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. The design problem of asynchronous fault detection filter in switching system under hybrid H_- / H_∞ framework is studied.The sensitivity of the residuals to faults and the robustness to disturbances are indicated by H_-performance index and weighted H_∞ performance index , The multi-Lyapunov function method and the average dwell time technique are used to get the design conditions of the initial asynchronous switch filter. Then, the relaxation variables are used to eliminate the coupling between the Lyapunov matrix and the system matrix, and further design results are obtained and expressed as Finally, the validity of the proposed method is verified through simulation examples.