Seppo pohjolainen - Academia.edu (original) (raw)

Papers by Seppo pohjolainen

Research paper thumbnail of Students’ motivations for social media enhanced studying and learning

Knowledge Management & E-Learning: An International Journal, 2010

Solutions of social media enhanced learning are widely studied in Hypermedia Laboratory at Tamper... more Solutions of social media enhanced learning are widely studied in Hypermedia Laboratory at Tampere University of Technology (TUT). In recent years Web 2.0 based social media services (e.g., Facebook®, LinkedIn®, Last.fm®, etc.) have become popular, especially among young people. Based on this phenomenon TUT Hypermedia researchers have developed a social networking site for TUT freshmen aiming to provide convenient tools for interaction and study support. The first idea was to offer a free-of-charge social web site in the context of learning Basic Engineering Mathematics at TUT. This was thought to be an efficient tool to get new students studies off to a good start as mathematics courses play a significant role. However, the prediction failed, which caused us to study students’ motivations for social network site usage in the study context. This paper describes research conducted in 2009. Moreover, a description of subsequent measures accomplished (e.g., web site development and soc...

Research paper thumbnail of Mathematical Modelling

This book provides a thorough introduction to the challenge of applying mathematics in real-world... more This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis

Research paper thumbnail of Optimal Minimax Controllers with A Complex Remez Method

Research paper thumbnail of Robust regulation for exponentially stable boundary control systems in Hilbert space

Research paper thumbnail of On the design and evaluation of an open learning environment

International Journal of Continuing Engineering Education and Life-Long Learning, 1999

The purpose of the paper is to discuss and clarify the design and evaluation principles of open l... more The purpose of the paper is to discuss and clarify the design and evaluation principles of open learning environments. By an open learning environment we mean a virtual environment that can be used over computer networks, especially over the Internet, to support self-paced and collaborative learning. To make the environment useful, the design should be based on modern learning theories. These emphasize the learner's active role, collaboration and reflection in the construction of new knowledge. The main metaphors for learning environment consist of a state model of a classroom that can be reached from the students' or teachers' study. The system architecture consists of data management facilities including data acquisition, tools for communication and collaboration, course-dependent cognitive tools, and authoring tools for producing hypermedia courseware.

Research paper thumbnail of A learning experiment in mathematics using A&O-learning environment

International Journal of Continuing Engineering Education and Life-Long Learning, 2003

Tampere University of Technology, Digital Media Institute/Hypermedia Laboratory, PO Box 553, FIN-... more Tampere University of Technology, Digital Media Institute/Hypermedia Laboratory, PO Box 553, FIN-33101 Tampere, Finland Fax: + 358 3 3115 3549 E-mail: seppo.pohjolainen@tut.fi E-mail: sami.hautakangas@tut.fi, E-mail: pekka.a.ranta@tut.fi E-mail: jlevasma@pp.htv.fi ...

Research paper thumbnail of On the optimal minimax tuning of controllers for distributed parameter systems

Lecture Notes in Control and Information Sciences

The problem of tuning a stabilizing multivariable feedback controller for distributed parameter s... more The problem of tuning a stabilizing multivariable feedback controller for distributed parameter systems with a minimax criterion in the frequency domain will be discussed. The solution will be found with the aid of modified Youla parametrization, which is used to derive necessary robustness results for both the system and the cost functional. Finally a complex Remez optimization method is used

Research paper thumbnail of On the Discrete-Time Quadratic Optimum Control Problem in Reflexive Banach Space

Control of Distributed Parameter Systems, 1978

Research paper thumbnail of On the Optimal Tuning of a Robust Controller

Lecture Notes in Control and Information Sciences, 1986

Optimal tuning of a robust controller for distributed parameter systems is discussed. It is shown... more Optimal tuning of a robust controller for distributed parameter systems is discussed. It is shown that a closed loop system can be divided into slow and fast subsystems. The value of a quadratic criterion depends mostly on the slow subsystem. Then optimal control theory is used to select the controller to minimize the criterion.

Research paper thumbnail of Output regulation theory for distributed parameter systems with unbounded control and observation

52nd IEEE Conference on Decision and Control, 2013

ABSTRACT In this paper we consider the theory of robust out-put regulation for distributed parame... more ABSTRACT In this paper we consider the theory of robust out-put regulation for distributed parameter systems with infinite-dimensional exosystems. The main purpose of the paper is to extend selected results of the existing state space theory to allow plants with unbounded control and observation operators. In particular, we show that under suitable assumptions on the closed-loop system, the solvability of the output regulation problem can be characterized using the solvability of the regulator equations. The theoretic results are illustrated with an example where we consider output tracking for a heat equation with point observation.

