Unidirectional Convergence Problem of nonlinear system

DOI

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/icmra-15.2015.150
ID  - Zhao2015/04
ER  -