Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers

Chih-Chiang Chen, Chunjiang Qian, Yew Wen Liang, Shihua Li

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

This paper considers the problem of global stabilization for a class of nonlinear systems with time-varying powers. A new design method based on the technique of adding a power integrator and the interval homogeneous domination approach, which can be thought as an evolution of the homogeneous domination approach, is developed to explicitly construct a smooth state feedback globally stabilizing controller. The novelty of this paper is the development of a systematic scheme, which provides us a new perspective to deal with the state feedback control problem for the nonlinear systems with time-varying powers.

Original languageEnglish
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7258-7263
Number of pages6
ISBN (Electronic)9781509018376
DOIs
Publication statusPublished - 2016 Dec 27
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: 2016 Dec 122016 Dec 14

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016

Other

Other55th IEEE Conference on Decision and Control, CDC 2016
CountryUnited States
CityLas Vegas
Period16-12-1216-12-14

Fingerprint

Domination
State feedback
Nonlinear systems
Time-varying
Stabilization
Nonlinear Systems
Interval
State Feedback Control
State Feedback
Design Method
Feedback control
Control Problem
Controller
Controllers
Class

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Optimization

Cite this

Chen, C-C., Qian, C., Liang, Y. W., & Li, S. (2016). Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 7258-7263). [7799389] (2016 IEEE 55th Conference on Decision and Control, CDC 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2016.7799389
Chen, Chih-Chiang ; Qian, Chunjiang ; Liang, Yew Wen ; Li, Shihua. / Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers. 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 7258-7263 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).
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abstract = "This paper considers the problem of global stabilization for a class of nonlinear systems with time-varying powers. A new design method based on the technique of adding a power integrator and the interval homogeneous domination approach, which can be thought as an evolution of the homogeneous domination approach, is developed to explicitly construct a smooth state feedback globally stabilizing controller. The novelty of this paper is the development of a systematic scheme, which provides us a new perspective to deal with the state feedback control problem for the nonlinear systems with time-varying powers.",
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Chen, C-C, Qian, C, Liang, YW & Li, S 2016, Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7799389, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 7258-7263, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 16-12-12. https://doi.org/10.1109/CDC.2016.7799389

Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers. / Chen, Chih-Chiang; Qian, Chunjiang; Liang, Yew Wen; Li, Shihua.

2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 7258-7263 7799389 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - This paper considers the problem of global stabilization for a class of nonlinear systems with time-varying powers. A new design method based on the technique of adding a power integrator and the interval homogeneous domination approach, which can be thought as an evolution of the homogeneous domination approach, is developed to explicitly construct a smooth state feedback globally stabilizing controller. The novelty of this paper is the development of a systematic scheme, which provides us a new perspective to deal with the state feedback control problem for the nonlinear systems with time-varying powers.

AB - This paper considers the problem of global stabilization for a class of nonlinear systems with time-varying powers. A new design method based on the technique of adding a power integrator and the interval homogeneous domination approach, which can be thought as an evolution of the homogeneous domination approach, is developed to explicitly construct a smooth state feedback globally stabilizing controller. The novelty of this paper is the development of a systematic scheme, which provides us a new perspective to deal with the state feedback control problem for the nonlinear systems with time-varying powers.

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Chen C-C, Qian C, Liang YW, Li S. Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 7258-7263. 7799389. (2016 IEEE 55th Conference on Decision and Control, CDC 2016). https://doi.org/10.1109/CDC.2016.7799389