This paper concentrates on the study of finite time control for nonlinear switched systems. Based on a newly introduced adding a barrier integrator technique, a novel adaptive fuzzy control strategy is proposed for a class of nonlinear switched systems. Compared with the existing adaptive control methods, the proposed method has several distinguishing features. Finite time control: the proposed adaptive control method can solve the exact finite time control problem for the stabilization and some types of tracking issues. Namely, the errors will converge to zero in finite time. For a general tracking problem, the practical finite time control can be achieved. More general systems: the proposed method is suitable for high order nonlinear switched systems with arbitrary switching and unknown control gains. Some strict assumptions on the system dynamics are relaxed. Full state constraints: the proposed method can be utilized to deal with the full state constraints problem. Simple controller structure: the “explosion of the complexity” in the backstepping design is avoided. Singularity free design: the singularity problem is carefully handled during the whole design procedure. Examples are presented to illustrate the effectiveness of the proposed method.

中文翻译：

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通过添加势垒功率积分器实现开关系统的模糊有限时间控制


本文主要研究非线性切换系统的有限时间控制。基于新引入的添加势垒积分器技术，针对一类非线性切换系统提出了一种新颖的自适应模糊控制策略。与现有的自适应控制方法相比，该方法具有几个显着特点。有限时间控制：所提出的自适应控制方法可以解决稳定和某些类型的跟踪问题的精确有限时间控制问题。也就是说，误差将在有限时间内收敛到零。对于一般的跟踪问题，可以实现实用的有限时间控制。更一般的系统：所提出的方法适用于具有任意切换和未知控制增益的高阶非线性切换系统。放松了对系统动力学的一些严格假设。全状态约束：所提出的方法可以用来处理全状态约束问题。简单的控制器结构：避免了反步设计中的“复杂性爆炸”。无奇点设计：在整个设计过程中仔细处理奇点问题。举例说明了所提出方法的有效性。