| 一类Lipschitz非线性系统的状态观测器设计 |
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| 引用本文： | 刘军,卢建波,黄盟芝.一类Lipschitz非线性系统的状态观测器设计[J].青岛科技大学学报,2010,31(1):96-99. |
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| 作者姓名： | 刘军 卢建波 黄盟芝 |
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| 作者单位： | 青岛科技大学自动化与电子工程学院,山东青岛266042 |
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| 摘 要： | 采用Lypunov方法,结合Lypunov方程的求解讨论了一类更为普遍的Lipschitz非线性系统的状态观测器设计问题,给出了观测器误差渐近收敛的充分条件,改善和扩展了有关文献的结果。研究表明:稳定观测器的存在不仅与线性稳定性矩阵的特征值有关,还与其状态转换矩阵的条件数及增益矩阵的范数有关。仿真结果验证了结论的有效性。
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| 关 键 词： | Lipschitz 非线性观测器 Lyapunov 特征值 条件数 |
State Observers Design for a Class of Lipschitz Nonlinear Systems |
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| LIUJun,LUJian-bo,HUANGMeng-zhi.State Observers Design for a Class of Lipschitz Nonlinear Systems[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2010,31(1):96-99. |
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| Authors: | LIUJun LUJian-bo HUANGMeng-zhi |
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| Affiliation: | LIU+Jun,LU+Jian-bo,HUANG+Meng-zhi(College+of+Automation+,+Electronic+Engineering,Qingdao+University+of+Science+,+Technology,Qingdao+266042,China) |
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| Abstract: | The design of state observers for a class of more general Lipschitz nonlinear systems is discussed,employing Lyapunov method and the solution theory of the Lyapunov equation.The sufficient conditions ensuring asymptotic stability of error dynamics of the observers are presented,and results in relative papers have been improved and also extended.It is shown that existing of stable observers for the class of systems is related to not only eigenvalues of linear stability matrix,but also the condition number of... |
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| Keywords: | Lipschitz Lyapunov |
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