Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

Gain-scheduled stabilisation of linear parameter-varying systems with time-varying input delay

Gain-scheduled stabilisation of linear parameter-varying systems with time-varying input delay

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Add to cart
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)
Add to cart

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Control Theory & Applications — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

  • Author(s): J. Wang 1 ; P. Shi 2 ; H. Gao 3 ; J. Wang 4
    • View affiliations
    • Affiliations: 1: College of Nuclear Science and Technology, Harbin Engineering University, Harbin, China
      2: Faculty of Advanced Technology, University of Glamorgan, Pontypridd, UK
      3: Space Control and Inertial Technology Research Centre, Harbin Institute of Technology, Harbin, China
      4: College of Applied Science, Harbin University of Science and Technology, Harbin, China
  • Source: Volume 1, Issue 5, September 2007, p. 1276 – 1285
    DOI:  10.1049/iet-cta:20060463 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Published

This paper deals with the problem of gain-scheduled stabilisation for linear parameter-varying systems with time-varying input delay. New delay-dependent criteria are developed based on the reduction method combined with the parameter-dependent Lyapunov approach. Sufficient conditions are presented to design gain-scheduled controllers to stabilise the closed-loop systems from past input information in terms of parameterised linear matrix inequalities (LMI). One numerical example is provided to demonstrate the effectiveness of the proposed methods.

Inspec keywords: linear matrix inequalities; linear systems; delays; control system synthesis; closed loop systems; Lyapunov methods; time-varying systems

Other keywords: time-varying input delay; linear parameter-varying system; parameter-dependent Lyapunov approach; closed-loop system; parameterised linear matrix inequality; gain-scheduled stabilisation; gain-scheduled controller design

Subjects: Time-varying control systems; Algebra; Distributed parameter control systems; Stability in control theory; Control system analysis and synthesis methods

