V. Kapila - Academia.edu (original) (raw)
Papers by V. Kapila
Conference on Decision and Control, 1995
In this paper we construct a new class of parameter-dependent Lyapunov functions to guarantee rob... more In this paper we construct a new class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters
Lecture Notes in Control and Information Sciences, 1998
... Systems with Time Delay Wassim M. Haddad 1, Vikram Kapila 2 and Chaouki T. Abdallah 3 ... Ref... more ... Systems with Time Delay Wassim M. Haddad 1, Vikram Kapila 2 and Chaouki T. Abdallah 3 ... References 1. J. Cushing, "Integrodifferential equations and delay models in population dynam-ics," in Lecture Notes in Bio-Mathematics, vol. 20, Springer-Verlag, Berlin, 1977. ...
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
This paper describes the ongoing efforts in the Mechanical, Aerospace, and Manufacturing Engineer... more This paper describes the ongoing efforts in the Mechanical, Aerospace, and Manufacturing Engineering Department at Polytechnic University to develop a multidisciplinary, practice-oriented, control education program. This program exploits recent advances in PCand DSP-based real-time control hardware/software and the commercial availability of numerous educational control experimental setups. In particular, we describe the current status of the laboratory development effort and future plans.
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
In this paper, an adaptive, output feedback control design methodology is presented for a multipl... more In this paper, an adaptive, output feedback control design methodology is presented for a multiple spacecraft formation flying (MSFF) system. A Lagrangian derivation of the MSFF model is considered to produce position dynamics for follower spacecraft #n relative to follower spacecraft #(nl), assuming that the leader spacecraft in the formation follows a no-thrust, natural, elliptical orbit. Next, a control law is designed to provide a filtered velocity measurement and a desired adaptive compensation with semi-global, asymptotic, relative position tracking. The proposed control law is simulated for the case of two and three spacecraft and is shown to yield semi-global, asymptotic tracking of the relative position errors.
The parameter-dependent Lyapunov function approach of [9]- for robust controller synthesis with c... more The parameter-dependent Lyapunov function approach of [9]- for robust controller synthesis with constant real parameter uncertainty was extended to account for H1-disturbance rejection. Specifically, by merging the results of [1] and [9]-[11], controller synthesis design equations are presented that guarantee robust stability and robust mixed H2/H1 performance over a specified range of constant real parameter uncertainty.
... AQ fi A, + [a-'AdA: + r-2Vi,](P + P) -[K2AdC,T + r-2Vi2,]V2 -1 Q, T S TA P, ... ... more ... AQ fi A, + [a-'AdA: + r-2Vi,](P + P) -[K2AdC,T + r-2Vi2,]V2 -1 Q, T S TA P, ... and Control, (San Antonio, TX), 1993. [13] SI Niculescu, (2. E. de Souza, JM Dion, and L. Dugard, Robust stability and stabilization of uncertain linear systems with state delay: Single delay case (I), in Proc. ...
Addresses the problem of robust state feedback controller synthesis for discrete-time periodic sy... more Addresses the problem of robust state feedback controller synthesis for discrete-time periodic systems with periodic parametric uncertainty. A stabilisation technique for uncertain discrete-time periodic systems is developed which guarantees robust stability and performance in the face of system parametric uncertainty. The principal result of the paper involves a sufficient condition for characterising robust full-state feedback periodic controllers for uncertain discrete-time
... Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA iTel: +(l) 404 894 ... more ... Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA iTel: +(l) 404 894 1078; Fax: +(l) 404 894 2760; e-mail: win.haddad@aerospace.gate-ch ... 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -1 _-:5 3, Figure 1. Loop transformations from finite to infinite sector nonlinearities. ...
Proceedings of the 1997 IEEE International Conference on Control Applications, 1997
Thermoacoustic instabilities in combustion processes can have adverse effects on system performan... more Thermoacoustic instabilities in combustion processes can have adverse effects on system performance. In this paper we formulate the problem of active control of combustion instabilities in a form that lends itself to the application of robust feedback control design. Using the uncertain state-space system model, the parameterdependent Lyapunov function framework for robust fixed-order controller design developed by Haddad and Bernstein is used to design high performance reducedorder robust controllers for suppressing thermoacoustic oscillations in combustion chambers.
Under a National Science Foundation (NSF) funded GK-12 Fellows project, a solution to invigorate ... more Under a National Science Foundation (NSF) funded GK-12 Fellows project, a solution to invigorate high school students' interest in science, technology, engineering, and mathematics (STEM) careers is being examined and implemented. This paper provides an overview of our strategy and results from the first year of the project.
