Simultaneous Stabilization and Robust Control for Polynomial Nonlinear Systems Using SOS
Jun Xu, Lihua Xie, Youyi Wang · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · 2007
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 Hinfinperformance 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.