Stabilization of the Networked Hybrid Systems with Communication Constraints and Its Applications

In this paper, a stabilization problem is investigated for a class of networked control systems with some communication constraints. A class of networked hybrid control systems are first established using the hybrid system approach, in which logarithmic quantization, scheduling protocols and synchronously varying transmission intervals are considered. Then, by designing an appropriate controller and a corresponding Lyapunov function, a sufficient condition is presented to ensure the stabilization of the established systems. The sufficient condition estimates the bounds of the maximally allowable transmission interval and the coarsest quantization density. Moreover, the obtained results are applied to the DC motor system. Finally, numerical simulations are given to illustrate the effectiveness of the proposed method.