Improved Results on H_∞, Performance for Semi-Markovian Jump LPV Systems Under Actuator Saturation and Faults

This paper is concerned with the transformed parameter-dependent H_∞ controller design for semi-Markovian jump linear parameter varying (S-MJLPV) systems under actuator saturation and faults. In the S-MJLPV system, the semi-Markov process transition rate is time-varying during the semi-Markov process and a plant includes time-varying parameters which are bounded and measurable in magnitude. For more practical analysis and synthesis of the S-MJLPV systems, a time-varying actuator fault model and actuator saturation of the controller are considered into account simultaneously. The primary goal of this paper is to develop a transformed parameter-dependent control that makes the closed-loop system stochastically stable with H_∞ performance index γ and provides less conservative results against actuator saturation and faults. Based on the mode-dependent Lyapunov function, new sufficient conditions are obtained to ensure that the stochastic stability of S-MJLPV systems. Eventually, an example based on the turbofan-engine model is presented to demonstrate the efficacy of our proposed methods.