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

Jyh‐Horng Chou Department of Mechanical and Automation Engineering, National Kaohsiung First University of Science and Technology, Kaohsiung, Taiwan 824, R.O.C. Phone: 886–7–6011000 ext 2201 Fax: 886–7–6011000 ext 2201 E-mail: [email protected]

Shinn‐Horng Chen Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 807, R.O.C.

Liang‐An Zheng Department of Mechanical Engineering, National Kaohsiung University of Applied Sciences, Kaohsiung, Taiwan 807, R.O.C.

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.

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Corresponding author. (Tel: 886–7–6011000 ext 2201; Fax: 886–7–6011066; Email: [email protected])

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

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

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