Designing robust pole placement control for Roll Motions Of Ships via LMIs

This paper addresses the problem of robust pole placement control of nonlinear systems having multiple equilibrium points and low order dynamics (roll motion of ships) via a dynamic output feedback in which the controller has dynamic states. The design technique is described using linear matrix inequalities (LMIs).pole placement by using LMIs places the close loop poles in appropriate region to have the best response by considering a tradeoff between overshoot of the response, settling time and steady state error. The effectiveness of the proposed technique in control of roll motion of ships is illustrated by simulation results.