引用本文: | 蔡旭,楼旭阳,崔宝同.输入饱和下非线性系统的事件触发控制器设计[J].控制理论与应用,2022,39(4):613~622.[点击复制] |
CAI Xu,LOU Xu-yang,CUI Bao-tong.Event-triggered controller design for nonlinear systems with input saturation[J].Control Theory and Technology,2022,39(4):613~622.[点击复制] |
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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 3368 全文点击 919 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. |
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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. |
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