Robust observer-based control for uncertain discrete-time piecewise affine systems

被引：8
|
作者：
Yahui Gao
Zhiyuan Liu
Hong Chen
机构：
[1] AVIC (Aviation Industry Corporation of China) China Aviation Motor Control System Institute,Department of Control Science and Engineering
[2] Harbin Institute of Technology,Department of Control Science and Engineering
[3] Jilin University,undefined
来源：
Journal of Control Theory and Applications | 2012年 / 10卷 / 2期
关键词：
Piecewise affine systems; Robust control; Observer; Linear matrix inequality;
D O I：
10.1007/s11768-012-9145-7
中图分类号：
学科分类号：
摘要：
The main contribution of this paper is to present a novel robust observer-based controller design method for discrete-time piecewise affine systems with norm-bounded uncertainties. The key ideas are to construct a piecewise-quadratic Lyapunov function to guarantee the stability of the closed-loop systems, approximate polytopic operating regions by ellipsoids, and use the singular value decomposition technique to treat the constraint of matrix equality. It is shown that the suggested control method can be formulated as linear matrix inequalities that are numerically feasible with commercially available software. A numerical example is also given to verify the proposed approach.
引用
收藏
页码：236 / 243
页数：7
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