Simultaneous Stabilization and Robust Control for Polynomial Nonlinear Systems Using SOS

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Jun Xu, Lihua Xie, Youyi Wang

Published: 2007, Last Modified: 15 Nov 2024ACC 2007EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: In this paper, we discuss the simultaneous stabilization and robust control for a class of polynomial systems. By employing state-dependent polynomial Lyapunov functions, sufficient conditions for stabilization with and without H infin performance are presented. These conditions can be verified by the recently developed technique named as sum of squares (SOS), which essentially is an LMI feasibility problem.