Quantized robust ℋ∞ control of discrete-time systems with random communication delays

The paper considers stability and robust H_∞ controller design for discrete-time systems with random communication delays and state quantization. Communication delays between sensors and controllers are modeled by a finite state Markov process. Measurements are assuming to be quantized by a logarithmic quantizer, and the effect of quantization errors are incorporated into the controller design. Based on a Lyapunov-Krasovskii approach, novel methodologies for analyzing stability and designing a time-delay mode-dependent quantized state feedback controller are proposed. The controller is obtained through solving bilinear matrix inequalities (BMIs) using the cone complementarity linearization algorithm.