Fault-tolerant H∞ filter designs of linear systems with unparametrizable bias-sensor faults

This paper presents a novel fault-tolerant H∞ filter design method for linear time-invariant systems with norm-bounded time-varying unparametrizable bias-sensor faults. Through Lyapunov method and linear matrix inequalities (LMIs) technique, the H∞ performance of systems is optimized by the designed stabilizing filtering parameters. A filter parameter function is proposed to eliminate the effects of the bias-sensor faults. Then based on the LMI result and the parameter function, a novel fault-tolerant H∞ filter is constructed to ensure the stability of estimation errors in the presence of sensor faults. A numerical example and its simulation results are given to support the theoretical findings.