Variable Structure Control for Uncertain System with Partial Actuator Faults

This paper is devoted to the variable structure control problems for a class of the uncertain systems with partial actuator faults. The actuator mode takes a more general form of actuator faults, which covers the non-faulty case and the partial degradation case. Firstly, the considered system is made equivalent transformation to design a simple sliding surface, which can ensure the behavior of system in the sliding mode exhibit desired performance. Secondly, it is concentrating on optimizing the bounds of unmatched nonlinearity and designed gains to obtain the minimization. The function mincx is utilized to solve the convex problem and guarantee the quadratic stability of the sliding motion. In the process of deriving theoretical results, some good techniques are developed for the less conservative. Thirdly, the variable structure control with partial actuator faults is designed for the considered system to derive the state to the sliding surface and guarantee to maintain a sliding motion on it thereafter. Finally, based on of a numerical example, it is illustrated that the proposed variable structure control with partial actuator faults is effective.