Observer-based robust control of uncertain stochastic ship autopilot system: Robust control of ship autopilot system

The aim of this paper is to provide an observer-based control method for uncertain ship autopilot stochastic system. In order to generally discuss control problem in real environment, multiplicative noise is used to describe stochastic behaviors in Linear Parameter Varying (LPV) system. Also, Gain-Scheduled (GS) control technique is applied to deal with observer-based stabilization problem of LPV system. Besides, a novel Lyapunov function with full element in positive definite matrix is applied to derive some sufficient conditions. Then, via an extended Projection lemma, a Linear Matrix Inequality (LMI) form which can directly be calculated by convex optimization algorithm is successfully obtained from those conditions. Finally, a simulation is provided to show the applicability of the proposed method.