Robust Stability Analysis of Uncertain Linear Systems with Input Saturation using Piecewise Lyapunov Functions1
نویسندگان
چکیده
In this paper, we consider the problem of finding the stability region in state space for uncertain linear systems with input saturation. For stability analysis, two Lyapunov functions are chosen. One is for the linear region and the other is for the saturated region. Piecewise Lyapunov functions are obtained by solving successive linear matrix inequalities(LMIs) relaxations. A sufficient condition for robust stability is derived in the form of stability region of initial conditions. A numerical example shows the effectiveness of the proposed method. c © 2005 IIC. All rights reserved.
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تاریخ انتشار 2005