Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation

Unidirectional Convergence Problem of nonlinear system

Authors
Xia Zhao, Tianhua Lin, Xiaoguang Hu
Corresponding Author
Xia Zhao
Available Online April 2015.
DOI
https://doi.org/10.2991/icmra-15.2015.150How to use a DOI?
Keywords
Unidirectional Convergence;Sliding Mode Control;Nonlinear System;Reaching Positon
Abstract
The unidirectional convergence condition and unidirectional convergence domain problems for nonlinear system are studied. Firstly, linear dynamic closed-loop equation is obtained by designing linear switching function and corresponding control law. Secondly, the reaching position of the system is calculated based on the analyzed solution. Thirdly, unidirectional convergence condition and unidirectional convergence domain are achieved by analyzing the sign relationship between the initial state and the reaching state. If the sign of the initial state and the reaching state are same, the system state is unidirectional convergence. Otherwise, the system state is not unidirectional convergence. If the initial state is positioned in unidirectional convergence domain, the movement of the state is unidirectional convergence. Lastly, the simulation results proved the above conclusions.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
3rd International Conference on Mechatronics, Robotics and Automation
Part of series
Advances in Computer Science Research
Publication Date
April 2015
ISBN
978-94-62520-76-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmra-15.2015.150How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Xia Zhao
AU  - Tianhua Lin
AU  - Xiaoguang Hu
PY  - 2015/04
DA  - 2015/04
TI  - Unidirectional Convergence Problem of nonlinear system
BT  - 3rd International Conference on Mechatronics, Robotics and Automation
PB  - Atlantis Press
SP  - 776
EP  - 780
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmra-15.2015.150
DO  - https://doi.org/10.2991/icmra-15.2015.150
ID  - Zhao2015/04
ER  -