一类不确定Lurie时滞奇异系统的鲁棒H[[infinity]]滤波

LU Ren-Quan; WANG Jun-Hong; XUE An-Ke; SU Hong-Ye; CHU Jian

doi:10.1360/aas-007-0292

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一类不确定Lurie时滞奇异系统的鲁棒H[[infinity]]滤波

doi: 10.1360/aas-007-0292

1.
Institute of Information & Control, Hangzhou Dianzi University, Hangzhou 310018 P. R. China
2.
National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027 P. R. China

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出版历程
- 收稿日期: 2005-09-14
- 修回日期: 2006-04-07
- 刊出日期: 2007-03-20

Robust H[[infinity]] Filtering for a Class of Uncertain Lurie Time-delay Singular Systems

1.
Institute of Information &Control, Hangzhou Dianzi University, Hangzhou 310018 P. R. China 2. National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027 P. R. China

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Corresponding author: LU Ren-Quan

摘要

摘要: This paper deals with the problem of the robust H1 filtering for a class of Lurie singular systems with state time-delays, parameter uncertainties and unknown statistics characteristics but with limited power disturbance, aiming to design a robustly stable filter such that the uncertain Lurie time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of H[[infinity]] performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequalities (LMIs). When a solution to this set of LMIs exists, the parametric matrices of a desired filter can be easily obtained using LMI toolbox.
- Lurie singular system /
- robust H[[infinity]] filtering /
- linear matrix inequality (LMI)
Abstract: This paper deals with the problem of the robust H1 filtering for a class of Lurie singular systems with state time-delays, parameter uncertainties and unknown statistics characteristics but with limited power disturbance, aiming to design a robustly stable filter such that the uncertain Lurie time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of H[[infinity]] performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequalities (LMIs). When a solution to this set of LMIs exists, the parametric matrices of a desired filter can be easily obtained using LMI toolbox.
- Lurie singular system /
- robust H[[infinity]] filtering /
- linear matrix inequality (LMI)