Finite Time Synchronized Formation Control of Unmanned Surface Vehicles With External Disturbances
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摘要: 针对有限时间控制中各状态分量收敛时间不同问题, 提出一种无人艇编队有限时间同步控制框架, 在此框架下设计的有限时间同步编队控制方法可巧妙地达到无人艇所有自由度编队误差在同一时刻收敛到平衡点. 首先, 针对现有干扰观测器与时间同步稳定框架不兼容问题, 设计有限时间同步干扰观测器; 然后, 利用比例保持特性设计有限时间同步编队控制器, 并验证了所提控制方法的稳定性; 最后, 通过3艘无人艇编队进行仿真实验, 实验结果验证了所提控制方法的有效性和优越性. 所提控制方法对有限时间同步控制需求的航海、航空航天和工业领域具有现实意义.Abstract: A finite time synchronization control framework for unmanned surface vehicles is proposed to address the issue of different convergence times of various states in finite time control. The finite time synchronization formation control method designed under this framework can cleverly achieve that all degrees of freedom errors of unmanned surface vehicles converge to an equilibrium point at the same time. Firstly, to address the issue of incompatibility between existing disturbance observers and time synchronization stabilization frameworks, a finite time synchronization disturbance observer is designed. Furthermore, utilizing the ratio persistence property, a finite time synchronous formation controller is designed, and the stability of the proposed control algorithm is demonstrated. Finally, simulation research was conducted on three unmanned surface vehicles, and the results verified the effectiveness and superiority of the proposed control algorithm. The control method proposed in this article has practical significance for the fields of navigation, aerospace, and industry that require time-synchronous control.
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图 1 北－东坐标系的无人艇编队运动曲线
Fig. 1 Unmanned surface vehicles＇ moving curve in the north-east frame
图 5 各无人艇位置和艏向角变化曲线
Fig. 5 Position and heading variation curve of each unmanned surface vehicles
图 7 无人艇编队位姿误差在同一时刻收敛曲线
Fig. 7 Formation position and attitude-error convergence curve of all degrees of freedom formation errors at the same time
图 8 跟随者 1 在 3 个自由度方向的外界环境干扰和模型不确定性实际值与估计值
Fig. 8 Actual and estimated-values of external disturbances and model uncertainties for follower 1 in three degrees of freedom
图 9 改变初始值编队位姿误差收敛曲线
Fig. 9 Formation position and attitude-error convergence curve in the situation of the initial values changed
图 10 基于符号函数的有限时间非线性滑模控制编队位姿误差收敛曲线[25]
Fig. 10 Formation position and attitude-error convergence curve of finite time nonlinear sliding mode control error based on sign function[25]
图 11 线性滑模控制的编队位姿误差收敛曲线
Fig. 11 Formation position and attitude-error convergence curve of linear sliding mode control
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