| 引用本文: | 沈艳军,夏小华.一类非Lipschitz非线性系统全局渐近稳定观测器设计(英文)[J].控制理论与应用,2013,30(6):742~752.[点击复制] |
| SHEN Yan-jun,XIA Xiao-hua.Global asymptotic stable observers for a class of non-Lipschitz nonlinear systems[J].Control Theory and Technology,2013,30(6):742~752.[点击复制] |
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| 一类非Lipschitz非线性系统全局渐近稳定观测器设计(英文) |
| Global asymptotic stable observers for a class of non-Lipschitz nonlinear systems |
| 摘要点击 2493 全文点击 1623 投稿时间：2012-01-10 修订日期：2012-10-05 |
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| DOI编号 10.7641/CTA.2013.12008 |
| 2013,30(6):742-752 |
| 中文关键词 齐次 渐近稳定 非线性系统 观测器 |
| 英文关键词 homogeneity asymptotic stability nonlinear system observer |
| 基金项目 This work is supported by the National Science Foundation of China (No. 61074091, 61174216, 61273183), the National Science Foundation of Hubei Province (No. 2011CDB187) and the Scientific Innovation Team Project of Hubei Provincial Department of Education (No. T200809, T201103). |
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| 中文摘要 |
| 本文讨论一类一致可测非线性系统全局渐近稳定观测器的设计. 所讨论的非线性系统是非Lipschitz的, 具有混合指数幂(指数幂大于1或小于1). 所设计的观测器有两项齐次误差项, 其中一项指数幂大于1, 另一项指数幂小于1. 此外, 所设计的观测器结构简单. 通过构造适当的齐次Lyapuonv函数证明了状态误差渐近收敛性. 最后两个数值仿真实验验证本方法的有效性. |
| 英文摘要 |
| A global asymptotic stable observer is proposed for a class of nonlinear systems with uniform observability. The characteristic of the systems is the non-Lipschitz conditions with mixed rational powers (greater than 1 or less than 1). The designed observers have two homogeneous terms of the observer error, one is with the power greater than 1 and the other is with the power smaller than 1. Moreover, the observers have explicit forms. By constructing a proper homogeneous Lyapunov function, we can obtain the asymptotic stability. Finally, two numerical simulations are given to show the validity of the proposed methods. |