ROBUST FAULT DETECTION FOR SINGULAR SYSTEMS WITH MARKOV JUMP PARAMETERS
具有Markov跳变参数的广义系统鲁棒故障检测

The fault detection filter is designed by robust control theory for a class of uncertain singular time-delay system with Markov jump parameters. By using the constructed stochastic Lyapunov-Krasovskii functional and linear matrix inequalities techniques, a sufficient condition is provided to solve the design of fault detection filter, and the design problem is described as an optimal one. Simultaneously, the residual error is selected separately to reflect the restraint of disturbance and the sensitivity of faults. The presented fault detection filter makes the systems have stochastically stability and better ability of restraining disturbances, and satisfies the given norm index. Simulation examples illustrate the results. As the fault signals happen, the proposed filter can detect them sensitively, and the influence of unknown disturbance on residual error can be restrained effectively to a given range.