scholarly journals Robust switched controller design for linear continuous-time systems

2015 ◽  
Vol 25 (4) ◽  
pp. 401-416 ◽  
Author(s):  
Adrian Ilka ◽  
Vojtech Veselý
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Novel Approach ◽  
Continuous Time Systems ◽  
Parameter Dependent ◽  
Time Systems ◽  
Quadratic Cost Function

Abstract In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.

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 Robust decentralized switched controller design for linear continuous-time systems

2020 ◽  
Vol 71 (4) ◽  
pp. 246-253
Author(s):  
Vojtech Veselý
Keyword(s):  
Large Scale ◽  
Controller Design ◽  
Linear Time ◽  
Design Procedure ◽  
Input Structure ◽  
Subsystem Level ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Gain Scheduled ◽  
Quadratic Cost Function

AbstractThe paper is devoted to obtain original equivalent subsystem method to design of decentralized controller for linear large scale systems. On the theoretical example a new robust decentralized PID switched controller design procedure is obtained for linear time-varying (gain scheduled plant model) uncertain complex system with decentralized output and input structure. Controller design procedure to decentralized controller design performs on the subsystem level. The designed decentralized switched controller ensures the robust stability of closed-loop complex polytopic system with performance H2 quadratic cost function (QSR). The proposed practical examples with ideal or non-ideal switch of switching parameters show the effectiveness of equivalent subsystem approach.

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.

Controller design for systems subject to multi-layer nested saturation via event-triggered scheme

2020 ◽  
pp. 014233122094048
Author(s):  
Yuan Zhou ◽  
Hongchao Li ◽  
Jiao Liu ◽  
Dedong Yang
Keyword(s):  
Continuous Time ◽  
Optimization Problem ◽  
Final Section ◽  
Controller Design ◽  
Domain Of Attraction ◽  
Time Interval ◽  
Event Time ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Event Triggered

The design of an event-triggered controller to stabilize the continuous-time systems subject to multi-layer nested saturation is presented in this paper. As a complex nonlinearity, the nested saturation exists in a large number of systems, which may degrade the performance of the system. The sufficient condition for stabilization of the multi-layer saturated system is given by employing event-triggered control, which could reduce communication load of the system. The lower bound of the inter-event time interval is calculated to avoid the Zeno behavior. The domain of attraction for the system is estimated, which is determined by solving an optimization problem. The main advantage of the proposed approach lies in the extensive applicability for different layers of the nested saturation. In the final section, simulation and pratical examples are given to demonstrated the effectiveness of the proposed results.

scholarly journals On improving the convergence rate of linear continuous-time systems subject to asymmetrically constrained control

2006 ◽  
Vol 2006 ◽  
pp. 1-14 ◽  
Author(s):  
A. Baddou ◽  
M. Naib ◽  
F. Tadeo ◽  
A. Benzaouia
Keyword(s):  
Continuous Time ◽  
Design Methodology ◽  
Controller Design ◽  
Piecewise Linear ◽  
Control Law ◽  
Constrained Control ◽  
Control Vector ◽  
Control Signals ◽  
Continuous Time Systems ◽  
Time Systems

This paper solves the problem of controlling linear continuous-time systems subject to control signals constrained in magnitude (maybe asymmetrically). A controller design methodology is proposed, based on using an asymmetric Lyapunov function, that avoids the discontinuities in the control vector components resulting from the application of a piecewise linear control law previously proposed. The proposed method gives improved speed of convergence without discontinuities of the control vector components, respecting always the imposed asymmetric constraints. An example illustrates the approach.

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