PWA State Feedback Controller Synthesis for Piecewise-Linear Systems

被引:0
|
作者
Liu Kai [1 ]
Yao Yu [1 ]
Sun Dengfeng
Balakrishnan Venkataramanan
机构
[1] Harbin Inst Technol, Control & Simulat Ctr, Harbin 150080, Peoples R China
来源
2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年
关键词
Piecewise-linear systems; Piecewise Quadratic Lyapunov Function; Continuous Controller; Sliding Motion; Bilinear Matrix Inequalities (BMIs); STABILIZATION; DESIGN;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We propose a new technique for the design of piecewise affine(PWA) state feedback controller for piecewise-linear systems(PWL) under the consideration of the possibility for sliding motion on the boundaries between the polytopic regions, which is less conservative than existing approaches in the literatures. Using piecewise quadratic Lyapunov function and a new criterion for the avoidance of sliding motion, the stabilization problem is formulated as a numerical optimization problem under Bilinear Matrix Inequality (BMI) constraints; We demonstrate the efficacy and advantage of the algorithm through a numerical example.
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页码:1252 / 1257
页数:6
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