Dissipative control for networked nonlinear system with random delay

This paper focuses on problem of quadratic dissipative control for networked nonlinear system with random delay. The T-S discrete fuzzy model system is adopted for modeling the nonlinear system. The dynamic output feedback controller is to be designed. Random delays from the sensor to the controller and from the controller to the actuator are simultaneously considered. And the random delays are described by a binary switching sequence satisfying a Bernoulli distribution. Sufficient conditions for existence of a dynamic output feedback fuzzy controller, such that the closed-loop system is exponentially mean-square stable and strict quadratic dissipative, is present via matrix inequality method. The iterative algorithm is provided to solve the matrix inequalities by using SLPMM (sequentially linear programming matrix method). Finally, a numerical example is given to show the validity and feasibility of the proposed approach.