Robust H∞ control of network control system with random time-delay

The design approach of robust _Hinfin controller for network control system (NCS) with random time-delay is studied in this paper. The model problem is discussed firstly. With time-driven sensor and event-driven controller and actuator, supposing that the time-delay is less than one sampling period, the NCS is modeled as an uncertain discrete linear system with delay, based on the Lyapunov functional approach and linear matrix inequality (LMI) formulation; sufficient condition of asymptotic stability and _Hinfin norm less than performance index gamma is derived. And _Hinfin control law design methods for dynamical output feedback are presented. A numerical simulation example with Matlab shows that the design method is effective.