An adaptive terminal sliding mode control method, comprising: establishing a dynamics equation of a multi-input multi-output non-linear system, determining a sliding mode surface s, introducing an n-dimensional adaptive update rate Γ̂adaptive,n, and calculating values of a primary force/torque required to drive the non-linear system, thus ensuring convergence of the system within a limited period of time and stability. The method of the present invention enables a tracking error of the system to converge to zero within a limited amount of time, and enables online estimation of an upper uncertainty boundary value of the system, thus significantly eliminating the fluttering phenomenon to a great extent. The method of the present invention is applicable to all kinds of robot systems, aircraft systems, and other application systems which can be described as a multi-input multi-output non-linear/linear system.
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机译:一种自适应终端滑模控制方法,包括:建立多输入多输出非线性系统的动力学方程,确定滑模面 s I>,引入 n I >维自适应更新率Γ̂ adaptive,n Sub>,并计算驱动非线性系统所需的主力/扭矩值,从而确保系统在有限的时间范围内收敛并保持稳定性。本发明的方法使得系统的跟踪误差能够在有限的时间内收敛为零,并且能够在线估计系统的不确定性上限值,从而在很大程度上消除了颤动现象。本发明的方法适用于可以描述为多输入多输出非线性/线性系统的所有种类的机器人系统,飞机系统和其他应用系统。
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