Characterization of stability transitions and practical stability of planar singularly perturbed linear switched systems

2011 ◽  
Author(s):  
Fouad El Hachemi ◽  
Mario Sigalotti ◽  
Jamal Daafouz
Keyword(s):  
Switched Systems ◽  
Singularly Perturbed ◽  
Practical Stability

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 State Tracking of MRAC Systems in the Presence of Controller Temporary Failure Based on a Switching Method

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Caiyun Wu ◽  
Jun Zhao
Keyword(s):  
Adaptive Control ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Practical Stability ◽  
Tracking Problem ◽  
Failure Frequency ◽  
Error System ◽  
State Tracking ◽  
Switching Method ◽  
Model Reference Adaptive

The state tracking problem for a class of model reference adaptive control (MRAC) systems in the presence of controller temporary failures is studied. Due to the controller temporary failure, the considered system is viewed as an error switched system. The properties of Lyapunov function candidates without switching are described. Then the notion of global practical stability of switched systems is presented, and sufficient conditions for global practical stability of the error system under the restrictions of controller failure frequency and unavailability rate are provided. An example is presented to demonstrate the feasibility and effectiveness of the proposed method.

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