| Approximation law for discrete-time variable structure control systems |
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| 作者姓名： | Yan ZHENG Yuanwei JING |
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| 作者单位： | School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China （No.60274099） and the Foundation of Key Laboratory of Process Industry Automation, Ministry of Education. |
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| 摘 要： | Two approximation laws of sliding mode for discrete-time variable structure control systems are proposed to overcome the limitations of the exponential approximation law and the variable rate approximation law. By applying the proposed approximation laws of sliding mode to discrete-time variable structure control systems, the stability of origin can be guaranteed, and the chattering along the switching surface caused by discrete-time variable structure control can be restrained effectively. In designing of approximation laws, the problem that the system control input is restricted is also considered, which is very important in practical systems. Finally a simulation example shows the effectiveness of the two approximation laws proposed.
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| 关 键 词： | 离散时间系统 逼近定律 变量结构控制 准滑动模式 |
| 收稿时间： | 7/6/2005 12:00:00 AM |
| 修稿时间： | 2006-03-29 |
Approximation law for discrete-time variable structure control systems |
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| Yan ZHENG,Yuanwei JING.Approximation law for discrete-time variable structure control systems[J].Journal of Control Theory and Applications,2006,4(3):291-296. |
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| Authors: | Yan ZHENG Yuanwei JING |
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| Affiliation: | School of Information Science and Engineering,Northeastern University,Shenyang Liaoning 110004,China |
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| Abstract: | Two approximation laws of sliding mode for discrete-time variable structure control systems are proposed to overcome the limitations of the exponential approximation law and the variable rate approximation law. By applying the proposed approximation laws of sliding mode to discrete-time variable structure control systems, the stability of origin can be guaranteed, and the chattering along the switching surface caused by discrete-time variable structure control can be restrained effectively. In designing of approximation laws, the problem that the system control input is restricted is also considered, which is very important in practical systems. Finally a simulation example shows the effectiveness of the two approximation laws proposed. |
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| Keywords: | Neural network Convex programming Global convergence Equilibrium points |
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