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研究一类线性Markov跳跃区间时滞系统的鲁棒H∞故障检测滤波器设计问题.采用基于自适应观测器的故障检测滤波器作为残差产生器,将鲁棒H∞故障检测滤波器设计问题归结为随机H∞滤波问题.应用Lyapunov-Krasovskii方法,通过引入松弛矩阵推导证明了问题可解的时滞依赖充分条件,并进一步通过求解线性矩阵不等式给出了故障检测滤波器参数矩阵的解.仿真算例验证了所提出方法的有效性.
The problem of robust H ∞ fault detection filter for a class of linear Markov jump interval systems with time-delay is investigated. Fault detection filter based on adaptive observer is used as the residual generator. The robust H ∞ fault detection filter design problem The Lyapunov-Krasovskii method is introduced, and the sufficient conditions for the problem-dependent delay-dependent problem are proved by the introduction of relaxation matrix. Furthermore, the solution to the fault detection filter parameter matrix is given by solving the linear matrix inequality. Simulation results show the effectiveness of the proposed method.