Stabilization of nonlinear affine systems by homogeneous method

Shihong Ding; Wei Xing Zheng

Stabilization of nonlinear affine systems by homogeneous method

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

Abstract

In this paper, we consider the stabilization problems for nonlinear affine systems based on homogeneous control Lyapunov function. There are two main results. The first one is that we propose a feedback controller for a kind of nonlinear multi-input affine system by using a control Lyapunov function. The other is that, by applying the homogeneous properties, we derive the sufficient conditions for the continuity of the proposed controller. An academic example is given to verify the effectiveness of the method.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference (CCC), July 25-27, 2012, Hefei, China
Publisher	IEEE
Pages	799-802
Number of pages	4
ISBN (Print)	9789881563811
Publication status	Published - 2012
Event	Chinese Control Conference - Duration: 25 Jul 2012 → …

Conference

Conference	Chinese Control Conference
Period	25/07/12 → …

Keywords

Lyapunov functions
affine systems
homogeneous method

Cite this

@inproceedings{65543cffa89b4c36a02a0d6489017d99,

title = "Stabilization of nonlinear affine systems by homogeneous method",

abstract = "In this paper, we consider the stabilization problems for nonlinear affine systems based on homogeneous control Lyapunov function. There are two main results. The first one is that we propose a feedback controller for a kind of nonlinear multi-input affine system by using a control Lyapunov function. The other is that, by applying the homogeneous properties, we derive the sufficient conditions for the continuity of the proposed controller. An academic example is given to verify the effectiveness of the method.",

keywords = "Lyapunov functions, affine systems, homogeneous method",

author = "Shihong Ding and Zheng, {Wei Xing}",

year = "2012",

language = "English",

isbn = "9789881563811",

pages = "799--802",

booktitle = "Proceedings of the 31st Chinese Control Conference (CCC), July 25-27, 2012, Hefei, China",

publisher = "IEEE",

note = "Chinese Control Conference ; Conference date: 25-07-2012",

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TY - GEN

T1 - Stabilization of nonlinear affine systems by homogeneous method

AU - Ding, Shihong

AU - Zheng, Wei Xing

PY - 2012

Y1 - 2012

N2 - In this paper, we consider the stabilization problems for nonlinear affine systems based on homogeneous control Lyapunov function. There are two main results. The first one is that we propose a feedback controller for a kind of nonlinear multi-input affine system by using a control Lyapunov function. The other is that, by applying the homogeneous properties, we derive the sufficient conditions for the continuity of the proposed controller. An academic example is given to verify the effectiveness of the method.

AB - In this paper, we consider the stabilization problems for nonlinear affine systems based on homogeneous control Lyapunov function. There are two main results. The first one is that we propose a feedback controller for a kind of nonlinear multi-input affine system by using a control Lyapunov function. The other is that, by applying the homogeneous properties, we derive the sufficient conditions for the continuity of the proposed controller. An academic example is given to verify the effectiveness of the method.

KW - Lyapunov functions

KW - affine systems

KW - homogeneous method

UR - http://handle.uws.edu.au:8081/1959.7/520817

UR - http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6373891

M3 - Conference Paper

SN - 9789881563811

SP - 799

EP - 802

BT - Proceedings of the 31st Chinese Control Conference (CCC), July 25-27, 2012, Hefei, China

PB - IEEE

T2 - Chinese Control Conference

Y2 - 25 July 2012

ER -

Stabilization of nonlinear affine systems by homogeneous method

Abstract

Conference

Keywords

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