References

    1. 1)
      • D. Yue , Q.L. Han . Delayed feedback control of uncertain systems with time-varying input delay. Automatica , 233 - 240
    2. 2)
      • X.P. Zhang , P. Rsiotras , C. Knospe . Stability analysis of LPV time-delayed systems. Int. J. Control , 538 - 558
    3. 3)
      • L. Wu , P. Shi , C. Wang , H. Gao . Delay-dependent robust H∞ and L2-L∞ filtering for LPV systems with both discrete and distributed delays. IEE Proc., Control Theory Appl. , 483 - 492
    4. 4)
      • P. Apkarian , P.C. Pellanda , H.D. Tuan . Mixed H2/H∞ multi-channel linear parameter-varying control in discrete time. Syst. Control Lett. , 333 - 346
    5. 5)
      • X.M. Zhang , M. Wu , J.H. She , Y. He . Delay-dependent stabilization of linear systems with time-varying state and input delays. Automatica , 1405 - 1412
    6. 6)
      • J.S. Shamma , M. Athans . Analysis of nonlinear gain-scheduled control systems. IEEE Trans. Autom. Control , 898 - 907
    7. 7)
      • Wang, J., Wang, C., Gao, H.: `Robust H', Proc. American Control Conf, 2004, Boston, Massachusetts, p. 3974–3979.
    8. 8)
      • Z. Zuo , Y. Wang . New stability criterion for a class of linear systems with time-varying delay and nonlinear perturbations. IEE Proc., Control Theory Appl. , 623 - 626
    9. 9)
      • F. Wu , K.M. Grigoridis . LPV systems with parameter-varying time delays: analysis and control. Automatica , 221 - 229
    10. 10)
      • Velni, J.M., Grigoriadis, K.M.: `Delay-dependent H', Proc. 2006 American Control Conf., 2006, Minneapolis, Minnesota, USA, p. 1523–1528.
    11. 11)
      • C.E. de Souza , A. Trofino . Gain-scheduled H2 controller synthesis for linear parameter varying systems via parameter-dependent Lapunov functions. Int. J. Robust Nonlinear Control , 243 - 257
    12. 12)
      • J. Wang , C. Wang , H. Gao . Improved stability criterion and controller design for time-delayed LPV systems. Control Decision , 402 - 406
    13. 13)
      • E.K. Boukas , N.F. Al-Muthairi . Delay-dependent stabilization of singular linear systems with delays. Int. J. Innov. Comput., Inf. Control , 283 - 291
    14. 14)
      • P. Shi , E.K. Boukas , R.K. Agarwal . Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Trans. Autom. Control , 2139 - 2144
    15. 15)
      • Velni, J.M., Grigoriadis, K.M.: `Delay-dependent H', Proc. 13th Mediterranean Conf. on Control and Automation, 2005, Limassol, Cyprus, p. 1538–1543.
    16. 16)
      • M.V. Basin , J. Perez , P. Acosta , L. Fridman . Optimal filtering for nonlinear polynomial systems over linear observations with delay. Int. J. Innov. Comput., Inf. Control , 863 - 874
    17. 17)
      • M. Wu , Y. He , J.-H. She , G.-P. Liu . Delay-dependent criteria for robust stability of time-varying delay systems. Automatica , 1435 - 1439
    18. 18)
      • H. Gao , C. Wang . Delay-dependent robust H∞ and L2-L∞ filtering for a class of uncertain nonlinear time-delayed systems. IEEE Trans. Autom. Control , 1661 - 1666
    19. 19)
      • Y. He , M. Wu , J.H. She , G.P. Liu . Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties. IEEE Trans. Autom. Control , 828 - 832
    20. 20)
      • I. Fialho , G.J. Balas . Road adaptive active suspension design using linear parameter-varying gain-scheduling. IEEE Trans. Control Syst. Technol. , 43 - 54
    21. 21)
      • P. Apkarian , P. Gahinet . A convex characterization of gain-scheduled. IEEE Trans. Autom. Control , 853 - 864
    22. 22)
      • Y. Niu , D.W.C. Ho , J. Lam . Robust integral sliding mode control for uncertain stochastic systems with time-varying delay. Automatica , 873 - 880
    23. 23)
      • E. Fridman , U. Shaked . Parameter dependent stability and stabilization of uncertain time-delays systems. IEEE Trans. Autom. Control , 861 - 866
    24. 24)
      • P. Hingwe , H.-S. Tan , A.K. Packard , M. Tomizuka . Linear parameter varying controller for automated lane guidance: experimental study on tractor-trailers. IEEE Trans. Control Syst. Technol. , 793 - 806
    25. 25)
      • J.K. Hale , S.M. Verduyn Lunel . (1993) Introduction to functional differential equations’, ‘Applied mathematical sciences.
    26. 26)
      • M.-K. Kim , M.H. Shin , M.J. Chung . Again-scheduled L2 control to nuclear steam generator water level. Annals Nuclear Energy , 905 - 916
    27. 27)
      • J.H. Park . Design of dynamic controller for neutral differential systems with delay in control input. Chaos, Solitions Fractals , 503 - 509
    28. 28)
      • M.S. Mahmoud , P. Shi . Robust stability, stabilization and H∞ control of time-delay systems with Markovian jump parameters. Int. J. Robust Nonlinear Control , 755 - 784
    29. 29)
      • S. Xu , J. Lam . Improved delay-dependent stabily criteria for time-delay systems. IEEE Trans. Autom. Control , 384 - 387
    30. 30)
      • Y. He , M. Wu , J.H. She , G.P. Liu . Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. Syst. Control Lett. , 57 - 65
    31. 31)
      • Y.S. Moon , P. Park , W.H. Kwon . Robust stabilization of uncertain input-delayed systems using reduction method. Automatica , 307 - 312
    32. 32)
      • P. Apkarian , R.J. Adams . Advanced gain-scheduling techniques for uncertain systems. IEEE Trans. Control Syst. Technol. , 21 - 32
    33. 33)
      • M. Chen , J. Lam , S. Xu . Memory state feedback guaranteed cost control for neutral delay systems. Int. J. Innov. Comput., Inf. Control , 293 - 303
    34. 34)
      • D. Yue , J. Lams . Stabilising controller design for uncertain systems with time-varying input delay. IEE Proc., Control Theory Appl. , 699 - 705
    35. 35)
      • D. Yue . Robust stabilization of uncertain systems with unknown input delay. Automatica , 331 - 336
    36. 36)
      • P. Shi , E.K. Boukas , Y. Shi , R.K. Agarwal . Optimal guaranteed cost control of uncertain discrete time-delay systems. J. Comput. Appl. Math. , 435 - 451
    37. 37)
      • H. Gao , C. Wang , L. Zhao . A delay-dependent approach to robust H∞ filtering for uncertain discrete-time state-delayed systems. IEEE Trans. Signal Process. , 1631 - 1640
    38. 38)
      • K. Tan , K.M. Grigoriadis , F. Wu . H2 and L2-L∞ gain control of linear parameter-varying systems with parameter-varying delays. IEE Proc., Control Theory Appl. , 509 - 517
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta_20060463
Loading

Related content

content/journals/10.1049/iet-cta_20060463
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
Print this page
This is a required field
Please enter a valid email address