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Extended Strategy of Predictive Control

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Part of the book series: Advances in Industrial Control ((AIC))

Abstract

This chapter develops the extended strategy of predictive control. This strategy is based on the evaluation at each control instant of the various sequences of input/output process variables which can be predicted within a prediction horizon. This horizon is extended to a certain control period interval, and is redefined at each control instant. To serve as examples for this evaluation, linear quadratic indices and indices with a predicted control sequence in the form of step, are considered. The capability of the extended strategy to control unstable inverse processes and its stability and robustness properties in the presence of modeling errors, are analyzed and illustrated by means of various examples. In addition, the significance of the principal design parameters, in particular, the length of the prediction horizon, is considered.

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References

  1. Allgower F, Zheng A (2000) Nonlinear model predictive control. Birkhausser, Switzerland

    Book  Google Scholar 

  2. Bitmead RR, Gevers M, Wertz V (1990) Adaptive optimal control. Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  3. Camacho EF, Bordons C (1995) Model predictive control in the process industry. Springer, Berlin

    Book  Google Scholar 

  4. Clarke DW, Mohtadi C (1987) Properties of generalized predictive control. In: Proceedings of the 10th IFAC World Congress, vol 10. Munich, pp 63–74

    Google Scholar 

  5. Clarke DW, Mohtadi C, Tuffs PS (1987) Generalized predictive control. Parts i and ii. Automatica 23:137–160

    MATH  Google Scholar 

  6. Clough RW, Penzien J (1975) Dynamics of structures. McGraw Hill, New York

    MATH  Google Scholar 

  7. Cutler CR, Ramaker BL (1980) Dynamic matrix control: a computer control algorithm. In: Proceedings of Joint Automatic Control Conference, San Francisco

    Google Scholar 

  8. Chen CC, Shaw L (1982) On receding horizon control. Automatica 18:349–352

    Article  MATH  MathSciNet  Google Scholar 

  9. De Keyser RM, Van Cauwenberghe AR (1985) Extended prediction self-adaptive control. In: Proceedings of 7th IFAC Symposium on Identification and Control

    Google Scholar 

  10. De Keyser RM, VandeVelde PG, Dumoriter FA (1985) A comparative study of self-adaptive long-range predictive control methods. Proceedings of 7th IFAC Symposium on Identification and Control. York, UK, pp 1317–1322

    Google Scholar 

  11. García CE, Morari M (1982) Internal model control. Part 1: a unifying review and some new results. Ind Eng Chem Process Des Dev 21:308–323

    Article  Google Scholar 

  12. Greco C, Menga G, Mosca E, Zappa G (1984) Performance improvements of self-tuning controllers by multistep horizons: the musmar approach. Automatica 20:681–699

    Article  MATH  MathSciNet  Google Scholar 

  13. García CE, Prett DM, Morari M (1989) Model predictive control: theory and practice; a survey. Automatica 25:335–348

    Article  MATH  Google Scholar 

  14. Grimble MJ (1993) Long range predictive optimal control law with guaranteed stability for process control applications. J Dyn Syst Meas Contr 115:600–610

    Article  MATH  Google Scholar 

  15. Gorez R, Wertz V, Kuan-Yi Z (1987) On a generalized predictive control algorithm. Syst Control Lett 9:369–377

    Article  MATH  Google Scholar 

  16. Henson MA (1998) Nonlinear model predictive control: current status and the future directions. Comput Chem Eng 23:187–202

    Article  Google Scholar 

  17. Irving E, Falinower CM, Fonte C (1986) Adaptive generalized predictive control with multiple reference model. In: Proceedings of 2nd IFAC Workshop on Adaptive Systems in Control and Signal Processing, Lund

    Google Scholar 

  18. Keerthi SS, Gilbert EG (1988) Optimal infinite-horizon feedback laws for a general class of constrained discrete time systems: stability and moving horizon approximations. J Optim Theory Appl 57:265–293

    Article  MATH  MathSciNet  Google Scholar 

  19. Kramer K, Unbehauen H (1988) Survey to adaptive long-range predictive control. In: Proceedings of 12th IMACS World Congress on Scientific Computation, vol 1. Paris, pp 358–363

    Google Scholar 

  20. Kwon WH, Pearson AE (1977) A modified quadratic cost problem and feedback stabilization of a linear system. IEEE Trans Autom Control AC-22:838–842

    Google Scholar 

  21. Kwon WH, Pearson AE (1978) On feedback stabilization of time varying discrete linear systems. IEEE Trans Autom Control AC-23:479–481

    Google Scholar 

  22. Kwakernaak H, Sivan R (1972) Linear optical control systems. Wiley, New York

    Google Scholar 

  23. Lee KS, Lee W (1983) Extended discrete time multivariable adaptive control using long term predictor. Int J Control 38:495–514

    Article  MATH  Google Scholar 

  24. Maciejowski JM (2002) Predictive control with constraints. Prentice Hall, London

    Google Scholar 

  25. Martín-Sánchez J M (1974) Contribución a los sistemas adaptativos con modelo de referencia a partir de la teoria de la hiperestabilidad. Ph.D. thesis, Universidad Politécnica de Catalunya, Barcelona, Spain

