Skip to main content

Adaptive Control Systems

  • Chapter
Discrete Systems

Part of the book series: Communications and Control Engineering Series ((CCE))

  • 167 Accesses

Abstract

In many industrial and process control applications, the use of high-performance control systems is very desirable. Usually the plant parameters are poorly known or vary during normal operation, and this must be taken into consideration when designing and implementing feedback controllers. The problem of self-adjusting the parameters of a controller in order to stabilize the dynamic characteristics of a feedback control system when the plant parameters undergo large and unpredictable variations, has led to the development of adaptive control techniques [1–6]. Many solutions have been proposed over the past two decades in order to make a control system “adaptive” (that is, to assure high performance when large and unpredictable variations of the plant dynamic characteristics take place). In some sense, the problem can be viewed as “combined identification and control” of a particular system configuration.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Donalson, D.D. and F.M. Kishi “Review of Adaptive Control System Theories and Techniques”, in Modern Control Systems Theory: edited by C.T. Leondes, vol. 2, McGraw-Hill, N.Y. pp. 228–284, 1965.

    Google Scholar 

  2. Tsypkin, Y.Z. “Adaptation and Learning in Automatic Systems”, Academic Press, N.Y., 1971.

    Google Scholar 

  3. Davies, W.D.T. “System Identification for Self-Adaptive Control”, Wiley, N.Y., 1970.

    MATH  Google Scholar 

  4. Landau, I.E. “A Survey of Model Reference Adaptive Techniques: Theyory and Applications”, Automatica, vol. 10, pp. 353–379, 1974.

    Article  MATH  Google Scholar 

  5. Astrom, K.J., U. Borisson, L. Ljung and B. Wittenmark “Theory and Applications of Self-Tuning Regulators”, Automatica, vol. 13, pp. 457–476, 1977.

    Article  Google Scholar 

  6. Landau, I.D. “Adaptive Control: The Model Reference Approach”, Marcel Dekker, Inc., N.Y., 1979.

    MATH  Google Scholar 

  7. Astrom, K.J. and P. Eykoff “System Identification: A Survey”, Automatica, vol. 7, pp. 123–162, 1972.

    Article  Google Scholar 

  8. Landau, I.D. “Design of Discrete Model Reference Adaptive Systems Using the Positivity Concept”, Proceedings of the Third IFAC Symposium on Sensitivity, Adaptivity and Optimality Italy, pp. 307–314, 1973.

    Google Scholar 

  9. Egardt, B.“Unification of Some Discrete-Time Adaptive Control Schemes”, IEEE Trans. Automat. Control, vol. AC-25, pp. 693–697, 1980.

    Google Scholar 

  10. Popov, V.M. “Hyperstability of Control Systems”, Springer-Verlag, N.Y., 1973.

    MATH  Google Scholar 

  11. Serdyukov, V.A. “Synthesis of a Generalized Adaptation Algorithm for a Non-search Self-adjusting System with Reference Model”, Autom. Remote Control, vol. 31, pp. 1078–1084, 1970.

    Google Scholar 

  12. Pearson, A.E. and V.R. Vanguir “A Synthesis Procedure for Parameter Adaptive Control Systems”, IEEE Trans. Autom. Control, vol. AC-16, pp. 440–449, 1971.

    Google Scholar 

  13. Lindorff, D.P. and R.L. Caroll “Survey of Adaptive Control Using Lyapunov Design”, Int. J. Control, vol. 18, pp. 897–914, 1973.

    Article  MATH  Google Scholar 

  14. Narendra, K.S. and P. Kudva “Stable Adaptive Schemes for System Identification and Control: Parts I and II”, IEEE Trans. System, Man and Cybernetics, vol. SMC-4, pp. 542–560, 1974.

    Google Scholar 

  15. Ionescu, T. and R. Monopoli “Discrete Model Reference Adaptive Control with an Augmented Error Signal”, Automatica, vol. 13, pp. 507–518, 1977.

