Adaptive finite-time control for uncertain nonlinear systems with application to mechanical systems

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• 作者：Mingjie Cai ; Zhengrong Xiang ; Jian Guo
• 关键词：Fuzzy logic systems (FLSs) ; Finite ; time control ; Adaptive control ; Nonlinear systems ; Uncertain systems ; Mechanical systems
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：84
• 期：2
• 页码：943-958
• 全文大小：1,315 KB
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• 作者单位：Mingjie Cai (1)
  Zhengrong Xiang (1)
  Jian Guo (1)
  
  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China
  
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

In this paper, an adaptive fuzzy finite-time control scheme is proposed for a class of nonlinear systems with unknown nonlinearities via backstepping technique. Fuzzy logic systems are employed to approximate the unknown continuous functions. Under some appropriate assumptions, it is proved that if the designed parameters in the controller and adaptive laws are suitably chosen, the proposed scheme can guarantee that the state of the closed-loop system converges to a small neighborhood of the origin in finite time. Moreover, the design strategy is successfully applied to solve the problem of finite-time tracking for a class of mechanical systems.