Resilient extended dissipative control for Markovian jump systems with partially known transition probabilities under actuator saturation

Abstract

This paper deals with the result of non-fragile extended dissipative control for Markovian jump systems (MJSs) with respect to partially known transition probabilities and randomly occurring uncertainties under actuator saturation, where the randomly occurring phenomenon is designed by stochastic variables satisfying the Bernoulli distribution. The main idea of this paper is to construct a non-fragile controller such that the concerned system is stochastically stable and extended dissipative performance index γ subject to actuator saturation and randomly occurring uncertainties. Based on the constructed Lyapunov–Krasovskii functional (LKF) and scaled small gain (SSG) condition together with some convexification techniques, the stability analysis and state feedback non-fragile controller synthesis conditions are constructed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are presented to demonstrate the applicability of the designed control technique.