一类非线性系统的动态反馈有限时间饱和镇定

摘要

本文针对一类作线性系统在输入饱和下的有限时间动态反馈镇定问题进行了讨论,提出了一种切换控制策略.通过有限次切换将复杂非线性系统分成不同的简单子系统,使得在每一步切换控制中,状态收敛到所给位置或平衡位置的时间是有限的,且每步的控制器均满足饱和条件.最后给出了一个例子并设计了其有限时间饱和镇定控制器,仿真实验验证了所设计控制器的有效性.%The finite-time dynamic feedback stabilization problem is considered for a class of nonlinear systems under the input saturation, and a switch control strategy is proposed. It can divide the complex nonlinear systems into different simple subsystems by a finite number of switching in order to make the states in every step converge to a prespecified point or the equilibrium point in a finite time, and the saturation property is satisfied in every step by the controllers as required as design. Finally, a specific example of the system and a finite-time saturated controller are given; and the effectiveness of the proposed control approach is validated by the simulation results.