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Quantized H∞ Control for a Class of 2-D Systems with Missing Measurements

Xuhui Bu*, Jiaqi Liang, Zhongsheng Hou, and Junqi Yang
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.706-715, 2017

Abstract : "In this paper, the problem of quantized H¥ control is investigated for a class of 2-D systems described by Roesser model with missing measurements. The measurement missing of system state is described by a sequence of random variables obeying the Bernoulli distribution. Meanwhile, the state measurements are quantized by logarithmic quantizer before being communicated. By introducing a new 2-D Lyapunov-like function, a sufficient condition is derived to guarantee stochastically stable and H¥ performance of the closed-loop 2-D system, where the method of sector-bounded uncertainties is utilized to deal with quantization error. Based on the condition, the quantized H¥ control can be designed by using linear matrix inequality technique. A simulation example is also given to illustrate the proposed method."

Keyword : H∞ performance, missing measurements, networked control systems, quantized control, 2-D systems.

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