非线性切换系统的鲁棒有限时间有界性与L2增益分析

Robust Finite-time Boundedness and L2-gain Analysis of Nonlinear Switched Systems

  • 摘要: 讨论了一类具有参数不确定的非线性切换系统的鲁棒有限时间有界性和L2增益问题.借助平均驻留时间方法,详细研究了给定扰动输入下的鲁棒有限时间有界性问题,给出了易于计算机求解的线性矩阵不等式(LMIs)约束判据.进一步应用所得的有限时间有界性结论,探究系统的L2增益分析,将所有条件简化为包含线性矩阵不等式形式的可解问题,最后通过数值算例验证了文中所提方法的有效性.

     

    Abstract: Robust finite-time boundedness and L2-gain analysis of a class of nonlinear switched systems with parameter uncertainties are discussed. Firstly, based on average dwell-time approach, robust finite-time boundedness theorem is presented under two classes of disturbance inputs and the corresponding linear matrix inequalities (LMIs) criteria is established. The results of robust finite-time boundedness is then applied to explore the L2-gain problem, reducing all the proposed conditions into feasibility problems involving LMIs. Finally, the effectiveness of the proposed method is verified by testing an example.

     

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