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

Faiz Rasool and Sing Kiong Nguang

International Journal of Systems Science, 2011, vol. 42, issue 1, 129-138

Abstract: The article considers stability and robust ℋ∞ controller design of discrete-time systems with random communication delays and state quantization. A finite state Markov process is used to model communication delays between sensors and controllers. Measurements are assumed 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 analysing 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 linearisation algorithm.

Date: 2011
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DOI: 10.1080/00207720903470171

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