H∞ Control for Discrete Time Active Fault Tolerant Control Systems

Abstract

This paper focuses on the problem of H∞ state feedback controller design for discrete time active fault tolerant control systems, whose dynamics are functions of two random processes with markovian transition characteristics. Based on the positive definite solutions of a set of coupled algebraic Riccati-like equations, an H∞ state feedback controller is proposed such that the resulting closed-loop control system is exponentially stable in the mean square and guarantees an H∞-norm bound constraint on disturbance attenuation. An example is illustrated to show the applicability of the proposed approach.