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Robust Finite-Time H_∞ Control for Impulsive Switched Nonlinear Systems with State Delay

机译:时滞脉冲切换非线性系统的鲁棒有限时间H_∞控制

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摘要

This paper investigates robust finite-time H_∞ control for a class of impulsive switched nonlinear systems with time-delay. Firstly, using piecewise Lyapunov function, sufficient conditions ensuring finite-time boundedness of the impulsive switched system are derived. Then, finite-time H_∞ performance analysis for impulsive switched systems is developed, and a robust finite-time H_∞ state feedback controller is proposed to guarantee that the resulting closed-loop system is finite-time bounded with H_∞ disturbance attenuation. All the results are given in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to show the effectiveness of the proposed method.
机译:研究了一类时滞脉冲切换非线性系统的鲁棒有限时间H_∞控制。首先,利用分段Lyapunov函数,推导了确保脉冲切换系统的有限时间有界性的充分条件。然后,针对脉冲切换系统进行了有限时间H_∞性能分析,提出了鲁棒的有限时间H_∞状态反馈控制器,以保证所产生的闭环系统具有H_∞扰动衰减的有限时间限制。所有结果均以线性矩阵不等式(LMI)给出。最后,提供了两个数值示例,说明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第10期|830154.1-830154.25|共25页
  • 作者单位

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;

    School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;

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