ABSTRACT
This chapter is concerned with the static output feedback control problem for two-dimensional (2-D) uncertain stochastic nonlinear systems. The systems under consideration are subjected to time-delays, multiplicative noises, and randomly occurring missing measurements. A random variable sequence following the Bernoulli distribution with time-varying probability is employed to characterize the missing measurements that are assumed to occur in a random way. The gain-scheduled method based on the time-varying probability parameter is proposed to accomplish the design task. By constructing a suitable Lyapunov functional, sufficient conditions to guarantee the systems to be mean-square asymptotically stable are established. The addressed 2-D controller design problem can be reduced to a convex optimization problem by some mathematical techniques. The parameters of the proposed gain-scheduled controller have been obtained via linear matrix inequality Control Toolbox. With the proposed controller, the 2-D uncertain stochastic nonlinear systems can be stabilized effectively.
