论文信息 - LMI condition for robust stability of linear systems with both time‐varying elemental and norm‐bounded uncertainties

LMI condition for robust stability of linear systems with both time‐varying elemental and norm‐bounded uncertainties

Abstract In this paper, the stability robustness of linear systems with both time‐varying elemental (structured) and norm‐bounded (unstructured) uncertainties is investigated. A sufficient condition is proposed in terms of linear matrix inequalities (LMIs) for ensuring that the linear systems with both time‐varying elemental and norm‐bounded uncertainties are asymptotically stable. Two examples are given to show that the proposed sufficient condition is less conservative than the existing one reported recently.

Liang-An Zheng | Jyh‐Horng Chou | Shinn‐Horng Chen

[1] Alan J. Laub,et al. The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[2] Panos J. Antsaklis,et al. Explicit asymmetric bounds for robust stability of continuous and discrete-time systems , 1993, IEEE Trans. Autom. Control..

[3] Dragoslav D. Šiljak,et al. A note on robust stability bounds , 1989 .

[4] E. Yaz. Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[5] Jyh-Horng Chou,et al. Stability Robustness Analysis of Linear Time-Variant Systems with Both Time-Varying Structured and Unstructured Perturbations , 2000 .

[6] Jyh-Horng Chou,et al. Robust Stabilization of Flexible Mechanical Systems Under Noise Uncertainties and Time-Varying Parameter Perturbations , 1998 .

[7] Kemin Zhou,et al. Robust stability of multivariable systems with both real parametric and norm bounded uncertainties , 1992 .

[8] Kazuo Tanaka,et al. Fuzzy control systems design and analysis , 2001 .

[9] G. Schreier,et al. Bounds of parameter uncertainties for robust stability of linear uncertain systems , 1998, Int. J. Syst. Sci..

[10] Lihua Xie,et al. Robust control of a class of uncertain nonlinear systems , 1992 .

[11] P. Khargonekar,et al. Stability robustness bounds for linear state-space models with structured uncertainty , 1987 .

[12] Chieh-Li Chen,et al. Robust Stability and Performance Analysis for the System with Linear Dependent Perturbations , 1997 .