Fixed-time trajectory tracking control for underactuated surface vessels
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摘要: 针对系统内部存在模型参数不确定以及外部受到未知干扰,提出一种欠驱动无人艇固定时间轨迹跟踪控制方法。首先,通过模型转换将跟踪误差系统分为两个子系统分别进行控制器设计;其次,为解决系统内外的未知干扰问题,基于径向基神经网络和最小参数学习法对不确定项进行估计,从而保证系统具有抗干扰能力。然后,将双曲正切函数与滑模控制相结合,提出了一种基于固定时间的跟踪控制方法,可以保证无人艇在固定时间内快速跟踪期望轨迹;仿真结果表明,跟踪误差在固定时间内实现收敛并保持稳定,并且收敛时间与初始状态无关。所提出的控制策略可以实现固定时间稳定,具有优秀的抗干扰能力,且收敛时间与系统初始状态无关。Abstract: This study aims to solve the problem of trajectory tracking control for underactuated surface vessels (USVs) suffering from unmodeled dynamics and external disturbances. Firstly, the tracking errors system is divided into two channels for controller design through the model transformation. Then, in order to accommodate unknow system dynamics and external perturbation, the Minimum-Learning-Parameter based neural network are adopted to compensate the uncertainties. After that, a fixed-time sliding mode controller is proposed with the application of hyperbolic tangent function, which can ensure fast convergence of tracking errors. Numerical simulation results illustrate that the fixed-time convergence for tracking errors can be guaranteed independent of initial states. The designed control scheme not only possesses fixed-time convergence rate, but also shows satisfactory disturbance rejection capability.
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