Designated-time stabilizing strategy for a class of time-varying nonlinear systems and its application to pendulum system

Jiao Jiao Li, Zong Yao Sun, Changyun Wen, Chih Chiang Chen

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a new scheme is proposed to stabilize a class of nonlinear systems within a designated time, mainly motivated by two unsolved problems: the singularity caused by infinity control magnitudes at the prescribed time instant and the lack of formulating/manipulating state responses after the prescribed time. Under the proposed scheme, an exquisite controller is constructed by entailing both the state scaling approach and a finite-time stabilizing procedure. It is shown that the obtained control is well defined with bounded magnitude on the whole-time horizon and ensures the existence of the solutions of the closed-loop system. Superior to the existing prescribed time stabilization results, the proposed method is capable of ensuring that the states of the closed-loop system converge to a small compact set within the designated time, stay inside it thereafter and perform finite-time convergence eventually. Simulation examples are presented to illustrate the effectiveness of the proposed approach.

Original languageEnglish
JournalInternational Journal of Robust and Nonlinear Control
DOIs
Publication statusAccepted/In press - 2024

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

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