An improved LMI-based D-stability condition for polytopic uncertain systems

Author

Liu, Yung-Sheng ; Fang, Chun-Hsiung ; Kau, Shih-Wei ; Hong, Lin

Author_Institution

Dept. of Electr. Eng., Nat. Kaohsiung Univ. of Appl. Sci.

fYear

2004

fDate

4-4 Sept. 2004

Firstpage

237

Lastpage

242

Abstract

A less conservative condition for robust D-stability of linear systems with polytopic uncertainties is proposed. The robust D-stability can be easily attested by means of a feasibility test of a set of linear matrix inequalities (LMIs) involving only the vertices of the polytope. It is shown that the proposed condition include a lot of conditions published recently as particular cases. To the best of authors´ knowledge, the present result is the least conservative in comparison with other conditions currently available in the field of robust D-stability analysis for polytopic uncertain systems

Keywords

Lyapunov matrix equations; computational geometry; control system analysis; linear matrix inequalities; linear systems; robust control; uncertain systems; LMI based D-stability condition; Lyapunov matrix equations; control system analysis; linear matrix inequalities; linear systems; polytopic uncertain systems; robust D-stability analysis; Linear matrix inequalities; Linear systems; Lyapunov method; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Aided Control Systems Design, 2004 IEEE International Symposium on

Conference_Location

Taipei

Print_ISBN

0-7803-8636-1

Type

conf

DOI

10.1109/CACSD.2004.1393882

Filename

1393882