Robust stabilization of nonlinear uncertain systems by dynamic output feedback

This paper proposes a constructive way to design dynamic output feedback control law to stabilize a class of nonlinear systems with unknown control coefficients. The unknown parameters are described in polytopic forms, and control parameter matrices of the dynamic controller are obtained by solving series of linear matrix inequalities in sequence. It is shown that the robust asymptotic stability of closed-loop system can be guaranteed by the proposed method. Finally, a numerical example illustrates the effectiveness of the proposed algorithm. © 2011.