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H∞ Controller Design for Networked Control Systems with Quantization

In this paper, the quantized state feedback H∞ stabilization problem of networked control system (NCS) with timevarying delay is addressed. The signals are quantized by logarithmic quantizer. A novel Lyapunov-Krasovskii function is proposed, in which the sector property of the quantization nonlinearity is fully utilized. In order to analyze the asymptotical stability of NCS, the decomposition method of variable time delay is introduced. The developed criteria are characterized by linear matrix inequalities (LMIs), which can be used to optimize the allowable upper bounds of time delays. The relationship between network and controller parameters is established. Numerical examples are given to demonstrate the effectiveness of our results.