A new approach to stabilization of high-order nonlinear systems with an asymmetric output constraint

Chih Chiang Chen, Guan Shiun Chen

Research output: Contribution to journalArticle

Abstract

This paper is concerned with the problem of state feedback stabilization for a class of high-order nonlinear systems with an asymmetric output constraint. A novel asymmetric barrier Lyapunov function (BLF) is first proposed by deliberating the characteristics of the system nonlinearities. Then, the presented BLF, together with a skillful manipulation of sign functions, is utilized to delicately revamp the technique of adding a power integrator, thereby developing a systematic approach that guides us in constructing a continuous state feedback stabilizer and preventing the violation of a pre-specified asymmetric output constraint during operation. The novelty of this paper is attributed to the development of a unified method that is able to simultaneously tackle the problem of stabilization for high-order nonlinear systems with and without output constraints in a constructive fashion, without changing the controller structure. An illustrative example is presented to demonstrate the superiority of the proposed approach.

Original languageEnglish
Pages (from-to)756-775
Number of pages20
JournalInternational Journal of Robust and Nonlinear Control
Volume30
Issue number2
DOIs
Publication statusPublished - 2020 Jan 25

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Lyapunov functions
State feedback
Nonlinear systems
Stabilization
Controllers

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Chemical Engineering(all)
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

Cite this

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abstract = "This paper is concerned with the problem of state feedback stabilization for a class of high-order nonlinear systems with an asymmetric output constraint. A novel asymmetric barrier Lyapunov function (BLF) is first proposed by deliberating the characteristics of the system nonlinearities. Then, the presented BLF, together with a skillful manipulation of sign functions, is utilized to delicately revamp the technique of adding a power integrator, thereby developing a systematic approach that guides us in constructing a continuous state feedback stabilizer and preventing the violation of a pre-specified asymmetric output constraint during operation. The novelty of this paper is attributed to the development of a unified method that is able to simultaneously tackle the problem of stabilization for high-order nonlinear systems with and without output constraints in a constructive fashion, without changing the controller structure. An illustrative example is presented to demonstrate the superiority of the proposed approach.",
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A new approach to stabilization of high-order nonlinear systems with an asymmetric output constraint. / Chen, Chih Chiang; Chen, Guan Shiun.

In: International Journal of Robust and Nonlinear Control, Vol. 30, No. 2, 25.01.2020, p. 756-775.

Research output: Contribution to journalArticle

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