H∞ control for linear system over networks with Bernoulli data dropout and actuator saturation

This paper investigates the H_∞ control problem for linear system over networks with random communication data dropout and actuator saturation. The random data dropout process is modeled by a Bernoulli random binary distribution and the input saturation is confined in a convex hull by introducing a group of auxiliary matrices. By constructing a quadratic Lyapunov function, effective conditions for the state feedback-based H_∞ controller are proposed in the form of non-convex matrix inequalities to take the random data dropout and actuator saturation into consideration simultaneously, and the problem of non-convex feasibility is solved by applying cone complementarity linearization (CCL) procedure. Finally, a simulation example is given to demonstrate the effectiveness of the proposed new design techniques.