This paper considers robust H_∞ control of impulsive switched systems with time-varying uncertainties and nonlinear impulsive increments. The impulses are not required to synchronize the switching. Instead, the impulse sequences follow an average impulsive interval assumption, in which the restriction on common lower (or upper) bound of two consecutive impulses is dropped. By using the multiple Lyapunov function and average dwell time method, even with high impulse frequency, the robust H_∞ control performance can still be guaranteed under some sufficient conditions. Finally, the efficiency of the proposed results is demonstrated by a numerical example.

中文翻译：

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不确定脉冲切换系统的鲁棒 H∞ 控制

本文考虑了具有时变不确定性和非线性脉冲增量的脉冲切换系统的鲁棒H _∞控制。脉冲不需要同步切换。相反，脉冲序列遵循平均脉冲间隔假设，其中对两个连续脉冲的公共下限（或上限）的限制被删除。通过使用多重李雅普诺夫函数和平均驻留时间方法，即使在高脉冲频率下，在一些充分条件下仍然可以保证_{鲁棒的H∞}控制性能。最后，通过一个数值例子证明了所提出结果的有效性。