H∞ Filtering of 2-D FM LSS Model with State Delays

Peng, Dan; Guan, Xinping; Li, Yumei; Chen, Cailian

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H∞ Filtering of 2-D FM LSS Model with State Delays

Peng, Dan; Guan, Xinping; Li, Yumei et al.

2008 • In The 27th Chinese Control Conference

Peer reviewed

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https://hdl.handle.net/10993/16933

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Keywords :

2-D state-delayed systems; H∞ disturbance attenuation; H∞ filtering; Linear matrix inequality (LMI)

Abstract :

[en] In this paper, we deal with H∞ filtering problem for a class of two-dimensional (2-D) discrete time-invariant systems with state delays described by local state-space (LSS) Fornasini-Marchesini (FM) second model. Based on the bounded real lemma of 2-D state-delayed systems, H∞ filtering design is developed, such that the filtering error system is asymptotically stable and has H∞ performance via LMIs’ feasibility. Furthermore, the minimum H∞ norm bound can be obtained by solving a linear objective optimization problem. A numerical example is given to demonstrate the effectiveness and advantage of our result.

Disciplines :

Electrical & electronics engineering

Identifiers :

UNILU:UL-CONFERENCE-2013-060

Author, co-author :

Peng, Dan

Guan, Xinping

Li, Yumei ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)

Chen, Cailian

Language :

English

Title :

H∞ Filtering of 2-D FM LSS Model with State Delays

Publication date :

2008

Event name :

Proceedings of the 27th Chinese Control Conference

Event place :

Kunming, Yunnan, China

Event date :

16-18,July

Audience :

International

Main work title :

The 27th Chinese Control Conference

ISBN/EAN :

9787811243901

Pages :

184-188

Peer reviewed :

Peer reviewed

Commentary :

Proceedings of the 27th Chinese Control Conference

Available on ORBilu :

since 12 June 2014

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Bibliography

KACZOREK T. Two-dimensional linear systems[M]. Lecture Notes in Control and Information Sciences, vol. 68, Springer, Berlin, 1985.
DU C L, XIE L H. LMI approach to output feedback stabilization of 2-D discrete systems[J]. Int. J. Control. 1999, 72(2): 97-106.
WANG Z D, LIU X H. Robust stability of two-dimensional uncertain discrete systems[J]. IEEE Signal Processing Letters, 2003, 10(5): 133-136.
DU C L, XIE L H, ZHANG C. H∞ control and robust stabilization of two-dimensional systems in Roesser models[J]. Automatica, 2001, 37(2): 205-211.
GUAN X P, LONG C N, DUAN G R. Robust optimal guaranteed cost control for 2D discrete systems[J]. IEEE Proc. Control Theory and Applications, 2001, 148(5): 355-361.
DU C L, XIE L H, SOH Y C. H∞ filtering of 2-D discrete systems[J]. IEEE Trans. on Signal Process., 2000, 48: 1760-1768.
PORTER W A. ARAVENA J L. State estimation in discrete M-D systems[J]. IEEE Trans. Automat. Contr., 1986, 31: 280-283.
TUAN H D. APKARIAN P, NGUYEN T Q. et al. Robust mixed H 2/H∞ filtering of 2-D systems[J]. IEEE Transactions on Signal Processing, 2002, 50(7): 1759-1771.
DE OLIVEIRA M C, BERNUSSOU J, GEROMEL J C. A new discrete time robust stability condition[J]. Syst. Control Lett., 1999, 37: 261-265.
NICULESCU S I. Delay effects on stability[M]. Lecture Notes in Control and Information Sciences. Springer Verlag, London, 2001, 269.
ROGERS E, OWENS D H. Stability analysis for linear repetitive processes[M]. Lecture Notes in Control and Information Sciences, Springer-Verlag, 1992, 175.
Galkowski K, ROGERS E, PASZKE W, et al. Linear repetitive process control theory applied to a physical example[J]. Applied Mathematics and Computer Science, 2003, 13(1): 87-99.
PASZKE W, LAM J, GALKOWSKI K, et al. Robust stability and stabilisation of 2-D discrete state-delayed systems[J]. Syst. Control Lett., 2004. 51: 278-291.
Paszke W, Lam J, Galkowski K, et al. Delay-dependent stability condition for uncertain linear 2-D state-delayed systems[C]. Proc. 45th IEEE conf. Decision and control (CDC). 2006: 2783-2788.
PASZKE W, LAM J, GALKOWSKI K, et al. H∞ control of 2-D linear state-delayed systems[C]. The 4th IFAC Workshop Time-Delay Systems, Rocquencourt, France, Sep. 8-10, 2003.
CHEN S F, FONGI K. Robust filtering for 2-D state-delayed systems with NFT uncertainties[J]. IEEE Trans. on Signal Process., 2006, 54(1): 274-285.
FORNASINIE, MARCHESINIG. Doubly indexed dynamical systems: State-space models and structural properties[J]. Math. Syst. Theory, 1978, 12: 59-72.
KATAYAMA T, KOSAKA M. Recursive filtering algorithm for a 2-D system[J]. IEEE Trans. Automat. Contr., 1979, 24: 130-132.