Abstract

This paper presents a nonlinear state feedback stabilizer using linear matrix inequalities (LMIs) for a class of uncertain nonlinear systems with Lipschitz nonlinearities. The proposed controller improves the transient performance and steady state accuracy simultaneously. To improve the stabilization performance, a nonlinear function is included in the control law and is optimally tuned using a modified random search (MRS) algorithm. Simulation results are presented to show the effectiveness of the offered method.