| 一类链式系统部分变元渐近稳定、有限时间稳定观测器设计 |
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| 引用本文： | 沈艳军,吴超艳.一类链式系统部分变元渐近稳定、有限时间稳定观测器设计[J].山东大学学报(工学版),2013,43(6):42-46. |
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| 作者姓名： | 沈艳军 吴超艳 |
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| 作者单位： | 1.三峡大学电气与新能源学院, 湖北 宜昌 443002; 2.三峡大学理学院, 湖北 宜昌 443002 |
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| 基金项目： | 国家自然科学基金资助项目(61074091, 61174216, 51177088, 61273183); 湖北省自然科学基金(2011CDB187);湖北省教育厅杰出青年团队项目(T201103) |
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| 摘 要： | 设计了链式系统部分变元渐进稳定、有限时间稳定观测器。给出了链式系统部分变元渐近稳定观测器和部分变元有限时间稳定观测器的定义,构造部分变元渐近稳定观测器和部分变元有限时间稳定观测器,利用齐次理论和Lyapunov稳定理论证明观测误差的渐近收敛性和有限时间收敛性。仿真结果验证了该方法的有效性。
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| 关 键 词： | 链式系统 部分变元渐近稳定 部分变元有限时间稳定 观测器 齐次理论 |
| 收稿时间： | 2013-05-15 |
Partially asymptotically stable and finite-time stable observer design for a class of chained systems |
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| SHEN Yan-jun,WU Chao-yan.Partially asymptotically stable and finite-time stable observer design for a class of chained systems[J].Journal of Shandong University of Technology,2013,43(6):42-46. |
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| Authors: | SHEN Yan-jun WU Chao-yan |
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| Affiliation: | 1.College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China;
2.College of Science, China Three Gorges University, Yichang 443002, China |
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| Abstract: | Partially asymptotically stable observer and finite-time observer for a class of chained systems were designed. The definition of partially asymptotically stable observer and finite-time observer for the chained systems were presented. Then, the partially asymptotically stable observer and finite time observer were constructed respectively. By theories of homogeneity and Lyapunov stability, the asymptotical stability and finite-time stability of the observation errors were proved. At last, the validity of the method was demonstrated by a numerical example. |
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| Keywords: | chained system partial asymptotical stability finite-time stability observer homogeneous theory |
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