http://iet.metastore.ingenta.com
1887

Repetitive controller for time-delay systems based on disturbance observer

Repetitive controller for time-delay systems based on disturbance observer

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

Buy article PDF
$19.95
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

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.

A novel continuous time repetitive control design is presented for time-delay systems with periodic references and disturbances. Taking profit of the system model and an appropriate time-delay, an inner positive feedback loop is constructed to establish an internal model for periodic signals, and a simple proportional control is utilised in the outer feedback loop to stabilise the closed-loop system. Thus, the tracking capability can be guaranteed according to internal model principle. In addition, to compensate for the effect of external periodic disturbances, a disturbance observer using the system model and a model-based compensator is introduced inside the proposed internal model such that the tracking and disturbance rejection can be achieved simultaneously. Sufficient stability conditions and the robustness analysis under modelling uncertainties are all studied. Only two parameters are needed to be chosen by the designer. Numerical examples and practical experiments on a motor control system are included to illustrate the feasibility and simplicity of the proposed methods.

References

    1. 1)
      • J.E. Normey-Rico , E.F. Camacho . Unified approach for robust dead-time compensators design. J. Proc. Control , 1 , 38 - 47
    2. 2)
      • J.P. Richard . Time-delay systems: an overview of some recent advances and open problems. Automatica , 10 , 1667 - 1694
    3. 3)
      • K. Gu , V.L. Kharitonov , J. Chen . (2003) Stability of time-delay systems.
    4. 4)
      • M.S. Mahmoud . (2000) Robust control and filtering for time-delay systems.
    5. 5)
      • C.C. Hua , X.P. Guan , G. Feng . Robust stabilisation for a class of time-delay systems with triangular structure. IET Control Theory Appl. , 4 , 875 - 879
    6. 6)
      • J. Wang , P. Shi , H. Gao , J. Wang . Gain-scheduled stabilisation of linear parameter-varying systems with time-varying input delay. IET Control Theory Appl. , 5 , 1276 - 1285
    7. 7)
      • J.H. Park , S. Won . A note on stability of neutral delay-differential systems. J. Franklin Inst. , 3 , 543 - 548
    8. 8)
      • J.H. Park , S. Won . Asymptotic stability of neutral systems with multiple delays. J. Optim. Theory Appl. , 1 , 183 - 200
    9. 9)
      • J.H. Park . Design of dynamic output feedback controller for a class of neutral systems with discrete and distributed delays. IEE Proc. Control Theory Appl. , 5 , 610 - 614
    10. 10)
      • O. Smith . Closer control of loops with dead time. Chem. Eng. Prog. , 5 , 217 - 219
    11. 11)
      • Z.J. Palmor , M. Blau . An auto-tuner for smith dead time compensator. Int. J. Control , 1 , 117 - 135
    12. 12)
      • W.D. Zhang , Y.X. Sun , X.M. Xu . Two degree-of-freedom smith predictor for processes with time delay. Automatica , 10 , 1279 - 1282
    13. 13)
      • Q.G. Wang , Q. Bi , Y. Zhang . Re-design of smith predictor systems for performance enhancement. ISA Trans. , 1 , 79 - 92
    14. 14)
      • A.B. Rad , W.L. Lo , K.M. Tsang . Adaptive time-delay controller. IEEE Trans. Ind. Electr. , 6 , 1350 - 1353
    15. 15)
      • J.E. Normey-Rico , E.F. Camacho . Dead-time compensators: a survey. Control Eng. Pract. , 4 , 407 - 428
    16. 16)
      • J.E. Normey-Rico , E.F. Camacho . (2007) Control of dead-time process.
    17. 17)
      • Q.C. Zhong , J.E. Normey-Rico . Control of integral processes with dead-time part 1: disturbance observer-based 2DOF control scheme. IEE Proc. Control Theory Appl. , 4 , 85 - 290
    18. 18)
