NDLI: Relaxed stability and stabilization conditions for a class of switched fuzzy discrete systems

Content Provider	IEEE Xplore Digital Library
Author	Hong Yang Xiaodong Liu Le Zhang
Copyright Year	2009
Description	Author affiliation: Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, 110044, China (Hong Yang; Le Zhang) \|\| School of Electronic and Information Engineering, Dalian University of Technology, 116023, China (Xiaodong Liu)
Abstract	This paper introduces a innovated representation model, namely, a discrete-time switched fuzzy (DTSF) system, which differs from existing ones. In this model, a system is a switched system whose subsystems are all discrete-time Takagi-Sugeno (T-S) fuzzy systems. This class of systems can often more precisely describe continuous dynamics and discrete dynamics as well as their interactions in complex real-world systems, and then the systems can be designed switching law intelligently, which is to choose the subsystem whose behavior is the best according to some performance criterion. Then in this paper, the state feedback controllers for the proposed DTSF systems are built to ensure that the relevant closed-loop system is quadratically stable using switching technique and the multiple Lyapunov functions method. Finally, switching laws of the state-dependent form achieving system quadratic stability of the switched fuzzy system are given. The main conditions are given in form of linear matrix inequalities (LMIs), which are easily solvable. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.
Starting Page	1027
Ending Page	1032
File Size	178707
Page Count	6
File Format	PDF
ISBN	9781424427222
DOI	10.1109/CCDC.2009.5191581
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Switching Law Global Model Switches Fuzzy Systems Lyapunov method Control systems Quadratically Stable Vehicle dynamics Switched systems Fuzzy control Optimal control Switched Systems Takagi-Sugeno model Fuzzy systems
Content Type	Text
Resource Type	Article

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