H ∞ Robust Control for Singular Networked Control Systems with Uncertain Time-Delay

The problem of H∞ robust control for singular networked control systems that are regular and impulse-free is studied. Under the hypotheses that the uncertain time-varying delay is less than one sampling period, the sensor is clock-driven, and controller and actuator are event-driven, the sufficient condition for the closed-loop singular networked control systems satisfying the asymptotic stability and H∞ performance is derived through Lyapunov theory and linear matrix inequality and a corresponding design method is also presented. Finally, a simulation example is given to illustrate the the effectiveness of the proposed method.