Optimal Robust Non-Fragile H∞ Control for Networked Control Systems with Uncertain Time-Delays

This paper deals with the design problem of optimal robust non-fragile H-infinity state feedback controller for networked control systems (NCSs) with uncertain time-delays and controller gain perturbations. First, a new method is presented, according to which the NCS with uncertain time-delays in one sampling period is transformed into a discrete linear system with uncertain parameters. Second, considering the controller gain perturbations, with the linear matrix inequality (LMI) technique, we design a robust non-fragile state feedback controller for the system without external disturbance. Third, considering the system with external disturbance, a suboptimal and an optimal robust non-fragile H-infinity state feedback controllers are designed. At last, numerical instances illustrate the effectiveness of the proposed method.