l2-l∞ output feedback control for a class of networked system with random delay

This paper investigates the problem of output feedback l₂-l_∞ control for networked system with random delays. The sensor-to-controller and controller-to-actuator delays are simultaneously considered due to limited bandwidth communication. The random delays are described by a binary switching sequence satisfying a Bernoulli distribution. The purpose is the design of a dynamic output feedback controller which ensures the exponentially mean-square stability of the closed-loop system and guarantees an l₂-l_∞ norm bound constraint on disturbance attenuation. Via matrix inequalities a sufficient condition for solvability of this problem is presented. The sequentially linear programming method (SLPMM) is applied to solve the matrix inequalities. A numerical example is provided to demonstrate the validity of the proposed design approach.