马超, 张显库, 杨光平. 基于Lyapunov稳定性的船舶航向保持控制器非线性反馈改进[J]. 中国舰船研究, 2019, 14(1): 150-155, 161. DOI: 10.19693/j.issn.1673-3185.01111
引用本文: 马超, 张显库, 杨光平. 基于Lyapunov稳定性的船舶航向保持控制器非线性反馈改进[J]. 中国舰船研究, 2019, 14(1): 150-155, 161. DOI: 10.19693/j.issn.1673-3185.01111
Ma Chao, Zhang Xianku, Yang Guangping. Improved nonlinear control for ship course-keeping based on Lyapunov stability[J]. Chinese Journal of Ship Research, 2019, 14(1): 150-155, 161. DOI: 10.19693/j.issn.1673-3185.01111
Citation: Ma Chao, Zhang Xianku, Yang Guangping. Improved nonlinear control for ship course-keeping based on Lyapunov stability[J]. Chinese Journal of Ship Research, 2019, 14(1): 150-155, 161. DOI: 10.19693/j.issn.1673-3185.01111

基于Lyapunov稳定性的船舶航向保持控制器非线性反馈改进

Improved nonlinear control for ship course-keeping based on Lyapunov stability

  • 摘要:
      目的  船舶航向保持是船舶自动导航的核心,其实现离不开非线性控制算法的设计。为了简化控制器的设计过程,提高系统鲁棒性,节省控制器的能量输出,提出一种基于Lyapunov函数改进的具有非线性反馈的控制器。
      方法  首先,通过构建Lyapunov函数,简化控制器设计过程,避免非线性控制律对消系统的非线性项;然后,用指数函数处理后的航向误差代替航向误差本身的非线性反馈项,优化控制系统设计,减少能耗;最后,以实际船舶“育鹏”轮为例进行系统仿真。
      结果  结果显示,采用上述方法设计的控制器控制效果良好,更加节能,且系统具有鲁棒性。
      结论  研究表明,非线性反馈项的引入可以优化控制系统,其能节能的优点在实际工程应用中具有重要意义。

     

    Abstract:
      Objectives  Course-keeping for ships is the core of automatic navigation in marine transportation, and it cannot be achieved without the design of the nonlinear controller. In order to simplify the design process, improve the robustness of the system and save the energy output of the controller, this paper proposes a nonlinear feedback controller based on the Lyapunov function.
      Methods  By constructing a simplified Lyapunov function, the design process of the nonlinear controller is shortened and the cancellation of the nonlinear term of the control law avoided. The design of the control system can be optimized by replacing the course error with a nonlinear function of itself in the feedback loop. This optimization reduces energy consumption and improves the robustness of the system.
      Results  Taking the ship 'Yu Peng' as an example, the simulation results show that the improved nonlinear control algorithm possesses good performance and robustness, and reduces energy consumption.
      Conclusions  The results of this paper show that the introduction of a nonlinear feedback term can optimize the control system, and the energy saving advantages of such a measure are of great significance for practical engineering application.

     

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