학술논문

Quantized H∞ Control for a Class of 2-D Systems with Missing Measurements
Document Type
Article
Source
(2022): 706-715.
Subject
Language
Korean
ISSN
15986446
Abstract
In this paper, the problem of quantized H¥ control is investigated for a class of 2-D systems described byRoesser model with missing measurements. The measurement missing of system state is described by a sequenceof random variables obeying the Bernoulli distribution. Meanwhile, the state measurements are quantized by logarithmicquantizer before being communicated. By introducing a new 2-D Lyapunov-like function, a sufficientcondition is derived to guarantee stochastically stable and H¥ performance of the closed-loop 2-D system, wherethe method of sector-bounded uncertainties is utilized to deal with quantization error. Based on the condition, thequantized H¥ control can be designed by using linear matrix inequality technique. A simulation example is alsogiven to illustrate the proposed method.
In this paper, the problem of quantized H¥ control is investigated for a class of 2-D systems described byRoesser model with missing measurements. The measurement missing of system state is described by a sequenceof random variables obeying the Bernoulli distribution. Meanwhile, the state measurements are quantized by logarithmicquantizer before being communicated. By introducing a new 2-D Lyapunov-like function, a sufficientcondition is derived to guarantee stochastically stable and H¥ performance of the closed-loop 2-D system, wherethe method of sector-bounded uncertainties is utilized to deal with quantization error. Based on the condition, thequantized H¥ control can be designed by using linear matrix inequality technique. A simulation example is alsogiven to illustrate the proposed method.