Fast finite-time partial state feedback stabilization of high-order nonlinear systems with output constraint and dynamic uncertainties

Zong Yao Sun, Cheng Qian Zhou, Chih Chiang Chen, Qinghua Meng

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

This paper focuses on the problem of finite-time stabilization for a class of high-order nonlinear systems with output constraint and zero dynamics. The systems under investigation possess two remarkable features: the output is restricted in a pre-specified region arising from the demand of practical operation, and inherent nonlinearities include nonlinear growth rate of high-order and low-order together with unmeasurable dynamic uncertainties. This paper proposes a continuous controller by means of a new tangent function and a serial of nonnegative integral functions with sign functions, and the controller ensures the adjustability of convergent speed of system state, which is faster than the counterpart of traditional finite-time stabilizers. The novelty is attributed to a perspective to applying the fast finite-time stability in partial state feedback control design in the case when the output is restricted. Finally, a numerical example is presented to demonstrate the effectiveness of the theoretical result.

Original languageEnglish
Pages (from-to)11189-11216
Number of pages28
JournalJournal of the Franklin Institute
Volume357
Issue number16
DOIs
Publication statusPublished - 2020 Nov

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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