Research paper thumbnail of On the realization of periodic functions

Systems & Control Letters, 2005

In this article, canonical and spectrally minimal infinite-dimensional state space realizations f... more In this article, canonical and spectrally minimal infinite-dimensional state space realizations for periodic functions are considered. It is shown that the periodic functions having 1 Fourier coefficients are precisely those realizable by a Riesz spectral system (RSS) in which the system operator generates a periodic strongly continuous semigroup and the observation operator is bounded. This realization can easily be converted to a canonical and spectrally minimal form. It is shown how the use of RSS and Cesáro sums of Fourier series allows the construction of a state space realization for a given periodic function merely integrable over its period. Simple finite-dimensional approximations with error bounds are derived for the RSS realization. Regular well-posed linear systems (WPLS) are used to construct a Fuhrmann-type realization for a given periodic function integrable over its period. It is shown that the RSS realizations and WPLS realizations are precisely equally good at coping with the possible ill behavior of a given bounded periodic function integrable over its period, but the WPLS realization is not always spectrally minimal or canonical.

Research paper thumbnail of Robust regulation of stable infinite-dimensional plants in the H-infinity algebra

Research paper thumbnail of A new controller structure for robust output regulation

53rd IEEE Conference on Decision and Control, 2014

In this paper we employ a new controller structure in solving the robust output regulation proble... more In this paper we employ a new controller structure in solving the robust output regulation problem for a linear distributed parameter system with finite or infinite-dimensional exosystems. In the case of an infinite-dimensional exosystem we also present additional conditions for achieving polynomial or logarithmic nonuniform decay rates for the closed-loop semigroup.

Research paper thumbnail of Hypermedia for mathematics: authoring courses with HMLE

World Conference on Computers in Education VI, 1995

This paper describes a hypermedia based learning environment called HMLE for authoring courses in... more This paper describes a hypermedia based learning environment called HMLE for authoring courses in mathematics. HMLE enables the author to use mathematical text with formulas, mathematical tool programs, concept maps, interactive exercises and digitized videos. In the paper HMLE is compared with a number of other hypermedia environments and the differences between these environments are shown. The HMLE tools are being used to create a pilot hypermedia based course on matrix algebra at

Research paper thumbnail of Social media enhanced studying and learning in higher education

IEEE EDUCON 2010 Conference, 2010

Social media services have recently become well known especially among young people [1]. In socia... more Social media services have recently become well known especially among young people [1]. In social networking sites a user can participate intensively in activities in the service. To support collaborative study at Tampere University of Technology (TUT) and also to provide social networking tools for students especially at the beginning their studies, the development TUT's own social network site was begun in spring 2008. To make the system popular among students, developers and researchers at the Department of Mathematics and Hypermedia Laboratory at TUT designed interventions for fall 2009 when the semester began and new students started their studies. The earlier research [2] revealed numerous motivating aspects that should be somehow included in a study oriented social networking site. This paper will describe the research results of interventions to motivate students to use a social networking site in the context of studies. The results will show that such an environment with social aspects connected to studying and study life on various levels is a means of enhancing studies and basically a necessary tool, especially for students in the early phase of their studies in a new university. The motivation should be further encouraged by the system itself when it relies on students' own voluntary activity. Moreover, the intensive actions of developers, researchers and administrators can be used as tools in directing network activity development.

Research paper thumbnail of A multidisciplinary tool for the evaluation of usability, pedagogical usability, accessibility and informational quality of web-based courses

The Eleventh International PEG …, 2003

Web-based learning environments have been extensively developed, adopted and in consequence a lar... more Web-based learning environments have been extensively developed, adopted and in consequence a large amount of data has been collected from various web-based teaching experiments. Often platforms, web-based courses and web-based training services have been evaluated from rather narrow points of view. Further development of evaluation should to be based on a multidisciplinary framework right from piloting to the establishment of the web-based learning practices. A multidisciplinary evaluation framework is needed to define the factors critical in the implementation of training services for a given group of learners, as well as teachers and researchers of web-based courses. Researchers and teachers should pay attention to how the usability, accessibility and pedagogical appropriateness are taken into account in user interfaces and in the planning, designing and implementation of information content.

