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

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 d...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-11
Main Authors: Yang, Chunyu, Ma, Xiaoping, Wang, Qianjin, Zhou, Linna
Format: Article
Language:English
Subjects:
Approximation
Closed loop systems
Closed loops
Control systems
Control systems design
Controllers
Design engineering
Dynamical systems
Dynamics
Feasibility
Feedback control
Fuzzy control
Fuzzy logic
Fuzzy systems
Linear matrix inequalities
Mathematical models
Mathematical problems
Methods
Science
State feedback
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/896413