    Google Scholar 

  26. Martín-Sánchez J M (1976) Adaptive predictive control system. US Patent No. 4, 197, 576

    Google Scholar 

  27. Martín-Sánchez JM (1977) Reply to comments on “A new solution to adaptive control”. Proc IEEE 65:587–588

    Article  Google Scholar 

  28. Martín-Sánchez JM (1980) Adaptive predictive control system (CIP). European Patent No. 0037579

    Google Scholar 

  29. Maurath PR, Mellichamp DA, Seborg DE (1988) Predictive controller design for single-input single-output (siso) systems. Ind Eng Chem Res 27:956–963

    Article  Google Scholar 

  30. Mayne DQ, Michalska H (1990) Receding horizon control of nonlinear systems. IEEE Trans Autom Control AC-35:814–824

    Google Scholar 

  31. Mayne DQ, Michalska H (1991) Robust receding horizon. In: Proceedings of 30th IEEE Conference on Decision and Control, Brighton, pp 64–69

    Google Scholar 

  32. Meirovitch L (1990) Dynamics and control of structures. Wiley, New York

    Google Scholar 

  33. Morari M, García CE (1984) Internal model control. In: Proceedings of American Control Conference, San Diego, pp 661–667

    Google Scholar 

  34. Morari M, García CE, Prett DM, Lee JH (1993) Model predictive control. Prentice Hall, Englewood Cliffs

    Google Scholar 

  35. Morari M, Lee JH (1999) Model predictive control: past, present and future. Comput Chem Eng 23:667–682

    Article  Google Scholar 

  36. Mosca E (1994) Optimal, predictive and adaptive control. Prentice Hall, Englewood Cliffs

    Google Scholar 

  37. Martín-Sánchez JM, Rodellar J (1996) Adaptive predictive control: from the concepts to plant optimization. Prentice Hall, Englewood Cliffs

    Google Scholar 

  38. Mehra RK, Rouhani J, Eterno J, Richalet J, Rault A (1982) Model algorithmic control: review and recent developments. In: Engineering Foundation Conference on Chemical Process Control, Georgia, pp 287–310

    Google Scholar 

  39. Mosca E, Zappa G, Lemos JM (1989) Robustness of multipredictor adaptive regulators: Musmar. Automatica 25(4):521–529

    Article  MATH  MathSciNet  Google Scholar 

  40. Mosca E, Zappa G, Manfredi C (1984) Multistep horizon self-tuning control: the musmar approach. In: Preprints of the 9th IFAC World Congress, Budapest, pp 935–939

    Google Scholar 

  41. Peterka V (1984) Predictor-based self-tuning control. Automatica 20(1):39–50

    Article  MATH  Google Scholar 

  42. Peterka V (1990) Predictive and lqg optimal control: equivalences, differences and improvements. Control of uncertain systems. In: Hinrichsen D, Martenson BM (eds) Birkauser, Boston, pp 221–244

    Google Scholar 

  43. Prett DM, Gillette RD (1980) Optimization and constrained multivariable control of a catalytic cracking unit. In: Proceedings of Joint Automatic Control Conference, San Francisco

    Google Scholar 

  44. Qin SJ, Badgwell TA (1996) An overview of industiral model predictive control technology. In: Proceedings of Fifth International Conference on Chemical Process Control, No. 316 in AIChE Symposium Series, Tahoe City, pp 232–256

    Google Scholar 

  45. Rodellar J, Barbat AH, Martín-Sánchez JM (1987) Predictive control of structures. J Eng Mech 113(6):797–812

    Article  Google Scholar 

  46. Rodellar J, Gómez M, Martín Vide P (1989) Stable predictive control of open-channel flow. J Irrigation Drainage Eng 115(4):701–713

    Article  Google Scholar 

  47. Richalet JA (1993) Industrial applications of model based predictive control. Automatica 29(8):1251–1274

    Article  MathSciNet  Google Scholar 

  48. Rouhani R, Mehra RK (1982) Model algorithmic control (mac); basic theoretical properties. Automatica 18(4):401–414

    Article  MATH  Google Scholar 

  49. Rodellar J (1982) Diseño Optimo del Bloque de Consigna en el Sistema de Control Adaptativo Predictivo. Ph.D. thesis, Universidad de Barcelona

    Google Scholar 

  50. Richalet JA, Rault JL, Testud JL, Papon J (1978) Model predictive heuristic control: applications to an industrial process. Automatica 15:413–428

    Article  Google Scholar 

  51. Soeterboek R (1992) Predictive control. A unified approach, Prentice Hall, Englewood Cliffs

    MATH  Google Scholar 

  52. Sage AP, White CC (1977) Optimum system control. Prentice Hall, Englewood Cliffs

    Google Scholar 

  53. Tsang TTC, Clarke DW (1988) Generalized predictive control with input constraints. Proc IEEE 135(D):451–460

    Google Scholar 

  54. Thomas YA (1975) Linear quadratic optimal estimation and control with receding horizon. Electron Lett 11:19–21

    Article  Google Scholar 

  55. Ydstie BE (1984) Extended horizon adaptive control. Preprints of the 9th IFAC World Congress, vol VII, Budapest, pp 133–137

    Google Scholar 

  56. Ydstie BE, Kershenbaum LS, Sargent RWH (1985) Theory and application of an extended horizon self-tuning controller. AICHE J 31:1771–1780

    Article  Google Scholar 

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Correspondence to Juan M. Martín-Sánchez .

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Martín-Sánchez, J.M., Rodellar, J. (2015). Extended Strategy of Predictive Control. In: ADEX Optimized Adaptive Controllers and Systems. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-09794-7_4

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  • DOI: https://doi.org/10.1007/978-3-319-09794-7_4

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