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SAGE Publications, Transactions of the Institute of Measurement and Control, 2(43), p. 390-399, 2020

DOI: 10.1177/0142331220957750

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Robust H∞ control for nonlinear course system of unmanned surface vessel with polytopic uncertainty based on sum of squares

Journal article published in 2020 by Yanwei Huang, Zhenyi Liu, Wenchao Huang ORCID, Shaobin Chen
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

In this paper, the nonlinear robust [Formula: see text] control is investigated for nonlinear course control systems of unmanned surface vessel (USV) with uncertain parameters and external disturbance. Firstly, we suppose that the part or all of the system parameters are unknown but within some ranges, due to the effect of different conditions such as the loading of ship. Then, the course system is modeled as a polynomial one with time invariant polytopic uncertainty. With the aid of parameter dependent Lyapunov function method and positive polynomial theory, the sufficient conditions are given for stability and stabilization with [Formula: see text] performance. These conditions are formulated in terms of parameter-dependent nonlinear matrix inequalities which can be verified by semidefinite programming relaxations based on the sum of squares technique. Finally, simulation results show the effectiveness of the approach.