Abstract This paper is concerned with the problem of global prescribed-time stabilization for a kind of uncertain switched nonlinear systems (SNSs) in p -normal form. Notably, the significant features of the study are that, the system under investigation possesses the switching rational powers, and the system states are driven to zero in prescribed finite time. A novel time-scale transformation is recommended which can change the original nonsingular prescribed-time stabilization problem into the finite-time stabilization problem of converted time-varying system. On basis of this, a new framework of studying state feedback stabilization within prescribed-time of SNSs is established with the aid of the common lyapunov function-based adding one power integrator (CLF-based-AOPI) technique. For arbitrary switchings, it is showed that the states of the closed-loop system (CLS) are rendered to zero in prescribed finite time. Simulation example of a liquid-level system is presented to confirm the effectiveness of the given control approach.

中文翻译：

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受切换有理功率影响的切换非线性系统通过时标变换的全局规定时间镇定

摘要 本文研究一类p-范式不确定切换非线性系统(SNSs)的全局规定时间镇定问题。值得注意的是，该研究的显着特点是，所研究的系统具有切换理性功率，并且系统状态在规定的有限时间内被驱动为零。推荐了一种新的时标变换，它可以将原来的非奇异规定时间镇定问题转化为转换时变系统的有限时间镇定问题。在此基础上，借助常用的基于李雅普诺夫函数的加一功率积分器（CLF-based-AOPI）技术，建立了研究SNSs规定时间内状态反馈稳定性的新框架。对于任意切换，结果表明，闭环系统 (CLS) 的状态在规定的有限时间内呈现为零。给出了液位系统的仿真示例，以确认给定控制方法的有效性。