Reliable H∞ control for an uncertain nonlinear discrete-time system with multiple intermittent sensor faults

Abstract

This paper focuses on the passive fault-tolerant control problem for a class of uncertain nonlinear discrete-time systems subject to multiple intermittent faults. The multiple intermittent faults considered occur on the actual measurement signals in the form of additive faults. To achieve the aim of fault-tolerant control, a dynamic output-feedback controller is designed such that, in the simultaneous presence of parameter uncertainty, a given type of nonlinearity, and multiple additive intermittent sensor faults, the closed-loop system remains stable and guarantees acceptable performance. The linear matrix inequality technique is used to obtain sufficient conditions to derive the controller and ensure that the prescribed H∞ index is satisfied. Finally, the effectiveness of the proposed method is demonstrated though a numerical simulation example.