Title :
Simultaneous Stabilization and Robust Control of Polynomial Nonlinear Systems Using SOS Techniques
Author :
Xu, Jun ; Xie, Lihua ; Wang, Youyi
Abstract :
This technical note is concerned with the simultaneous stabilization and robust performance control for a class of polynomial nonlinear systems. Building on the tenets of state-dependent polynomial Lyapunov functions, we present sufficient conditions for simultaneous stabilization with and without Hinfin performance. These conditions can be verified by the recently developed sum of squares technique which essentially solves a linear matrix inequality feasibility problem.
Keywords :
Hinfin control; Lyapunov methods; linear matrix inequalities; nonlinear control systems; polynomials; robust control; Hinfin control; SOS technique; linear matrix inequality; polynomial nonlinear system; robust control; stabilization; state-dependent polynomial Lyapunov function; sum-of-square technique; Control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear control systems; Nonlinear systems; Polynomials; Robust control; Robustness; Sufficient conditions; Nonlinear control; polynomial nonlinear systems; simultaneous stabilization; sum of squares (SOS);
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2022108
