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Delay-dependent robust H-infinity filtering for uncertain linear systems with time-varying interval delay

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Abstract

This paper proposed a design method for delay-dependent robust H-infinity filter of linear systems with uncertainty and time-varying interval delay. The proposed method was shown to be much simpler than existing ones while giving significant improvement to the existing results. The key step in the method was to construct a special type of Lyapunov functional for the filter design problem. Unlike the existing techniques, the proposed method employed neither free weighting matrices nor any model transformation, leading to reduced computational demand as well as improved performance. Numerical examples were given to demonstrate the effectiveness of the proposed method.

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References

  1. C. E. de Souza, K. A. Barbosa, A. T. Neto. Robust H∞ filtering for discrete-time linear systems with uncertain time-varying parameters[J]. IEEE Transactions on Signal Processing, 2006, 54(5): 2110–2118.

    Article  Google Scholar 

  2. E. Fridam, U. Shaked. An improved delay-dependent H∞ filtering of linear neutral systems[J]. IEEE Transactions on Signal Processing, 2004, 52(3): 668–673.

    Article  MathSciNet  Google Scholar 

  3. G. Feng. Robust filtering design for piecewise discrete time linear systems[J]. IEEE Transactions on Signal Processing, 2005, 53(2): 599–605.

    Article  MathSciNet  Google Scholar 

  4. H. Gao, J. Lam, C. Wang. Induced H2 and generalized H∞ filtering for systems with repeated scalar nonlinearities[J]. IEEE Transactions on Signal Processing, 2005, 53(11): 4215–4226.

    Article  MathSciNet  Google Scholar 

  5. H. Gao, C. Wang. A delay dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed system[J]. IEEE Transactions on Signal Processing, 2004, 52(6): 1631–1640.

    Article  MathSciNet  Google Scholar 

  6. Y. He, Q. Wang, C. Lin. An improved H∞ filter design for systems with time-varying interval delay[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2006, 53(11): 1235–1239.

    Article  Google Scholar 

  7. Z. Wang, J. Fang. Robust H∞ filter design with variance constraints and parabolic pole assignment[J]. IEEE Transactions on Signal Processing, 2006, 13(3): 137–140.

    Article  Google Scholar 

  8. S. Xu, T. Chen. An LMI approach to the H∞ filter design for uncertain systems with distributed delays[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2004, 51(4): 195–201.

    Article  Google Scholar 

  9. X. Jiang, Q. Han. Delay-dependent robust stability for uncertain linear systems with interval time-varying delay[J]. Automatica, 2006, 42(6): 1059–1065.

    Article  MathSciNet  MATH  Google Scholar 

  10. C. Peng, D. Yue, E. Tian, et al. Improved networke-based robust H∞ filtering for uncertain linear systems[J]. International Journal of Innovative Computing, Information and Control, 2009, 5(4): 961–970.

    Google Scholar 

  11. D. Yue, Q. Han, J. Lam. Network-based robust H∞ control of systems with uncertainty[J]. Automatica, 2005, 41(6): 999–1007.

    Article  MathSciNet  MATH  Google Scholar 

  12. D. Yue, C. Peng, G. Tang. Guaranteed cost control of linear systems over networks with state and input quantisations[J]. IEE Proceedings: Control Theory and Applications, 2006, 153(6): 658–664.

    Article  MathSciNet  Google Scholar 

  13. Y. Tian, Z. Yu, Fidge C. Multifractal nature of network induced time delay in netwo rked control systems[J]. Physics Letters A, 2007, 361(1/2): 103–107.

    Article  MATH  Google Scholar 

  14. D. Yue, Q. Han. Network-based robust H∞ filtering for uncertain linear systems[J]. IEEE Transactions on Signal Processing, 2006, 54(11): 4293–4301.

    Article  MathSciNet  Google Scholar 

  15. E. Fridman, U. Shaked. A descriptor system approach to H∞ control of linear time-delay systems[J]. IEEE Transactions on Automatic Control, 2002, 47(2): 253–270.

    Article  MathSciNet  Google Scholar 

  16. Y. S. Moon, P. Park, W. H. Kwon, et al. Delay-dependent robust stabilization of uncertain state-delayed systems[J]. International Journal of Control, 2001, 74(14): 1447–1455.

    Article  MathSciNet  Google Scholar 

  17. Y. Tipsuwan, M. Y. Chow. Gain scheduling middleware: a methodology to enable existing controllers for networked control and teleoperation — Part I: Network control[J]. IEEE Transactions on Industrial Electronics, 2004, 51(6): 1218–1227.

    Article  Google Scholar 

  18. C. Peng, Y. Tian. State feedback controller design of networked control systems with interval time-varying delay and nonlinearity[J]. International Journal of Robust and Nonlinear Control, 2008, 18(12): 1285–1301.

    Article  MathSciNet  Google Scholar 

  19. Y. Tian, M. Tadé, D. Levy, et al. Queuing packets in communication networks networked control systems[C]//Proceedings of the 6th World Congress on Intelligent Control and Automation (WCICA’06). New York: ACM, 2006: 210–214.

    Google Scholar 

  20. Q. Han. Absolute stability for time delay systems with sector-bound nonlinearity[J]. Automatica, 2005, 41(12): 2171–2176.

    Article  MathSciNet  MATH  Google Scholar 

  21. L. EI Ghaoui, F. Oustry, M. AitRami. A cone complementarity linearization algorithm for static output-feedback and related problems[J]. IEEE Transactions on Automatic Control, 1997, 42(8): 1171–1176.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing Jiangsu, 210042, China

    Chen Peng, Lingxi Pei & Jiquan Yang

Authors
  1. Chen Peng
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  2. Lingxi Pei
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  3. Jiquan Yang
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Corresponding author

Correspondence to Chen Peng.

Additional information

This work was supported by the National Natural Science Foundation of China (No.61074024) and the Natural Science Foundation of Jiangsu Province of China (No. BK2010543).

Chen PENG was born in 1972, in Jiangsu, China. He received his B.S., the M.S. and Ph.D degrees from Chinese University of Mining Technology in 1996, 1999 and 2002, respectively. He was a postdoctoral research fellow in Applied Math at the Nanjing Normal University. From November 2004 to January 2005, he was a research associate at Hong Kong University. From July 2006 to August 2007, he was a visiting scholar at Queensland University of Technology. He is currently a full professor at the Nanjing Normal University. His research interests include networked control systems, time delay systems, and fuzzy control.

Lingxi PEI received his B.S. degree in Integration of Mechanical and Electronics from the Nanjing Normal University, in 2008. He is currently a master student in the Control Theorem and Control Engineering at the Nanjing Normal University. His research interests are networked control system, and remote control system.

Jiquan YANG received his Ph.D. degree in Mechatronics from Nanjing University of Science and Technology, in 2002. He is currently working at the Institute of Information and Control Technology, Nanjing Normal University. His research interests are system design, rapid prototyping, and microelectromechanical systems.

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Peng, C., Pei, L. & Yang, J. Delay-dependent robust H-infinity filtering for uncertain linear systems with time-varying interval delay. J. Control Theory Appl. 9, 177–182 (2011). https://doi.org/10.1007/s11768-011-8230-7

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  • DOI: https://doi.org/10.1007/s11768-011-8230-7

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