A Control Lyapunov Function Approach to Stabilization of Affine Nonlinear Systems with Bounded Uncertain Parameters

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• 作者：Wei Zhang (1)
  Housheng Su (2)
  Xiushan Cai (3)
  Hui Guo (4)
  
  1. Laboratory of Intelligent Control and Robotics ; Shanghai University of Engineering Science ; Shanghai ; 201620 ; China
  2. School of Automation ; Image Processing and Intelligent Control ; Key Laboratory of Education Ministry of China ; Huazhong University of Science and Technology ; Wuhan ; 430074 ; China
  3. College of Mathematics ; Physics ; and Information Engineering ; Zhejiang Normal University ; Jinhua ; 321004 ; China
  4. College of Automotive Engineering ; Shanghai University of Engineering Science ; Shanghai ; 201620 ; China
  
• 关键词：Nonlinear stabilization ; Robust control Lyapunov functions ; Parameter uncertainty ; Feedback linearizable systems ; Chaotic systems
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：34
• 期：1
• 页码：341-352
• 全文大小：392 KB
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• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

This paper considers the robust stabilization problem of a class of affine nonlinear systems with bounded uncertain time-invariant parameters. A robust control Lyapunov function (RCLF) is introduced for the considered system. Based on the RCLF, a globally asymptotically stabilizing controller is then designed. The proposed controller is robust under the variant of system parameters. As the applications of the proposed scheme, the stabilization of uncertain feedback linearizable systems and the unified chaotic system are investigated, respectively. A numerical example on the unified chaotic system is also provided to illustrate the effectiveness of the presented method.