Global prescribed-time stabilization via time-scale transformation for switched nonlinear systems subject to switching rational powers

作者：

Highlights：

• Fully taking into consideration of practical system requirements, global prescribed-time stabilization problem of SNSs is firstly considered.

• A novel time-scale transformation is recommended to change the original nonsingular prescribed-time stabilization problem into the finite-time stabilization problem of transformed time-varying one.

• Under the weaker restricted condition on characterizing system growth, a systematic design method of common coordinate transformation is proposed by delicately utilizing CLF-based-AOPI technique.

• As an application of the proposed theoretical result, the problem of prescribed-time control of a liquid-level system is solved.

摘要

•Fully taking into consideration of practical system requirements, global prescribed-time stabilization problem of SNSs is firstly considered.•A novel time-scale transformation is recommended to change the original nonsingular prescribed-time stabilization problem into the finite-time stabilization problem of transformed time-varying one.•Under the weaker restricted condition on characterizing system growth, a systematic design method of common coordinate transformation is proposed by delicately utilizing CLF-based-AOPI technique.•As an application of the proposed theoretical result, the problem of prescribed-time control of a liquid-level system is solved.

论文关键词：Switched nonlinear systems (SNSs),Switching rational powers,Time-scale transformation,Prescribed-time stabilization

论文评审过程：Received 22 May 2020, Revised 1 August 2020, Accepted 25 October 2020, Available online 18 November 2020, Version of Record 18 November 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125766