DocumentCode :
3129987
Title :
Local Stability Analysis of Saturating Systems via Polynomial Programming
Author :
Sugie, Toshiharu ; Ueda, Katsuki
Author_Institution :
Department of Systems Science, Graduate School of Informatics, Kyoto University, Uji, Kyoto 611-0011, Japan. Email: sugie@i.kyoto-u.ac.jp, Phone: +81-774-38-3950, Fax: +81-774-38-3945
fYear :
2005
fDate :
12-15 Dec. 2005
Firstpage :
8118
Lastpage :
8123
Abstract :
This paper considers the local stability analysis of feedback systems with saturation nonlinearities. First, considering the detailed structure of the saturation nonlinearity, we derive a local stability condition with the aid of S-Procedure of polynomial with higher degrees of freedom. Then, we obtain a Lyapunov function using Sum of Squares decomposition. Furthermore, it is shown that this method can be easily extended to the case where piecewise quadratic Lyapunov functions are adopted. Finally we demonstrate its effectiveness through numerical examples.
Keywords :
Closed loop systems; Control system synthesis; Degradation; Feedback; Informatics; Linear matrix inequalities; Lyapunov method; Polynomials; Stability analysis; Windup;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
Type :
conf
DOI :
10.1109/CDC.2005.1583476
Filename :
1583476
Link To Document :
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