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中文摘要：
研究混合H-/H∞框架下,切换系统的异步故障检测滤波器的设计问题.使用H-性能指标和加权H∞性能指标表示残差对于故障的敏感性以及对于扰动的鲁棒性.首先,利用多Lyapunov函数方法和平均驻留时间技术,得到初步的异步切换滤波器设计条件;然后,使用松弛变量的方法解除Lyapunov矩阵和系统矩阵的耦合,得到进一步的设计结果,并将其表示为线性矩阵不等式形式;最后,通过仿真例子验证了所提出方法的有效性.
英文摘要：
The problem of asynchronous robust fault detection filter design for the switched systems is considered in the framework of mixed H-/H∞. H-performance represents the sensitivity index of residual to fault, and weighted H∞ performance is the robustness indicator of residual to disturbance. First of all, multiple Lyapunov functions and average dwell time approach are used for deriving the preliminary conditions of asynchronous filter design. Then the couple between the Lyapunov matrix and the system matrix is removed by the the slack variables, and further results are obtained. All of results are in the form of the linear matrix inequality. Finally, a simulation example is given to illustrate the effectiveness of the proposed method.
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