DocumentCode :
2393832
Title :
An SOS-based stable control of polynomial discrete fuzzy systems
Author :
Tanaka, Kazuo ; Ohtake, Hiroshi ; Wang, Hua O.
Author_Institution :
Dept. of Mech. Syst. & Intell. Syst., Univ. of Electro-Commun., Chofu
fYear :
2008
fDate :
11-13 June 2008
Firstpage :
4875
Lastpage :
4880
Abstract :
This paper presents stability and stabilization conditions of polynomial discrete fuzzy systems. First, based on polynomial Lyapunov functions, we derive a stability condition of polynomial discrete fuzzy systems without inputs. Secondly, we derive a stabilization condition to design a stable polynomial fuzzy controller. Both of them are represented in terms of SOS and are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers contain discrete Takagi-Sugeno (T-S) fuzzy systems and controllers as a special case. Hence, the approach discussed in this paper is more general than that based on the existing LMI approaches to discrete T-S fuzzy control system designs. To illustrate the validity of the design approach, a design example is provided. The example shows the utility of our approach.
Keywords :
Lyapunov methods; control system synthesis; discrete systems; fuzzy control; fuzzy systems; polynomials; stability; LMI; Lyapunov functions; SOS-based stable control design; Takagi-Sugeno system; fuzzy controller; polynomial discrete fuzzy systems; stability; Control systems; Fuzzy control; Fuzzy systems; Linear systems; Lyapunov method; Nonlinear systems; Polynomials; Stability; Takagi-Sugeno model; Time measurement;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
ISSN :
0743-1619
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2008.4587266
Filename :
4587266
Link To Document :
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