Unidirectional Convergence Problem of nonlinear system
Xia Zhao, Tianhua Lin, Xiaoguang Hu
Available Online April 2015.
- https://doi.org/10.2991/icmra-15.2015.150How to use a DOI?
- Unidirectional Convergence;Sliding Mode Control;Nonlinear System;Reaching Positon
- 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.
- 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 - 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 - https://doi.org/10.2991/icmra-15.2015.150 ID - Zhao2015/04 ER -