Robust Actuator and Sensor Faults Reconstruction Based on New Sliding Mode Observer for a Class of Output Time-Delay Systems

Abstract

ABSTRACTIn this paper, we present a new robust sliding mode observer (SMO) design method for a class of uncertain time-delay systems. The uncertainty is unknown and bounded, and the time-delay is also bounded and affects the output of the system. To ensure the stability of the estimation error, sufficient conditions are derived using linear matrix inequality optimization and a Lyapunov–Krasovskii functional. Using the designed SMO and the concept, a robust actuator and sensor faults reconstruction are obtained. To illustrate the validity and the applicability of the proposed approaches, a numerical example is given.