Title :
Stabilization of nonlinear systems based on piecewise Lyapunov functions
Author :
Taniguchi, Tadanari ; Sugeno, Michio
Author_Institution :
Inst. of Brain Sci., RIKEN, Saitama, Japan
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;
Conference_Titel :
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
Print_ISBN :
0-7803-8353-2
DOI :
10.1109/FUZZY.2004.1375420
