Improved Reduced-Order Fault Detection Filter Design for Polytopic Uncertain Discrete-Time Markovian Jump Systems with Time-Varying Delays

摘要: The fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain discrete-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the control precision requirements complex systems, filter can improve efficiency detection. Then, by aid Lyapunov function and convex polyhedron techniques, some novel delays sufficient conditions in terms matrix inequality (LMI) are proposed to insure existence FD filter. Finally, an illustrative example provided verify usefulness given method.