| 引用本文: | 吴热冰, 李春文.一般非线性系统的构造性逆系统方法[J].控制理论与应用,2003,20(3):345~350.[点击复制] |
| WU Re-bing, LI Chun-wen.Constructive inverse system method for general nonlinear systems[J].Control Theory and Technology,2003,20(3):345~350.[点击复制] |
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| 一般非线性系统的构造性逆系统方法 |
| Constructive inverse system method for general nonlinear systems |
| 摘要点击 1557 全文点击 1744 投稿时间：2001-03-21 修订日期：2002-06-21 |
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| DOI编号 10.7641/j.issn.1000-8152.2003.3.006 |
| 2003,20(3):345-350 |
| 中文关键词 非线性系统 右可逆性 逆系统方法 |
| 英文关键词 nonlinear systems right invertibility inverse system method |
| 基金项目 |
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| 中文摘要 |
| 针对由于逆系统方法之求逆算法中求解隐函数方程的困难, 通过消元法避开对隐函数方法的求解, 提出了一般非线性多变量系统的构造性求逆算法. 在此基础上讨论对逆系统方法的相应改进, 通过动态补偿进一步提出了构造性逆系统方法. 这种改进使得逆系统方法原则上可以构造性地适用于任意足够光滑的非线性系统. |
| 英文摘要 |
| The unsolvability of implicit equations existing in the inversion algorithm in the inverse system method (ISM) is considered, and a constructive inversion algorithm is presented for general nonlinear systems so as to avoid solving implicit equations via elimination method. Based on the algorithm, the corresponding modification of ISM is discussed, and the constructive ISM is proposed through dynamical compensation. These improvements enable ISM to be constructively applicable in principle to arbitrary nonlinear system that is smooth enough. |
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