scholarly journals Robust PID controller design for nonlinear systems

2018 ◽  
Vol 69 (1) ◽  
pp. 65-71 ◽  
Author(s):  
Vojtech Veselý ◽  
Ladislav Körösi
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Lyapunov Equation ◽  
Robust Controller ◽  
New Approach ◽  
Quadratic Stability ◽  
Guaranteed Cost ◽  
Pid Controller Design ◽  
Lipschitz Systems ◽  
Parameter Dependent

Abstract In this paper the new approach to the design of robust PID controller for the case of nonlinear Lipschitz systems is proposed. The proposed method is based on the uncertain gain scheduling plant model and Bellman Lyapunov equation. The designed robust controller ensures parameter dependent quadratic stability and in the frame of H2 performance guaranteed cost. Examples show the effectiveness of the proposed method.

scholarly journals Robust Gain–Scheduled PID Controller Design For Uncertain LPV Systems

2015 ◽  
Vol 66 (1) ◽  
pp. 19-25 ◽  
Author(s):  
Vojtech Veselý ◽  
Adrian Ilka
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Performance Quality ◽  
Lpv Systems ◽  
Guaranteed Cost ◽  
Pid Controller Design ◽  
Parameter Dependent ◽  
Gain Scheduled

Abstract A novel methodology is proposed for robust gain-scheduled PID controller design for uncertain LPV systems. The proposed design procedure is based on the parameter-dependent quadratic stability approach. A new uncertain LPV system model has been introduced in this paper. To access the performance quality the approach of a parameter varying guaranteed cost is used which allowed to reach for different working points desired performance. Numerical examples show the benefit of the proposed method.

A new approach to digital pid controller design

2003 ◽  
Vol 48 (4) ◽  
pp. 687-692 ◽  
Author(s):  
L.H. Keel ◽  
J.I. Rego ◽  
S.P. Bhattacharyya
Keyword(s):  
Pid Controller ◽  
Controller Design ◽  
New Approach ◽  
Digital Pid ◽  
Pid Controller Design

scholarly journals Robust PID Decentralized Controller Design Using LMI

2007 ◽  
Vol 2 (2) ◽  
pp. 195 ◽  
Author(s):  
Danica Rosinová ◽  
Vojtech Veselý
Keyword(s):  
Robust Stability ◽  
Stability Condition ◽  
Pid Controller ◽  
Controller Design ◽  
Uncertain System ◽  
Quadratic Performance Index ◽  
Robust Stability Analysis ◽  
Guaranteed Cost ◽  
Quadratic Performance ◽  
Parameter Dependent

The new LMI based method for robust stability analysis for linear uncertain system with PID controller is proposed. The general constrained structure of controller matrix is considered appropriate for both output feedback and decentralized control and the respective guaranteed cost control design scheme is presented. The sufficient robust stability condition is developed for extended quadratic performance index including first derivative of the state vector to damp oscillations. The obtained stability condition is formulated for parameter-dependent Lyapunov function.

scholarly journals Robust PID controller design with H2 performance: Descriptor systems approach

2019 ◽  
Vol 70 (6) ◽  
pp. 499-501
Author(s):  
Vojtech Veselý ◽  
Ladislav Körösi
Keyword(s):  
Cost Function ◽  
Pid Controller ◽  
Controller Design ◽  
Design Procedure ◽  
System Stability ◽  
Descriptor System ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Pid Controller Design ◽  
Quadratic Cost Function

Abstract The paper deals with the problem to obtain robust PID controller design procedure to linear time invariant descriptor uncertain polytopic systems using descriptor system stability theory and H2 criterion approach in the form of quadratic cost function. In the frame of Lyapunov function, H2 quadratic cost function and Bellman-Lyapunov equation the obtained designed novel procedure guarantees the robust properties of closed-loop system with parameter dependent quadratic stability/quadratic stability. In the obtained design procedure, the designer could use controller with different structure like as P, PI, PID, PI-D. For PI-D controllers D-part feedback the designer could choose any available output/state derivative variables of real systems. The effectiveness of the obtained results is demonstrated on the randomly generated examples.

scholarly journals Design of Robust Guaranteed Cost PID Controller for Networked Control Systems

2010 ◽  
Vol 61 (2) ◽  
pp. 114-119 ◽  
Author(s):  
Quang Nguyen ◽  
Vojtech Veselý
Keyword(s):  
Control Systems ◽  
Pid Controller ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Networked Control ◽  
Pid Controllers ◽  
Guaranteed Cost ◽  
Delay Dependent ◽  
Parameter Dependent

Design of Robust Guaranteed Cost PID Controller for Networked Control SystemsThe paper addresses the problem of an output feedback guaranteed cost controller design for Networked Control Systems (NCSs) with time-delay and polytopic uncertainties. By constructing a new parameter-dependent Lyapunov functional and applying the free-weighting matrices technique, the parameter-dependent, delay-dependent design method will be obtained to synthesize PID controllers achieving a guaranteed cost such that the NCSs can be stabilized for all admissible uncertainties and time-delays. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

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