New method for wireless network control systems with uncertain input delay

In this paper, wireless network control system with input delay is studied. The system is described as a discrete system of exponential uncertainty after discretization. By using Taylor series approximation and convex polytope technique, the discrete-time linear system is transformed into an equivalent polytopic model with additive norm bounded uncertainty. For such equivalent model, we design its state feedback controllers and observers so that whole model is asymptotical stabilization based on Lyapunov and LMI approach. Finally, a numerical example is given to prove the validity of the method.