This paper considers the problem of stabilizing continuous-time linear systems with time delays. ... more This paper considers the problem of stabilizing continuous-time linear systems with time delays. Specifically, a fixed-order (i.e., full- and reduced-order) dynamic compensation problem is addressed for systems with simultaneous state, input, and output delays. The principal result involves sufficient conditions for characterizing fixed-order dynamic controllers for delay systems via a system of modified coupled Riccati equations. The controllers obtained are delay independent and hence apply to systems with arbitrary unknown delay
Conference on Decision and Control, 1995
In this paper we construct a new class of parameter-dependent Lyapunov functions to guarantee rob... more In this paper we construct a new class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters
Lecture Notes in Control and Information Sciences, 1998
... Systems with Time Delay Wassim M. Haddad 1, Vikram Kapila 2 and Chaouki T. Abdallah 3 ... Ref... more ... Systems with Time Delay Wassim M. Haddad 1, Vikram Kapila 2 and Chaouki T. Abdallah 3 ... References 1. J. Cushing, "Integrodifferential equations and delay models in population dynam-ics," in Lecture Notes in Bio-Mathematics, vol. 20, Springer-Verlag, Berlin, 1977. ...
Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334), 2000
This paper describes the ongoing efforts in the Mechanical, Aerospace, and Manufacturing Engineer... more This paper describes the ongoing efforts in the Mechanical, Aerospace, and Manufacturing Engineering Department at Polytechnic University to develop a multidisciplinary, practice-oriented, control education program. This program exploits recent advances in PCand DSP-based real-time control hardware/software and the commercial availability of numerous educational control experimental setups. In particular, we describe the current status of the laboratory development effort and future plans.
Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
In this paper, an adaptive, output feedback control design methodology is presented for a multipl... more In this paper, an adaptive, output feedback control design methodology is presented for a multiple spacecraft formation flying (MSFF) system. A Lagrangian derivation of the MSFF model is considered to produce position dynamics for follower spacecraft #n relative to follower spacecraft #(nl), assuming that the leader spacecraft in the formation follows a no-thrust, natural, elliptical orbit. Next, a control law is designed to provide a filtered velocity measurement and a desired adaptive compensation with semi-global, asymptotic, relative position tracking. The proposed control law is simulated for the case of two and three spacecraft and is shown to yield semi-global, asymptotic tracking of the relative position errors.
The parameter-dependent Lyapunov function approach of [9]- for robust controller synthesis with c... more The parameter-dependent Lyapunov function approach of [9]- for robust controller synthesis with constant real parameter uncertainty was extended to account for H1-disturbance rejection. Specifically, by merging the results of [1] and [9]-[11], controller synthesis design equations are presented that guarantee robust stability and robust mixed H2/H1 performance over a specified range of constant real parameter uncertainty.
... AQ fi A, + [a-'AdA: + r-2Vi,](P + P) -[K2AdC,T + r-2Vi2,]V2 -1 Q, T S TA P, ... ... more ... AQ fi A, + [a-'AdA: + r-2Vi,](P + P) -[K2AdC,T + r-2Vi2,]V2 -1 Q, T S TA P, ... and Control, (San Antonio, TX), 1993. [13] SI Niculescu, (2. E. de Souza, JM Dion, and L. Dugard, Robust stability and stabilization of uncertain linear systems with state delay: Single delay case (I), in Proc. ...
Addresses the problem of robust state feedback controller synthesis for discrete-time periodic sy... more Addresses the problem of robust state feedback controller synthesis for discrete-time periodic systems with periodic parametric uncertainty. A stabilisation technique for uncertain discrete-time periodic systems is developed which guarantees robust stability and performance in the face of system parametric uncertainty. The principal result of the paper involves a sufficient condition for characterising robust full-state feedback periodic controllers for uncertain discrete-time
... Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA iTel: +(l) 404 894 ... more ... Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA iTel: +(l) 404 894 1078; Fax: +(l) 404 894 2760; e-mail: win.haddad@aerospace.gate-ch ... 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 -1 _-:5 3, Figure 1. Loop transformations from finite to infinite sector nonlinearities. ...
Proceedings of the 1997 IEEE International Conference on Control Applications, 1997
Thermoacoustic instabilities in combustion processes can have adverse effects on system performan... more Thermoacoustic instabilities in combustion processes can have adverse effects on system performance. In this paper we formulate the problem of active control of combustion instabilities in a form that lends itself to the application of robust feedback control design. Using the uncertain state-space system model, the parameterdependent Lyapunov function framework for robust fixed-order controller design developed by Haddad and Bernstein is used to design high performance reducedorder robust controllers for suppressing thermoacoustic oscillations in combustion chambers.
Under a National Science Foundation (NSF) funded GK-12 Fellows project, a solution to invigorate ... more Under a National Science Foundation (NSF) funded GK-12 Fellows project, a solution to invigorate high school students' interest in science, technology, engineering, and mathematics (STEM) careers is being examined and implemented. This paper provides an overview of our strategy and results from the first year of the project.
This paper considers the problem of stabilizing continuous-time linear systems with time delays. ... more This paper considers the problem of stabilizing continuous-time linear systems with time delays. Specifically, a fixed-order (i.e., full- and reduced-order) dynamic compensation problem is addressed for systems with simultaneous state, input, and output delays. The principal result involves sufficient conditions for characterizing fixed-order dynamic controllers for delay systems via a system of modified coupled Riccati equations. The controllers obtained are delay independent and hence apply to systems with arbitrary unknown delay