Improved SSA‐RBF neural network‐based dynamic 3‐D trajectory tracking model predictive control of autonomous underwater vehicles with external disturbances

Han Bao, Haitao Zhu, Di Liu
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Abstract

Abstract This paper studies the three‐dimensional (3‐D) dynamic trajectory tracking control of an autonomous underwater vehicle (AUV). As AUV is a typical nonlinear system, each degree of freedom is strongly coupled, so the traditional control method based on the nominal model of AUV cannot guarantee the accuracy of the control system. To solve this problem, we first propose a prediction model based on a radial basis function neural network (RBF‐NN). The nonlinearity of AUV is learned and modeled offline by RBF‐NN based on previous data. This model can reflect the time sequence state and control variables of AUV. Secondly, to avoid the overfitting problem in network training based on the traditional gradient descent method, a new adaptive chaotic sparrow search algorithm (ACSSA) is proposed to optimize the network parameters, to improve the full approximation ability of RBF‐NN to nonlinear systems. To eliminate the steady‐state error caused by external interference during AUV trajectory tracking, a nonlinear optimizer is designed by updating the deviation of the NN model output layer. In each sampling period, the predictive control law is calculated online according to the deviation between the predicted value and the actual value. In addition, the stability analysis based on the Lyapunov method proves the asymptotic stability of the controller. Finally, the 3‐D dynamic trajectory tracking the performance of AUV under different external disturbances is verified by MATLAB/Simulink, and the results show that the proposed controller is more efficient and robust than the standard model predictive controller (MPC) controller and the standard NN model predictive controller (NNPC).
基于改进SSA - RBF神经网络的自主水下航行器动态三维轨迹跟踪模型预测控制
摘要研究了自主水下航行器(AUV)的三维动态轨迹跟踪控制。由于AUV是典型的非线性系统,各自由度是强耦合的,传统的基于AUV标称模型的控制方法无法保证控制系统的精度。为了解决这个问题,我们首先提出了一种基于径向基函数神经网络(RBF - NN)的预测模型。基于先前的数据,利用RBF - NN对水下航行器的非线性进行学习和离线建模。该模型能够反映AUV的时序状态和控制变量。其次,针对传统梯度下降法训练网络时存在的过拟合问题,提出了一种新的自适应混沌麻雀搜索算法(ACSSA)对网络参数进行优化,提高了RBF - NN对非线性系统的全面逼近能力。为了消除水下机器人轨迹跟踪过程中由于外界干扰引起的稳态误差,通过更新NN模型输出层的偏差,设计了非线性优化器。在每个采样周期内,根据预测值与实际值的偏差在线计算预测控制律。此外,基于Lyapunov方法的稳定性分析证明了控制器的渐近稳定性。最后,通过MATLAB/Simulink对不同外部干扰下AUV的三维动态轨迹跟踪性能进行了验证,结果表明,该控制器比标准模型预测控制器(MPC)和标准神经网络模型预测控制器(NNPC)具有更高的效率和鲁棒性。
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