    Article  MATH  Google Scholar 

  16. Landau, I.D. “Unbiased Recursive Identification Using Model Reference Adaptive Techniques”, IEEE Trans. Autom. Control, vol. AC-21, pp. 200–206, 1976.

    Google Scholar 

  17. Lozano, R. and I.D. Landau “Redesign of Explicit and Implicit Discrete Time Model Reference Adaptive Control Schemes”, Int. J. Control, vol. 33, pp. 247–268, 1981.

    Article  MATH  Google Scholar 

  18. Landau, I.D. and R. Lozano “Unification of Discrete Time Explicit Model Reference Adaptive Control Designs”, Automatica, vol. 17, pp. 593–611, 1981.

    Article  MATH  MathSciNet  Google Scholar 

  19. Subbayyan, R. and R. Nagarajan “A Discrete-Time Model Reference Adaptive Control Scheme with Reduced On-line Computations”, Int. J. Control, vol. 30, pp. 121–127, 1979.

    Article  MATH  Google Scholar 

  20. Gellman, R.E. “Matrix Analysis”, McGraw-Hill, N.Y., 1970.

    Google Scholar 

  21. Anderson, B.D.O. and S. Synthesis Vongpanitlerd Network Analysis and Synthesis: A Modern Systems Approach“, Prentice-Hall, N.J., 1972.

    Google Scholar 

  22. Hitz, L. and B.D.O. Anderson “Discrete Positive Real Functions and Their Application to System Stability”, Proc. IEEE, vol. 116, pp. 153–155, 1969.

    MathSciNet  Google Scholar 

  23. Ionescu, T. “Hyperstability of Linear Time-varying Discrete Systems”, IEEE Trans. Autom. Control, vol. AC-15, pp. 645–647, 1970.

    Google Scholar 

  24. Erzberger, H. “Analysis and Design of Model-Following Systems by State-Space Techniques”, Proc. JACC, Ann Arbor, pp. 572–581, 1968.

    Google Scholar 

  25. Chen, Y.T. “Perfect Model Following with a Real Model”, Proc. JACC, Paper 10–5, 1973.

    Google Scholar 

  26. Morse, A.S. “Structure and Design of Linear Model Following Control Systems”, IEEE Trans. Autom,. Control, vol. AC-18, pp. 346–354, 1973.

    Google Scholar 

  27. Wolovich, W.A. “The Use of State Feedback for Exact Model Matching”, SIAM J. Control, vol. 10, pp. 512–523, 1972.

    MATH  MathSciNet  Google Scholar 

  28. Wang, S.H. and C.A. Desoer “The Exact Model Matching of Linear Multivariable Systems”, IEEE Trans. Autom. Control, vol. AC-17, pp. 347–349, 1972.

    Google Scholar 

  29. Schneider, H. and G.P. Earner “Matrices and Linear Algebra”, Holt, Rienhart and Winston, N.Y., 1968.

    Google Scholar 

  30. Landau, I.D. and B. Courtiol “Design of Multivariable Adaptive Model-following Control Systems”, Automatica, vol. 10, pp. 483–494, 1974.

    Article  MATH  Google Scholar 

  31. Bethoux, G. and B. Courtiol “A Eyperstable Discrete Model Reference Adaptive Control System”, Proceedings of the Third IFAC Symposium on Sensitivity, Adaptivity and Optimality, Italy, pp. 282–289, 1973.

    Google Scholar 

  32. Borison, U. “Self-Tuning Regulators for a Class of Multivariable Systems”, Automatica, vol. 15, pp. 209–215, 1979.

    Article  MATH  Google Scholar 

  33. Clarke, D.W. and P.J. Gawthrop “Self-Tuning Controller”, Proc. IEE, vol. 122, pp. 929–934, 1975.

    Article  Google Scholar 

  34. Gawthrop, P.J. “Some Interpretations of the Self-tuning Controller”, Proc. IEE, vol. 124, pp. 889–894, 1977.

    Article  Google Scholar 

  35. Wellstead, P.E., J.M. Edmunds, D. Prager and P. Zanker “Self-Tuning Pole/Zero Assignment Regulators”, Int. J. Control, vol. 30, pp. 1–26, 1979.

