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Published on: November 26, 2019
Anti-disturbance formation containment control for multiple autonomous underwater vehicles with nonuniform
Yunfei Cui1, Jian Xu2, Liangang Yin2
1College of Mathematics and Statistics, Hainan Normal University, Haikou, 571158, China.
Abstract:
This article proposes a novel control strategy with strong anti-interference ability for the issue of formation containment control (FCC) in multiple autonomous underwater vehicle systems (MAUVS) with nonuniform time-varying communication delays (NTCD) and external disturbances. The main innovation lies in the design of a distributed control framework that integrates extended state observers (ESO) and customized tracking differentiators (TD), achieving FCC of MAUVS under the simultaneous action of NTCD and composite disturbances (consisting of external disturbances and nonlinear dynamics). Firstly, constructing ESO to estimate and compensate for the total disturbance in real time, combined with TD to hinder the occurrence of differential explosion caused by the designed virtual controllers' derivative, the robustness of the system is further improved. Then, based on the Lyapunov-Krasovskii functional analysis and the linear matrix inequality method, the sufficient conditions are obtained to ensure that the formation tracking error and containment error share the property of being uniformly ultimately bounded. In the end, a numerical simulation example is carried out to demonstrate the feasibility of the proposed theoretical results.
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