| Lipschitz非线性系统状态观测器设计新方法 |
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| 引用本文： | 明廷涛,张永祥,孙云岭,张西勇.Lipschitz非线性系统状态观测器设计新方法[J].海军工程大学学报,2008,20(3). |
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| 作者姓名： | 明廷涛 张永祥 孙云岭 张西勇 |
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| 作者单位： | 海军工程大学,船舶与动力学院,武汉,430033 |
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| 摘 要： | 针对Lipschitz非线性系统状态观测器,提出了一种以极小化条件数为目标准则的新的设计方法。运用梯度下降法和Slyvester方程,计算极小化条件数,优化增益矩阵和最大允许Lipschitz常数,完成观测器设计。通过同其它文献的算例比较,结果发现按文中方法设计的观测器具有迭代次数少、优化结果好的特点。
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| 关 键 词： | 状态观测器 Lipschitz非线性系统 极小化条件数 梯度下降法 Slyvester方程 |
A new design method of state observer for Lipschitz nonlinear systems |
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| MING Ting-tao,ZHANG Yong-xiang,SUN Yun-ling,ZHANG Xi-yong.A new design method of state observer for Lipschitz nonlinear systems[J].Journal of Naval University of Engineering,2008,20(3). |
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| Authors: | MING Ting-tao ZHANG Yong-xiang SUN Yun-ling ZHANG Xi-yong |
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| Abstract: | This paper presented a new design method of state observer for Lipschitz nonlinear systems,aiming at the minimization of condition number.A systematic computational procedure for minimization of condition number was developed based on the gradient flow algorithm and Slyvester equation.The observer gain matrix and the allowable maximum Lipschitz constant were optimized by using this method.By comparing numerical example with other papers,the result reveals that simple computation and well design are the characteristics of the observer. |
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| Keywords: | state observer Lipschitz nonlinear systems minimization of condition number gradient flow algorithm Slyvester equation |
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