Research paper thumbnail of Robust Regulation of Distributed Parameter Systems with Infinite-Dimensional Exosystems

SIAM Journal on Control and Optimization, 2010

Research paper thumbnail of Feedback and Feedforward Output Regulation of Bounded Uniformly Continuous Signals for Infinite‐Dimensional Systems

SIAM Journal on Control and Optimization, 2006

ABSTRACT

Research paper thumbnail of Acoustic simulation for a loudspeaker using FEM/BEM

The Journal of the Acoustical Society of America, 1998

Although the theory of acoustics is well known, computers and numerical methods have not been eff... more Although the theory of acoustics is well known, computers and numerical methods have not been effectively utilized in the field. Formulating a sufficiently good physical model is often difficult. The wave equation for pressure can easily be derived, but the boundary conditions are not so obvious. The structure of the walls of an acoustic cavity and the behavior of surface materials can be quite complex. In addition, under the influence of an acoustic field the structures can start vibrating, and this vibration is then coupled to the acoustic field. Mathematically this leads to a system of two partial differential equations. This paper studies the problem of computing an internal acoustic field of a loudspeaker box. The acoustic properties of walls, made of MDF, are taken into account by using the impedance boundary condition. The coupling between the structure and the fluid is also considered. Both finite‐element and boundary‐ element methods (FEM/BEM with SYSNOISE) are used for numerical computations and the results are compared with each other and with analytical solutions. When the wavelength is decreased, the element grid must be refined and the number of equations becomes very large. This is why partial differential equation models are more suitable in low frequencies.

Research paper thumbnail of Clustering and achievement of engineering students based on their attitudes, orientations, motivations and intentions

Insufficient skills in basic mathematics cause problems for those majoring in engineering at univ... more Insufficient skills in basic mathematics cause problems for those majoring in engineering at university level. Learning entails the learner's own initiative in the achievement of learning objectives. Factors with bearing on what students do include attitudes: orientations, intentions and motivations. The present study ascertains how new undergraduates of Tampere University of Technology (TUT) differ in their attitudes to the study of mathematics. On the basis of their attitudes students are classified into different learner groups. The learner groups that were found were Surface Oriented Learners, Peer Learners, Students Needing Support, Independent Learners and Skilful Students. In this paper we present a Basic Skills Test, a web-application which meas ures high school basic skills in mathematics and Remedial Instruction arrangement which is also a web-application intended to fill in gaps in students' basic skills in mathematics. The relation between the basic skills and ...

Research paper thumbnail of Students’ motivations for social media enhanced studying and learning

Knowledge Management & E-Learning: An International Journal, 2010

Solutions of social media enhanced learning are widely studied in Hypermedia Laboratory at Tamper... more Solutions of social media enhanced learning are widely studied in Hypermedia Laboratory at Tampere University of Technology (TUT). In recent years Web 2.0 based social media services (e.g., Facebook®, LinkedIn®, Last.fm®, etc.) have become popular, especially among young people. Based on this phenomenon TUT Hypermedia researchers have developed a social networking site for TUT freshmen aiming to provide convenient tools for interaction and study support. The first idea was to offer a free-of-charge social web site in the context of learning Basic Engineering Mathematics at TUT. This was thought to be an efficient tool to get new students studies off to a good start as mathematics courses play a significant role. However, the prediction failed, which caused us to study students’ motivations for social network site usage in the study context. This paper describes research conducted in 2009. Moreover, a description of subsequent measures accomplished (e.g., web site development and soc...

Research paper thumbnail of Mathematical Modelling

This book provides a thorough introduction to the challenge of applying mathematics in real-world... more This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis

Research paper thumbnail of Optimal Minimax Controllers with A Complex Remez Method

Research paper thumbnail of Robust regulation for exponentially stable boundary control systems in Hilbert space

Research paper thumbnail of On the design and evaluation of an open learning environment

International Journal of Continuing Engineering Education and Life-Long Learning, 1999

The purpose of the paper is to discuss and clarify the design and evaluation principles of open l... more The purpose of the paper is to discuss and clarify the design and evaluation principles of open learning environments. By an open learning environment we mean a virtual environment that can be used over computer networks, especially over the Internet, to support self-paced and collaborative learning. To make the environment useful, the design should be based on modern learning theories. These emphasize the learner's active role, collaboration and reflection in the construction of new knowledge. The main metaphors for learning environment consist of a state model of a classroom that can be reached from the students' or teachers' study. The system architecture consists of data management facilities including data acquisition, tools for communication and collaboration, course-dependent cognitive tools, and authoring tools for producing hypermedia courseware.

