Proceedings of the Annual Conference of the Institute of Systems, Control and Information Engineers
The 49th Annual Conference of the Institute of Systems, Control and Information Engineers
Session ID : 2C2-5
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Local Stability Analysis of Saturation Systems via Polynomial Programming
*Katsuki UEDA, Toshiharu Sugie
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Keywords: Saturation, Sum of Squares, Lyapunov Function
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Abstract
This paper considers the local stability analysis of feedback systemswith input saturation. First, 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. Finally we demonstrate its effectiveness through numerical examples.
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© 2005 The Institute of Systems, Control and Information Engineers
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