Robust nonlinear ship course‐keeping control by <i>H</i>_∞ I/O linearization and <i>μ</i>‐synthesis

Abstract

Abstract In this paper, the H ∞ input/output (I/O) linearization formulation is applied to design an inner‐loop nonlinear controller for a nonlinear ship course‐keeping control problem. Due to the ship motion dynamics are non‐minimum phase, it is impossible to use the ordinary feedback I/O linearization to resolve. Hence, the technique of H ∞ I/O linearization is proposed to obtain a nonlinear H ∞ controller such that the compensated nonlinear system approximates the linear reference model in I/O behaviour. Then a μ ‐synthesis method is employed to design an outer‐loop robust controller to address tracking, regulation, and robustness issues. The time responses of the tracking signals for the closed‐loop system reveal that the overall robust nonlinear controller is able to provide robust stability and robust performance for the plant uncertainties and state measurement errors. Copyright © 2002 John Wiley &amp; Sons, Ltd.