Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers

Chih Chiang Chen; Chunjiang Qian; Xiangze Lin; Zong Yao Sun; Yew Wen Liang

doi:10.1002/rnc.3826

Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers

Chih Chiang Chen, Chunjiang Qian, Xiangze Lin, Zong Yao Sun, Yew Wen Liang

Department of Systems and Naval Mechatronic Engineering

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

This paper investigates the global asymptotic stabilization problem for a class of nonlinear systems with time-varying powers. First, adding a power integrator technique is revamped to design a smooth state feedback controller, which is implementable with only upper and lower bounds of the time-varying powers. When the system state is not fully available and the time-varying power is exactly known, a smooth output feedback controller constituted by a state feedback and a nonlinear state observer is constructed to globally stabilize the system.

Original language	English
Pages (from-to)	5113-5128
Number of pages	16
Journal	International Journal of Robust and Nonlinear Control
Volume	27
Issue number	18
DOIs	https://doi.org/10.1002/rnc.3826
Publication status	Published - 2017 Dec 1

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

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10.1002/rnc.3826

Cite this

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abstract = "This paper investigates the global asymptotic stabilization problem for a class of nonlinear systems with time-varying powers. First, adding a power integrator technique is revamped to design a smooth state feedback controller, which is implementable with only upper and lower bounds of the time-varying powers. When the system state is not fully available and the time-varying power is exactly known, a smooth output feedback controller constituted by a state feedback and a nonlinear state observer is constructed to globally stabilize the system.",

author = "Chen, {Chih Chiang} and Chunjiang Qian and Xiangze Lin and Sun, {Zong Yao} and Liang, {Yew Wen}",

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AU - Qian, Chunjiang

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AU - Sun, Zong Yao

AU - Liang, Yew Wen

N1 - Funding Information: This work was supported by the National Chiao Tung University Short Term Research Scholarship funded by The Ministry of Education under Taiwan’s 2015 Global Networking Talent Plan and the Natural Science Foundation of China under Grant 61628302. Publisher Copyright: Copyright © 2017 John Wiley & Sons, Ltd.

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AB - This paper investigates the global asymptotic stabilization problem for a class of nonlinear systems with time-varying powers. First, adding a power integrator technique is revamped to design a smooth state feedback controller, which is implementable with only upper and lower bounds of the time-varying powers. When the system state is not fully available and the time-varying power is exactly known, a smooth output feedback controller constituted by a state feedback and a nonlinear state observer is constructed to globally stabilize the system.

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Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers

Abstract

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