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

PostScript File

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.