Stabilization of nonlinear systems based on piecewise Lyapunov functions

被引:0
|
作者
Taniguchi, T [1 ]
Sugeno, M [1 ]
机构
[1] RIKEN, Brain Sci Inst, Wako, Saitama 3510198, Japan
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暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper 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.
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页码:1607 / 1612
页数:6
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