线性分式扰动下奇异系统鲁棒滤波递推算法
研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集,本文讨论了如何寻找保守性最弱的加性不确定性来近似该交集,并证明了该问题在鲁棒滤波过程中可以转化为凸优化问题.数值仿真验证了上述算法的有效性.对于具有结构约束的线性分式不确定性,该算法的性能优于现有算法....
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| Published in | Zi dong hua xue bao Vol. 33; no. 11; pp. 1150 - 1155 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
清华大学自动化系,北京,100084
2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0254-4156 1874-1029 |
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| Abstract | 研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集,本文讨论了如何寻找保守性最弱的加性不确定性来近似该交集,并证明了该问题在鲁棒滤波过程中可以转化为凸优化问题.数值仿真验证了上述算法的有效性.对于具有结构约束的线性分式不确定性,该算法的性能优于现有算法. |
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| AbstractList | TP13; 研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集.本文讨论了如何寻找保守性最弱的加性不确定性来近似该交集,并证明了该问题在鲁棒滤波过程中可以转化为凸优化问题.数值仿真验证了上述算法的有效性.对于具有结构约束的线性分式不确定性,该算法的性能优于现有算法. 研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集,本文讨论了如何寻找保守性最弱的加性不确定性来近似该交集,并证明了该问题在鲁棒滤波过程中可以转化为凸优化问题.数值仿真验证了上述算法的有效性.对于具有结构约束的线性分式不确定性,该算法的性能优于现有算法. |
| Author | 张光磊 周彤 |
| AuthorAffiliation | 清华大学自动化系,北京100084 |
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| Author_FL | ZHANG Guang-Lei ZHOU Tong |
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| Snippet | 研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集,本文讨论了如... TP13; 研究了线性分式扰动下线性奇异系统的状态估计问题,给出了一种Kalman形式的递推滤波算法.研究表明,线性分式不确定性可以表示为一系列加性不确定性的交集.本文讨论了... |
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| SubjectTerms | Kalman滤波 奇异系统 线性分式不确定性 鲁棒性 |
| Title | 线性分式扰动下奇异系统鲁棒滤波递推算法 |
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