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

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• 作者：Yahui Gao ; Zhiyuan Liu ; Hong Chen
• 关键词：Piecewise affine systems ; Robust control ; Observer ; Linear matrix inequality
• 刊名：Control Theory and Technology
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：10
• 期：2
• 页码：236-243
• 全文大小：309 KB
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• 作者单位：Yahui Gao (1)
  Zhiyuan Liu (2)
  Hong Chen (3)
  
  1. AVIC (Aviation Industry Corporation of China) China Aviation Motor Control System Institute, Wuxi Jiangsu, 214063, China
  2. Department of Control Science and Engineering, Harbin Institute of Technology, Harbin Heilongjiang, 150001, China
  3. Department of Control Science and Engineering, Jilin University, Changchun Jilin, 130025, China
  
• 刊物类别：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Rob
• 刊物主题：Control; Systems Theory, Control; Optimization; Computational Intelligence; Complexity; Control, Robotics, Mechatronics;
• 出版者：South China University of Technology and Academy of Mathematics and Systems Science, CAS
• ISSN：2198-0942

文摘

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. Keywords Piecewise affine systems Robust control Observer Linear matrix inequality