Department of Applied Mathematics & Physics, Kyoto University
Technical Report 2002-001 (January 16, 2002)
Local stability analysis of saturating feedback system based on LPV descriptor representation
by Kiyotsugu Takaba
This paper considers the local stability and the quadratic performance of a feedback system with saturation nonlinearity.
By combining the linear parameter-varying technique and the descriptor system representation, we develop a new local stability condition that is not only numerically tractable but also less conservative than the circle criterion. We also derive a sufficient condition for the quadratic performance based on this local stability condition. A numerical example is included to show the effectiveness of the present stability condition.