Linear discrete-time modelling and hybrid fault-tolerant controller design for complex systems with component and sensor faults

Abstract

A linear discrete-time model with additive faults is constructed for the systems with component faults and sensor faults. A hybrid controller including the state feedback controller, the H∞ filter and the fault-tolerant controller with H∞ performance γ is designed in this paper. By using the Lyapunov function and linear matrix inequalities (LMIs) approach, the theorem solving the designed controller gains is derived. The effectiveness of the presented approaches is verified by using them to control the Vander Pol circuit system with the ageing fault of components. Simulation results show that the designed controller can suppress the influence caused by component and sensor faults and stabilise the systems under meeting H∞ index.