Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings

Xiangze Lin, Chih-Chiang Chen, Chunjiang Qian

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Smooth output feedback stabilization problem for a family of planar switched nonlinear systems is addressed. First, based on the adding a power integrator technique, the tasks of finding a common Lyapunov function and designing state feedback stabilizing control laws are accomplished simultaneously. Then, combining the state feedback control laws and the reduced-order nonlinear observers, output feedback control laws are designed to globally stabilize the switched nonlinear system under arbitrary switchings, whose subsystems may have uncontrollable/unobservable Jacobian linearizations.

Original languageEnglish
Pages (from-to)314-318
Number of pages5
JournalAutomatica
Volume82
DOIs
Publication statusPublished - 2017 Aug 1

Fingerprint

State feedback
Feedback control
Nonlinear systems
Stabilization
Feedback
Lyapunov functions
Linearization

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

@article{9a7156177bba49089cb66144e96812f7,
title = "Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings",
abstract = "Smooth output feedback stabilization problem for a family of planar switched nonlinear systems is addressed. First, based on the adding a power integrator technique, the tasks of finding a common Lyapunov function and designing state feedback stabilizing control laws are accomplished simultaneously. Then, combining the state feedback control laws and the reduced-order nonlinear observers, output feedback control laws are designed to globally stabilize the switched nonlinear system under arbitrary switchings, whose subsystems may have uncontrollable/unobservable Jacobian linearizations.",
author = "Xiangze Lin and Chih-Chiang Chen and Chunjiang Qian",
year = "2017",
month = "8",
day = "1",
doi = "10.1016/j.automatica.2017.03.020",
language = "English",
volume = "82",
pages = "314--318",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",

}

Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings. / Lin, Xiangze; Chen, Chih-Chiang; Qian, Chunjiang.

In: Automatica, Vol. 82, 01.08.2017, p. 314-318.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings

AU - Lin, Xiangze

AU - Chen, Chih-Chiang

AU - Qian, Chunjiang

PY - 2017/8/1

Y1 - 2017/8/1

N2 - Smooth output feedback stabilization problem for a family of planar switched nonlinear systems is addressed. First, based on the adding a power integrator technique, the tasks of finding a common Lyapunov function and designing state feedback stabilizing control laws are accomplished simultaneously. Then, combining the state feedback control laws and the reduced-order nonlinear observers, output feedback control laws are designed to globally stabilize the switched nonlinear system under arbitrary switchings, whose subsystems may have uncontrollable/unobservable Jacobian linearizations.

AB - Smooth output feedback stabilization problem for a family of planar switched nonlinear systems is addressed. First, based on the adding a power integrator technique, the tasks of finding a common Lyapunov function and designing state feedback stabilizing control laws are accomplished simultaneously. Then, combining the state feedback control laws and the reduced-order nonlinear observers, output feedback control laws are designed to globally stabilize the switched nonlinear system under arbitrary switchings, whose subsystems may have uncontrollable/unobservable Jacobian linearizations.

UR - http://www.scopus.com/inward/record.url?scp=85018342002&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018342002&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2017.03.020

DO - 10.1016/j.automatica.2017.03.020

M3 - Article

AN - SCOPUS:85018342002

VL - 82

SP - 314

EP - 318

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -