Gain-scheduled control for 2D stochastic time-delay systems with missing measurement

This note is concerned with the design problem of a static output feedback controller for two-dimensional system. The system under consideration is subject to both multiplicative noises and randomly occurring missing measurement. A random variable sequence following the Bernoulli distribution with time-varying probability is employed to character the missing measurement phenomenon. A new gain-scheduling 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 2D controller design problem can be reduced to a convex optimization problem by some mathematical techniques. A finite number of LMIs are established, from which the desired controller parameters can be derived. A numerical example is provided to illustrate the efficiency of our proposed design approach.