A novel method of H∞ filter design for time-varying delaysystems

ICIC Express Letters

Volumn 4, Issue 3, 2010, Pages 667-673

  Liu, Jinliang ^a   Hu, Songlin ^b   Tian, Engang ^a  

^a DONGHUA UNIVERSITY   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

H filter; LMIs; Matrix function convex; Time varying delay

Indexed keywords

ANALYSIS RESULTS; CONVEXITY PROPERTIES; ERROR SYSTEMS; FILTER DESIGNS; MATRIX FUNCTIONS; NOVEL METHODS; NUMERICAL EXAMPLE; TIME SYSTEMS; TIME VARYING; TIME-VARYING DELAY;

FILTER BANKS; FUNCTION EVALUATION; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS;

DESIGN;

EID: 77953893598     PISSN: 1881803X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. A. Elsayed and M. Grimble, A new approach to the H∞ design ofoptimal digital linear filters, IMA Journal of Mathematical Control andInformation, vol.6, no.2, pp.233-251, 1989.
2. C. Peng and Y. Tian, Delay-dependent robust stability criteria foruncertain systems with interval time-varying delay, Journal of Computational andApplied, Mathematics, vol.214, no.2, pp.480-494, 2008.
3. C. Gong and B. Su, Robust L2-L∞ filtering of convex polyhedraluncertain time-delay fuzzy systems, International Journal of InnovativeComputing Information and, Control, vol.4, no.4, pp.793-802, 2008.
4. X. Zhang, M. Wu, J. She and Y. He, Delay-dependent stabilization oflinear systems with time- varying state and input delays, Automatica, vol.41,no.8, pp.1405-1412, 2005.
5. X. Zhang and Q. Han, Delay-dependent robust H∞ filtering foruncertain discrete-time systems with time-varying delay based on a finite suminequality, IEEE Transactions on Circuits and Systems II: Express Briefs,vol.53, no.12, pp.1466-1470, 2006.
6. E. Boukas and N. K. M'Sirdi, Stabilization of linear systems via delayedstate feedback controller, ICIC Express letters, vol.2, no.1, pp.1-6, 2008.
7. E. Boukas, Free-weighting matrices delaydependent stabilization forsystems with time varying delays, ICIC Express letters, vol.2, no.2, pp.167-173,2008.
8. Z. Wang and D. Ho, Filtering on nonlinear time-delay stochastic systems,Automatica, vol.39, no.l, pp.101-109, 2003.
9. S. Nguang and P. Shi, Delay-dependent H∞ filtering for uncertaintime delay nonlinear systems: An lmi approach, IET Control Theory &Applications, vol.1, no.l, pp.133-140, 2007.
10. Z. Wang, D. Ho and X. Liu, Robust filtering under randomly varying sensordelay with variance constraints, IEEE Transactions on Circuits and, Systems II:Express Briefs, vol.51, no.6, pp.320-326, 2004.
11. C. De Souza, R. Palhares and P. Peres, Robust filter design for uncertainlinear systems with multiple time-varying state delays, IEEE Transactions onSignal Processing, vol.49, no.3, pp.569-576, 2001.
12. D. Yue, Q. Han and J. Lam, Robust H∞ control and filtering ofnetworked control systems, Networked Control Systems: Theory and, Applications,Springer Science + Business Media, Deutschland, GmbH, pp.121-151, 2008.
13. D. Yue and Q. Han, Network based robust H∞ filtering for uncertainlinear systems, IEEE Transactions on Signal Processing, vol.54, no.11,pp.4293-4301, 2006.
14. D. Yue, Q. Han and J. Lam, Network-based robust H∞ control ofsystems with uncertainty, Automatica, vol.41, no.6, pp.999-1007, 2005.
15. D. Yue, E. Tian, Y. Zhang and C. Peng, Delay-distribution- dependentstability and stabilization of TS fuzzy systems with probabilistic intervaldelay, IEEE Transactions on Systems, Man, and, Cybernetics, Part B: Cybernetics,vol.39, no.2, pp.503-516, 2008.
16. K. Gu, V. Kharitonov and J. Chen, Stability of Time-delay Systems,Birkhäuser, 2003.