IEEE Trans Cybern. 2020 Jun;50(6):2536-2545. doi: 10.1109/TCYB.2019.2901250. Epub 2019 Mar 13.
In this paper, the tracking control problem is considered for a class of multiple-input multiple-output (MIMO) nonlinear systems with input saturation and unknown direction control gains. A command filtered adaptive neural networks (NNs) control method is presented with regard to the MIMO systems by designing the virtual controllers and error compensation signals. First, the command filtering is used to solve the "explosion of complexity" problem in the conventional backstepping design and the nonlinearities are approximated by NNs. Then, the error compensation signals are developed to conquer the shortcoming of the dynamic surface method. In addition, the Nussbaum-type functions are utilized to cope with the unknown direction control gains. The effectiveness of the proposed new design scheme is illustrated by simulation examples.
本文针对一类具有输入饱和和未知方向控制增益的多输入多输出(MIMO)非线性系统,考虑了跟踪控制问题。通过设计虚拟控制器和误差补偿信号,提出了一种针对 MIMO 系统的命令滤波自适应神经网络(NNs)控制方法。首先,利用命令滤波解决了传统反推设计中的“复杂性爆炸”问题,并通过 NNs 逼近非线性。然后,开发了误差补偿信号来克服动态面方法的缺点。此外,利用 Nussbaum 型函数来处理未知的方向控制增益。通过仿真示例验证了所提出的新设计方案的有效性。