    Article  MATH  Google Scholar 

  36. Wellstead, P.E., D. Prager and P. Zanker “Pole Assignment Self-Tuning Regulator”, Proc. IEE, vol. 126, pp. 781–787, 1979.

    Article  Google Scholar 

  37. Prager, D. and P.E. Wellstead “Multivariable Pole-Assignment Self-Tuning Regulators”, Proc. IEE, vol. 127, pp. 9–18, 1980.

    Google Scholar 

  38. Tsay, Y.T. and L.S. Shieh “State-Space Approach for Self-Tuning Feedback Control with Pole Assignment”, Proc. IEE, vol. 128, pp. 93–101, 1981.

    MathSciNet  Google Scholar 

  39. Astrom, K.J. and B. Wittenmark “On Self-Tuning Regulators”, Automatica, vol. 9, pp. 185–199, 1973.

    Article  Google Scholar 

  40. Wittenmark, B. “Stochastic Adaptive Control Methods: A Survey”, Int. J. Control, vol. 21, pp. 705–731, 1975.

    Article  MATH  MathSciNet  Google Scholar 

  41. Astrom, K.J. “Introduction to Stochastic Control Theory”, Academic Press, N.Y., 1970.

    Google Scholar 

  42. Peterka, V. “On Steady State Minimum Variance Control Strategy”, Kybernetica, vol. 8, pp. 219–231, 1972.

    MATH  MathSciNet  Google Scholar 

  43. Ljung, L. and I.D. Landau “Model Reference Adaptive Systems and Self-Tuning Regulators–Some Connections”, Proc. 7th IFAC World Congress, Helsinki, pp. 1973–1980, 1978.

    Google Scholar 

  44. Astrom, K.J., B. Westerberg and B. Wittenmark “Self-Tuning Controllers Based on Pole-Placement Design”, Dept. Automat. Contr., Lund Inst. Technol., Lund, Sweden, CODEN:LUTFD2/(TERT-3148)/1–52/(1978), 1978.

    Google Scholar 

  45. Kailath, T. “Linear Systems”, Prentice-Hall, N.J., 1980.

    MATH  Google Scholar 

  46. Ljung, L. “Convergence Analysis of Parameter Identification Methods”, IEEE Trans. Autom. Contr., vol. AC-25, pp. 770–783, 1978.

    Google Scholar 

  47. Koivo, E. “A Multivariable Self-Tuning Controller”, Automatica, vol. 16, pp. 351–362, 1980.

    Article  MATH  MathSciNet  Google Scholar 

  48. Landau, I.D. “Combining Model Reference Adaptive Controllers and Stochastic Self-Tuning Regulators”, Automatica, vol. 18, pp. 77–84, 1982.

    Article  MATH  Google Scholar 

  49. Bayoumi, M.M., K.Y. Wong and M.A. El-Bagoury “A Self-Tuning Regulator for Multivariable Systems”, Automatica, vol. 17, pp. 575–592, 1981.

    Article  MATH  MathSciNet  Google Scholar 

  50. Allidina, A.Y. and F.M. Hughes “Self-Tuning Controllers for Deterministic Systems”, Int. J. Control, vol. 37, pp. 831–841, 1983.

    Article  MATH  Google Scholar 

  51. Allidina, A.Y., F.M. Hughes and C. Tye “Self-Tuning Control for Systems Employing Feedforward”, Proc. IEE, vol. 128, pp. 283–291, 1981.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin, Heidelberg

About this chapter

Cite this chapter

Mahmoud, M.S., Singh, M.G. (1984). Adaptive Control Systems. In: Discrete Systems. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82327-5_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82327-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82329-9

  • Online ISBN: 978-3-642-82327-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics