Observer-based gain-scheduled controller design of uncertain ship autopilot stochastic system

Abstract

The aim of this paper is to propose observer-based control methods for continuous-time uncertain ship autopilot stochastic system. In order to characterize uncertainty and stochastic behavior, Linear Parameter Varying (LPV) modeling approach and multiplicative noise term are applied to represent the considered system. And, Gain-Scheduled (GS) control technique is applied to deal with stabilization problem of the system. For analyzing stability and stabilization problem, some sufficient conditions are derived into Linear Matrix Inequality (LMI) from that can be directly solved by convex optimization algorithm. Finally, the simulation is provided to ensure the applicability of the proposed method.