非线性扰动离散广义时滞系统的鲁棒H∞控制

Abstract

Abstract: This paper discusses the robust H-infinity control problem and robust H-infinity guaranteed cost control problem for discrete-time singular systems with time-delay and nonlinear perturbation,which satisfies Lipschitz condition.The aims are to design a robust H-infinity controller and a robust H-infinity guaranteed cost controller,respectively.By means of the linear matrix inequality approach(LMI),sufficient conditions for existence of robust H-infinity controller and robust H-infinity guaranteed cost controller are presented,respectively.When these LMIs are feasible,the explicit expressions of robust H-infinity controller and robust H-infinity guaranteed cost controller are obtained,respectively.Finally,a numerical example is provided to demonstrate the application of the proposed method.

CLC Number:

TP273

WO Song-lin, SHI Guo-dong, ZOU Yun. Robust H-infinity control for discrete-time singular systems with time-delay and nonlinear perturbation[J]. Journal of Systems Engineering and Electronics, 2009, 31(4): 916-921.

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Robust H-infinity control for discrete-time singular systems with time-delay and nonlinear perturbation

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