Title :
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.
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;
Conference_Titel :
Computer Aided Control Systems Design, 2004 IEEE International Symposium on
Conference_Location :
Taipei
Print_ISBN :
0-7803-8636-1
DOI :
10.1109/CACSD.2004.1393882
