Controller design and analysis for singularly perturbed switched systems with actuator saturation

2016 ◽  
Vol 26 (15) ◽  
pp. 3404-3420 ◽  
Author(s):  
Xiaoping Ma ◽  
Qianjin Wang ◽  
Linna Zhou ◽  
Chunyu Yang
Keyword(s):  
Switched Systems ◽  
Controller Design ◽  
Actuator Saturation ◽  
Singularly Perturbed

scholarly journals Fuzzy Controllers for Nonaffine-in-Control Singularly Perturbed Switched Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Linna Zhou ◽  
Qianjin Wang ◽  
Xiaoping Ma ◽  
Chunyu Yang
Keyword(s):  
Switched Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Design Method ◽  
Singularly Perturbed ◽  
Dynamic State ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Stability Bound ◽  
Takagi Sugeno

This paper investigates the problem of fuzzy controller design for nonaffine-in-control singularly perturbed switched systems (NCSPSSs). First, the NCSPSS is approximated by Takagi-Sugeno (T-S) models which include not only state but also control variables in the premise part of the rules. Then, a dynamic state feedback controller design method is proposed in terms of linear matrix inequalities. Under the controller, stability bound estimation problem of the closed-loop system is solved. Finally, an example is given to show the feasibility and effectiveness of the obtained methods.

scholarly journals H∞ Control for T-S Fuzzy Singularly Perturbed Switched Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-13
Author(s):  
Qianjin Wang ◽  
Linna Zhou ◽  
Wei Dai ◽  
Xiaoping Ma
Keyword(s):  
Switched Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Design Method ◽  
Average Dwell Time ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Function Technique ◽  
Pendulum System ◽  
Inverted Pendulum System

This paper is concerned with the design of fuzzy controller with guaranteed H∞ performance for a class of Takagi-Sugeno (T-S) fuzzy singularly perturbed switched systems. First, by using the average dwell time approach together with the piecewise Lyapunov function technique, a state feedback controller that depends on the singular perturbation parameter ε is developed. This controller is shown to work well for all ε∈(0,ε0]. Then, for sufficiently small ε, an ε-independent controller design method is proposed. Furthermore, under the ε-independent controller, the ε-bound estimation problem of the overall switched closed-loop system is solved. Finally, an inverted pendulum system is used to evaluate the feasibility and effectiveness of the obtained results.

Anti-windup control for nonlinear singularly perturbed switched systems with actuator saturation

2018 ◽  
Vol 49 (10) ◽  
pp. 2187-2201 ◽  
Author(s):  
Linna Zhou ◽  
Congcong Wang ◽  
Qianjin Wang ◽  
Chunyu Yang
Keyword(s):  
Switched Systems ◽  
Actuator Saturation ◽  
Singularly Perturbed

Adaptive event-triggered control for master-slave switched systems subject to attacked state-dependent switching law

2021 ◽  
pp. 014233122098594
Author(s):  
Lingcong Nie ◽  
Xindi Xu ◽  
Yan Li ◽  
Weiyu Jiang ◽  
Yiwen Qi ◽  
...  
Keyword(s):  
Time Delay ◽  
Switched Systems ◽  
System Performance ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
Switched System ◽  
Switching Law ◽  
Variable Threshold ◽  
Event Triggering ◽  
Event Triggered

This paper investigates adaptive event-triggered [Formula: see text] control for network-based master-slave switched systems subject to actuator saturation and data injection attacks. It is an important and unrecognised issue that the switching signal is affected from both event-triggering scheme and network attacks. An adaptive event-triggering scheme is proposed that can adjust the triggering frequency through a variable threshold based on system performance. Furthermore, considering the impacts of transmission delays and actuator saturation, an event-triggered time-delay error switched system is developed. Subsequently, by utilizing piecewise Lyapunov functional technique, sufficient conditions are derived to render the time-delay error switched system to have an [Formula: see text] performance level. In particular, the coupling between switching instants and data updating instants is analyzed during the system performance analysis. Moreover, sufficient conditions for the desired state-feedback controller gains and event-triggering parameter are presented. Finally, a numerical example is given to verify the effectiveness of the proposed method.

scholarly journals Static Output Feedback Control for Discrete-Time Switched Systems via Improved Path-Following Method

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Jian Chen ◽  
Chong Lin
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
Output Feedback ◽  
Switched Systems ◽  
Controller Design ◽  
Output Feedback Control ◽  
Path Following ◽  
Static Output Feedback ◽  
Static Output Feedback Control ◽  
Static Output

This paper focuses on the problems of static output feedback control andH∞controller design for discrete-time switched systems. Based on piecewise quadratic Lyapunov functions and a new linearization method, new sufficient conditions for system stability andH∞controller design are obtained. Then, an improved path-following algorithm is built to solve the problems. Finally, the merits and effectiveness of the proposed method are shown by two numerical examples.

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