Research paper thumbnail of A learning experiment in mathematics using A&O-learning environment

International Journal of Continuing Engineering Education and Life-Long Learning, 2003

Tampere University of Technology, Digital Media Institute/Hypermedia Laboratory, PO Box 553, FIN-... more Tampere University of Technology, Digital Media Institute/Hypermedia Laboratory, PO Box 553, FIN-33101 Tampere, Finland Fax: + 358 3 3115 3549 E-mail: seppo.pohjolainen@tut.fi E-mail: sami.hautakangas@tut.fi, E-mail: pekka.a.ranta@tut.fi E-mail: jlevasma@pp.htv.fi ...

Research paper thumbnail of On the optimal minimax tuning of controllers for distributed parameter systems

Lecture Notes in Control and Information Sciences

The problem of tuning a stabilizing multivariable feedback controller for distributed parameter s... more The problem of tuning a stabilizing multivariable feedback controller for distributed parameter systems with a minimax criterion in the frequency domain will be discussed. The solution will be found with the aid of modified Youla parametrization, which is used to derive necessary robustness results for both the system and the cost functional. Finally a complex Remez optimization method is used

Research paper thumbnail of On the Discrete-Time Quadratic Optimum Control Problem in Reflexive Banach Space

Control of Distributed Parameter Systems, 1978

Research paper thumbnail of On the Optimal Tuning of a Robust Controller

Lecture Notes in Control and Information Sciences, 1986

Optimal tuning of a robust controller for distributed parameter systems is discussed. It is shown... more Optimal tuning of a robust controller for distributed parameter systems is discussed. It is shown that a closed loop system can be divided into slow and fast subsystems. The value of a quadratic criterion depends mostly on the slow subsystem. Then optimal control theory is used to select the controller to minimize the criterion.

Research paper thumbnail of Output regulation theory for distributed parameter systems with unbounded control and observation

52nd IEEE Conference on Decision and Control, 2013

ABSTRACT In this paper we consider the theory of robust out-put regulation for distributed parame... more ABSTRACT In this paper we consider the theory of robust out-put regulation for distributed parameter systems with infinite-dimensional exosystems. The main purpose of the paper is to extend selected results of the existing state space theory to allow plants with unbounded control and observation operators. In particular, we show that under suitable assumptions on the closed-loop system, the solvability of the output regulation problem can be characterized using the solvability of the regulator equations. The theoretic results are illustrated with an example where we consider output tracking for a heat equation with point observation.

Research paper thumbnail of On the realization of periodic functions

Systems & Control Letters, 2005

In this article, canonical and spectrally minimal infinite-dimensional state space realizations f... more In this article, canonical and spectrally minimal infinite-dimensional state space realizations for periodic functions are considered. It is shown that the periodic functions having 1 Fourier coefficients are precisely those realizable by a Riesz spectral system (RSS) in which the system operator generates a periodic strongly continuous semigroup and the observation operator is bounded. This realization can easily be converted to a canonical and spectrally minimal form. It is shown how the use of RSS and Cesáro sums of Fourier series allows the construction of a state space realization for a given periodic function merely integrable over its period. Simple finite-dimensional approximations with error bounds are derived for the RSS realization. Regular well-posed linear systems (WPLS) are used to construct a Fuhrmann-type realization for a given periodic function integrable over its period. It is shown that the RSS realizations and WPLS realizations are precisely equally good at coping with the possible ill behavior of a given bounded periodic function integrable over its period, but the WPLS realization is not always spectrally minimal or canonical.

Research paper thumbnail of Robust regulation of stable infinite-dimensional plants in the H-infinity algebra

Research paper thumbnail of A new controller structure for robust output regulation

53rd IEEE Conference on Decision and Control, 2014

In this paper we employ a new controller structure in solving the robust output regulation proble... more In this paper we employ a new controller structure in solving the robust output regulation problem for a linear distributed parameter system with finite or infinite-dimensional exosystems. In the case of an infinite-dimensional exosystem we also present additional conditions for achieving polynomial or logarithmic nonuniform decay rates for the closed-loop semigroup.

