NDLI: Stability Analysis and <formula formulatype=inline><tex>$H_{infty}$</tex></formula> Controller Design of Discrete-Time Fuzzy Large-Scale Systems Based on Piecewise Lyapunov Functions

Content Provider	IEEE Xplore Digital Library
Author	Hongbin Zhang Gang Feng
Copyright Year	1996
Abstract	This paper is concerned with stability analysis and H _infin decentralized control of discrete-time fuzzy large-scale systems based on piecewise Lyapunov functions. The fuzzy large-scale systems consist of J interconnected discrete-time Takagi-Sugeno (T-S) fuzzy subsystems, and the stability analysis is based on Lyapunov functions that are piecewise quadratic. It is shown that the stability of the discrete-time fuzzy large-scale systems can be established if a piecewise quadratic Lyapunov function can be constructed, and moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that are numerically feasible. The H _infin controllers are also designed by solving a set of LMIs based on these powerful piecewise quadratic Lyapunov functions. It is demonstrated via numerical examples that the stability and controller synthesis results based on the piecewise quadratic Lyapunov functions are less conservative than those based on the common quadratic Lyapunov functions.
Page Count	12
File Size	742300
Starting Page	1390
Ending Page	1401
File Format	PDF
ISSN	10834419
Volume Number	38
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-10-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability analysis Fuzzy systems Lyapunov method Large-scale systems Fuzzy control Control system synthesis Fuzzy sets Linear matrix inequalities Educational technology Asymptotic stability Takagi–Sugeno (T–S) model Discrete-time fuzzy large-scale system $H_{\infty}$ control linear matrix inequalities (LMIs) stability
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Information Systems Electrical and Electronic Engineering Human-Computer Interaction Computer Science Applications Software

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