输入饱和下非线性系统的事件触发控制器设计
Event-triggered controller design for nonlinear systems with input saturation
摘要点击 192  全文点击 71  投稿时间:2021-02-10  修订日期:2021-06-16
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DOI编号  10.7641/CTA.2021.10134
  2022,39(4):613-622
中文关键词  事件触发控制  输入饱和  非线性系统  混杂模型  鲁棒性
英文关键词  event-triggered control  input saturation  nonlinear systems  hybrid model  robustness
基金项目  江苏省自然科学基金面上项目(BK20201340), 中国博士后科学基金项目(2018M642160)资助.
作者单位E-mail
蔡旭 江南大学 caixu@stu.jiangnan.edu.cn 
楼旭阳 江南大学 Louxy@jiangnan.edu.cn 
崔宝同 江南大学  
中文摘要
      本文研究了具有输入饱和的非线性系统事件触发控制策略设计问题. 首先, 针对输入饱和下非线性系统, 建立混杂系统模型. 其次, 当非线性函数满足Lipschitz条件下, 给出闭环混杂系统局部一致渐近稳定性的稳定判据, 并设计了事件触发饱和控制器. 然后, 当非线性函数满足扇区条件时, 给出闭环混杂系统框架下满足局部一致渐近 稳定性的LMI条件, 并设计了事件触发饱和控制器. 进一步地, 在事件触发饱和控制器作用下, 分析了非线性系统的 半全局鲁棒镇定性. 最后, 结合两个仿真实例说明了所提出事件触发控制策略的有效性.
英文摘要
      This paper is concerned with the event-triggered control problem for nonlinear systems subject to input saturation. Firstly, a hybrid system model is established for nonlinear systems with input saturation. Then, when the nonlinear function satisfies the Lipschitz condition, a local uniform asymptotical stability criterion of the closed-loop hybrid system is established and the event-triggered saturated controller is designed. In addition, when the nonlinear function satisfies the sector condition, the linear matrix inequality (LMI) condition for local uniform asymptotical stability under the framework of the closed-loop hybrid system is established, and the event-triggered saturated controller is designed. Furthermore, we analyze the semi-global robust stabilization of nonlinear systems under the event-triggered saturated controller. Finally, two examples are provided to verify the effectiveness of the proposed event-triggered control strategies.