      • R. Costa-Castelló , J. Nebot , R. Griñó . Demonstration of the internal model principle by digital repetitive control of an educational laboratory plant. IEEE Trans. Educ. , 1 , 73 - 80
    19. 19)
      • K.K. Chew , M. Tomizuka . Digital control of repetitive errors in disk drive systems. IEEE Trans. Control Syst. Mag. , 1 , 16 - 19
    20. 20)
      • T.Y. Doh , J.R. Ryoo , M.J. Chung . Design of a repetitive controller: an application to the track-following servo system of optical disk drives. IEE Proc. Control Theory Appl. , 3 , 323 - 330
    21. 21)
      • K. Zhou , D. Wang . Digital repetitive learning controller for three-phase CVCF PWM inverter. IEEE Trans. Ind. Electr. , 4 , 820 - 830
    22. 22)
      • R. Griñó , R. Cardoner , R. Costa-Castelló , E. Fossas . Digital repetitive control of a three-phase four-wire shunt active filter. IEEE Trans. Ind. Electr. , 3 , 1495 - 1503
    23. 23)
      • B.A. Francis , W.M. Wonham . The internal model principle of control theory. Automatica , 5 , 457 - 465
    24. 24)
      • S. Hara , Y. Yamamoto , T. Omata , M. Nakano . Repetitive control system: a new type servo system for periodic exogenous signals. IEEE Trans. Autom. Control , 7 , 659 - 668
    25. 25)
      • Tsao, T.C., Tomizuka, M.: `Adaptive and repetitive digital control algorithms for noncircular machining', Proc. American Control Conf., 1988, Atlanta, GA, p. 115–120.
    26. 26)
      • M. Tomizuka , T.C. Tsao , K.K. Chew . Analysis and synthesis of discrete-time repetitive controllers. ASME J. Dyn. Syst., Meas., Control , 3 , 353 - 358
    27. 27)
      • T.C. Tsao , M. Tomizuka . Robust adaptive and repetitive digital tracking control and application to a hydraulic servo for noncircular machining. ASME J. Dyn. Syst., Meas., Control , 1 , 24 - 32
    28. 28)
      • T.Y. Doh , M.J. Chung . Repetitive control design for linear systems with time-varying uncertainties. IEE Proc. Control Theory Appl. , 4 , 427 - 432
    29. 29)
      • R. Griñó , R. Cardoner , R. Costa-Castelló . Digital repetitive plug-in controller for odd-harmonic periodic references and disturbances. Automatica , 1 , 153 - 157
    30. 30)
      • N. Olgac , B.T. Holm-Hansen . A novel active vibration absorption technique: delayed resonator. J. Sound Vibr. , 1 , 93 - 104
    31. 31)
      • N. Olgac , H. Elmali . Analysis and design of delayed resonator in discrete domain. J. Vibr. Control , 2 , 273 - 289
    32. 32)
      • Watanabe, K., Yamada, K.: `Repetitive control of time-delay systems', Proc. 29th IEEE Conf. Dec. Control, 1990, Honolulu, USA, p. 1685–1690.
    33. 33)
      • J.D. Álvarez , L.J. Yebra , M. Berenguel . Repetitive control of tubular heat exchangers. J. Proc. Control , 9 , 689 - 701
    34. 34)
      • K.K. Tan , K.Y. Chua , S. Zhao , S. Yang , M.T. Tham . Repetitive control approach towards automatic tuning of smith predictor controllers. ISA Trans. , 1 , 16 - 23
    35. 35)
      • K.K. Tan , S. Zhao , S. Huang , T.H. Lee , A. Tay . A new repetitive control for LTI systems with input delay. J. Proc. Control , 9 , 711 - 716
    36. 36)
      • D. Meng , Y. Jia , J. Du , S. Yuan . Feedback approach to design fast iterative learning controller for a class of time-delay systems. IET Control Theory Appl. , 2 , 225 - 238
    37. 37)
      • Yamamoto, Y.: `Learning control and related problems in infinite dimensional systems', Proc. 2nd European Control Conf., 1993, Groningen, Netherlands, p. 191–222.
    38. 38)
      • H.K. Khalil . (1988) Nonlinear systems.
    39. 39)
      • R.E. Thomas , A.J. Rosa . (1994) The analysis and design of linear circuits.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0411
Loading

Related content

content/journals/10.1049/iet-cta.2009.0411
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
This is a required field
Please enter a valid email address