DocumentCode
2244547
Title
Stabilization of nonlinear systems based on piecewise Lyapunov functions
Author
Taniguchi, Tadanari ; Sugeno, Michio
Author_Institution
Inst. of Brain Sci., RIKEN, Saitama, Japan
Volume
3
fYear
2004
fDate
25-29 July 2004
Firstpage
1607
Abstract
This work presents a stabilization algorithm for piecewise approximated nonlinear systems based on piecewise Lyapunov functions. The stabilizing conditions are expressed in terms of bilinear matrix inequalities (BMIs). A large-scale BMI problem is decomposed in regional BMI problems. Connecting regional solutions of BMIs, we propose a design algorithm for a semi-global stabilizing controller. Some illustrated examples are given to show the validity of the proposed method.
Keywords
Lyapunov methods; linear matrix inequalities; nonlinear control systems; piecewise linear techniques; stability; bilinear matrix inequalities; nonlinear systems stabilization; piecewise Lyapunov functions; semiglobal stabilizing controller; Algorithm design and analysis; Fuzzy control; Joining processes; Large-scale systems; Linear matrix inequalities; Lyapunov method; Matrix decomposition; Nonlinear systems; Stability; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
ISSN
1098-7584
Print_ISBN
0-7803-8353-2
Type
conf
DOI
10.1109/FUZZY.2004.1375420
Filename
1375420
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