Reduced-Order Partially Mode-Dependent Energy-to-Peak Filter Design for Discrete-Time Markov Jump Systems Subject to Quantizer Faults and State-Dependent Noises

摘要

This paper investigates the reduced-order energy-to-peak filter design problem of discrete-time Markov jump systems with partially unknown transition probabilities, random quantizer faults and state-dependent disturbances. Attention is focused on the design of a reduced-order partially mode-dependent filter to mitigate quantization effect and stochastic disturbance, and ensure a prescribed energy-to-peak noise attenuation level. Via using the partly mode-dependent Lyapunov function, sufficient conditions for the existence of the filter are expressed in terms of linear matrix inequalities. Finally, three numerical examples are provided to demonstrate the effectiveness of the proposed approach.