Research paper thumbnail of Hypermedia for mathematics: authoring courses with HMLE

World Conference on Computers in Education VI, 1995

This paper describes a hypermedia based learning environment called HMLE for authoring courses in... more This paper describes a hypermedia based learning environment called HMLE for authoring courses in mathematics. HMLE enables the author to use mathematical text with formulas, mathematical tool programs, concept maps, interactive exercises and digitized videos. In the paper HMLE is compared with a number of other hypermedia environments and the differences between these environments are shown. The HMLE tools are being used to create a pilot hypermedia based course on matrix algebra at

Research paper thumbnail of Social media enhanced studying and learning in higher education

IEEE EDUCON 2010 Conference, 2010

Social media services have recently become well known especially among young people [1]. In socia... more Social media services have recently become well known especially among young people [1]. In social networking sites a user can participate intensively in activities in the service. To support collaborative study at Tampere University of Technology (TUT) and also to provide social networking tools for students especially at the beginning their studies, the development TUT's own social network site was begun in spring 2008. To make the system popular among students, developers and researchers at the Department of Mathematics and Hypermedia Laboratory at TUT designed interventions for fall 2009 when the semester began and new students started their studies. The earlier research [2] revealed numerous motivating aspects that should be somehow included in a study oriented social networking site. This paper will describe the research results of interventions to motivate students to use a social networking site in the context of studies. The results will show that such an environment with social aspects connected to studying and study life on various levels is a means of enhancing studies and basically a necessary tool, especially for students in the early phase of their studies in a new university. The motivation should be further encouraged by the system itself when it relies on students' own voluntary activity. Moreover, the intensive actions of developers, researchers and administrators can be used as tools in directing network activity development.

Research paper thumbnail of A multidisciplinary tool for the evaluation of usability, pedagogical usability, accessibility and informational quality of web-based courses

The Eleventh International PEG …, 2003

Web-based learning environments have been extensively developed, adopted and in consequence a lar... more Web-based learning environments have been extensively developed, adopted and in consequence a large amount of data has been collected from various web-based teaching experiments. Often platforms, web-based courses and web-based training services have been evaluated from rather narrow points of view. Further development of evaluation should to be based on a multidisciplinary framework right from piloting to the establishment of the web-based learning practices. A multidisciplinary evaluation framework is needed to define the factors critical in the implementation of training services for a given group of learners, as well as teachers and researchers of web-based courses. Researchers and teachers should pay attention to how the usability, accessibility and pedagogical appropriateness are taken into account in user interfaces and in the planning, designing and implementation of information content.

Research paper thumbnail of Robust Regulation of Distributed Parameter Systems with Infinite-Dimensional Exosystems

SIAM Journal on Control and Optimization, 2010

Research paper thumbnail of Feedback and Feedforward Output Regulation of Bounded Uniformly Continuous Signals for Infinite‐Dimensional Systems

SIAM Journal on Control and Optimization, 2006

ABSTRACT

Research paper thumbnail of Acoustic simulation for a loudspeaker using FEM/BEM

The Journal of the Acoustical Society of America, 1998

Although the theory of acoustics is well known, computers and numerical methods have not been eff... more Although the theory of acoustics is well known, computers and numerical methods have not been effectively utilized in the field. Formulating a sufficiently good physical model is often difficult. The wave equation for pressure can easily be derived, but the boundary conditions are not so obvious. The structure of the walls of an acoustic cavity and the behavior of surface materials can be quite complex. In addition, under the influence of an acoustic field the structures can start vibrating, and this vibration is then coupled to the acoustic field. Mathematically this leads to a system of two partial differential equations. This paper studies the problem of computing an internal acoustic field of a loudspeaker box. The acoustic properties of walls, made of MDF, are taken into account by using the impedance boundary condition. The coupling between the structure and the fluid is also considered. Both finite‐element and boundary‐ element methods (FEM/BEM with SYSNOISE) are used for numerical computations and the results are compared with each other and with analytical solutions. When the wavelength is decreased, the element grid must be refined and the number of equations becomes very large. This is why partial differential equation models are more suitable in low frequencies.

Research paper thumbnail of Clustering and achievement of engineering students based on their attitudes, orientations, motivations and intentions

Insufficient skills in basic mathematics cause problems for those majoring in engineering at univ... more Insufficient skills in basic mathematics cause problems for those majoring in engineering at university level. Learning entails the learner's own initiative in the achievement of learning objectives. Factors with bearing on what students do include attitudes: orientations, intentions and motivations. The present study ascertains how new undergraduates of Tampere University of Technology (TUT) differ in their attitudes to the study of mathematics. On the basis of their attitudes students are classified into different learner groups. The learner groups that were found were Surface Oriented Learners, Peer Learners, Students Needing Support, Independent Learners and Skilful Students. In this paper we present a Basic Skills Test, a web-application which meas ures high school basic skills in mathematics and Remedial Instruction arrangement which is also a web-application intended to fill in gaps in students' basic skills in mathematics. The relation between the basic skills and ...