Fractional-order PID design: Towards transition from state-of-art to state-of-use (original) (raw)

Tuning and Analysis of Fractional Order PID Controller

2011

This paper presents the development of a new tuning method and performance of the fractional order PID controller includes the integer order PID controller parameter. The tuning of the PID controller is mostly done using Zeigler and Nichols tuning method. All the parameters of the controller, namely p K (Proportional gain), i K (integral gain), d K (derivative gain) can be determined by using Zeigler and Nichols method. Fractional order PID (FOPID) is a special kind of PID controller whose derivative and integral order are fractional rather than integer. To design FOPID controller is to determine the two important parameters λ (integrator order) and μ (derivative order).In this paper it is shown that the response and performance of FOPID controller is much better than integer order PID controller for the same system. Introduction PID controller is a well known controller which is used in the most application.PID controller becomes a most popular industrial controller due to its simp...

PI/PID Control Design Based on a Fractional-Order Model for the Process

IFAC-PapersOnLine, 2019

In this paper we propose a new tuning rule called FOMRoT for integer PID and PI controllers. Based on a fractional order model, the devised tuning rule aims at providing a good performance in both set-point tracking and load disturbance rejection tasks, with a constraint on the maximum sensitivity. The comparison with other tuning rules which also deal with these trade-offs shows the effectiveness of the tuning rule, which can be applied with processes with different self-regulated dynamics without the need to change the structure of the considered model.

Design and tuning of fractional-order PID controllers for time-delayed processes

2016 UKACC 11th International Conference on Control (CONTROL), 2016

Frequency domain based design methods are investigated for the design and tuning of fractional-order PID for scalar applications. Since Ziegler-Nichol's tuning rule and other algorithms cannot be applied directly to tuning of fractional-order controllers, a new algorithm is developed to handle the tuning of these fractional-order PID controllers based on a single frequency point just like Ziegler-Nichol's rule for inter order PID. Critical parameters of the system are obtained at the ultimate point and the controller parameters are calculated from these critical measurements to meet design specifications. Thereafter, fractional order is obtained to meet a specified robustness criteria which is the phase-invariability against gain variations around the phase cross-over frequency. Results are simulated on second-order plus dead time plant to demonstrate both performance and robustness.

Review, Design, Optimization and Stability Analysis of Fractional-Order PID Controller

International Journal of Intelligent Systems and Applications, 2016

This paper will establish the importance and significance of studying the fractional-order control of nonlinear dynamical systems. The foundation and the sources related to this research scope is going to be set. Then, the paper incorporates a brief overview on how this study is performed and p resent the organization of this study. The present work investigates the effectiveness of the physical-fractional and biological-genetic operators to develop an Optimal Form of Fract ional-order PID Controller (O2Fo-PIDC). The newly developed Fo-PIDC with optimal structure and parameters can, also, imp rove the performances required in the modeling and control of modern manufacturing-industrial process (MIP). The synthesis methodology of the proposed O2Fo-PIDC can be viewed as a mu lti-level design approach. The hierarchical Multiobject ive genetic algorith m (M GA), adopted in this work, can be visualized as a comb ination of structural and parametric genes of a controller orchestrated in a h ierarch ical fashion. Then, it is applied to select an optimal structure and knowledge base of the developed fractional controller to satisfy the various design specification contradictories (simplicity, accuracy, stability and robustness).

Fractional Order PID Controller (FOPID)-Toolbox

This paper presents a fractional order PID controller (FOPID)-Toolbox to design robust fractional P ID controllers achieving a desired crossover frequency and a desired phase margin. A novel approach based on nonsmooth optimization techniques is used. Two types of controllers are considered, the (P ID) n and P I α D β controllers. The requirements to be fulfilled by the controller are expressed in terms of a desired open-loop response. Loop shaping configuration is used to synthesize the controller. To optimize the fractional orders an optimization algorithm based on the steepest descent method is used. Simulation results show the benefit of our method.

Fully automated tuning and implementation of fractional PID controllers

2010

This paper deals with the implementation of an autotuning method for fractional order P I λ D µ controllers using a PLC. The purpose of the auto-tuning method proposed is to ensure a robust performance of the controlled system with respect to plant gain variations. Specifications of gain crossover frequency and phase margin are fulfilled, together with the iso-damping property of the time response of the system. The implementation procedure of the method in a PLC is also explained in detail. Experimental results are given to illustrate its effectiveness.

On Fractional-order PID Controllers

IFAC-PapersOnLine

A new Fractional Order Proportional-Integral (FOPI) controller is proposed in this paper for process control systems. This is achieved by extending the Biggest Log-modulus Tuning (BLT) method of designing conventional PID controllers to tuning FOPI controllers for multivariable processes. Unlike the conventional PID case, internal model control (IMC) method is first used to design the FOPI controller and obtain preliminary values of controller parameters. This yields simple formulae for setting controller gains. Thereafter, the FOPI controller gains are adjusted using a single detuning factor (F) until a biggest log modulus of 2N dB is obtained where N is the number of loops. Extended simulation studies show that good compromise between performance and robustness can be achieved for multiloop process control applications with the proposed FOPI controller.

A New Analytic Method to Tune a Fractional Order PID Controller

The Journal of Engineering, 2017

This paper proposes a new method to tune a fractional order PID controller. This method utilizes both the analytic and numeric approach to determine the controller parameters. The control design specifications that must be achieved by the control system are gain crossover frequency, phase margin, and peak magnitude at the resonant frequency, where the latter is a new design specification suggested by this paper. These specifications results in three equations in five unknown variables. Assuming that certain relations exist between two variables and discretizing one of them, a performance index can be evaluated and the optimal controller parameters that minimize this performance index are selected. As a case study, a third order linear time invariant system is taken as a process to be controlled and the proposed method is applied to design the controller. The resultant control system exactly fulfills the control design specification, a feature that is laked in numerical design method...

A fractional order PID tuning algorithm for a class of fractional order plants

2005

Fractional order dynamic model could model various real materials more adequately than integer order ones and provide a more adequate description of many actual dynamical processes. Fractional order controller is naturally suitable for these fractional order models. In this paper, a fractional order PID controller design method is proposed for a class of fractional order system models.

Tuning rules for fractional PID controllers

Fractional Differentiation and its Applications, …, 2006

This paper presents several tuning rules for fractional PID controllers, similar to the first and the second sets of tuning rules proposed by Ziegler and Nichols for integer PIDs. Fractional PIDs so tuned perform better than integer PIDs; in particular, step-responses have roughly constant overshoots even when the gain of the plant varies.