Controller design and stabilization and for a class of bilinear system

Abstract

This study presents a bilinear control scheme for a class of bilinear system. A controller is proposed to globally stabilize the bilinear system. Then, the stabilization condition is derived to guarantee the stabilizability of the control system in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the feasibility and effectiveness of the proposed control scheme. © 2010 Asian Network for Scientific Information.