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

Chih Chiang Chen; Chunjiang Qian; Yew Wen Liang; Shihua Li

doi:10.1109/CDC.2016.7799389

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

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

Department of Systems and Naval Mechatronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 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 language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7258-7263
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7799389
Publication status	Published - 2016 Dec 27
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 2016 Dec 12 → 2016 Dec 14

Publication series

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

Other

Other	55th IEEE Conference on Decision and Control, CDC 2016
Country	United States
City	Las Vegas
Period	16-12-12 → 16-12-14

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Decision Sciences (miscellaneous)
Control and Optimization

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10.1109/CDC.2016.7799389

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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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title = "Interval homogeneous domination approach for global stabilization of nonlinear systems with time-varying powers",

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.",

author = "Chen, {Chih Chiang} and Chunjiang Qian and Liang, {Yew Wen} and Shihua Li",

year = "2016",

month = dec,

day = "27",

doi = "10.1109/CDC.2016.7799389",

language = "English",

series = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "7258--7263",

booktitle = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

address = "United States",

note = "55th IEEE Conference on Decision and Control, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",

}

Chen, CC, 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 proceeding › Conference 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 CC, 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

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

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