Probability-dependent gain-scheduled control for discrete-time stochastic systems with randomly occurring sensor saturations

Abstract

This paper is devoted to tackling the control problem for a class of discrete-time stochastic systems with randomly occurring sensor saturations by utilizing gain-scheduled method, the sensor saturation phenomenon is assumed to occur in a randomly way based on time-varying Bernoulli distribution with measurable probability in real time. The aim of the paper is to design a gain-scheduled controller with probability-dependent gain which can be achieved by solving a convex optimization problem via semi-definite programme method. Subsequently, a new kind functional, probability-dependent Lyapunov functional is proposed to make the theory sound. Finally, an illustration example will demonstrate the effectiveness of the procedures we design.