Skip to main content

Predictive Controller of Mixed Logical Dynamical Systems

  • Chapter
  • First Online:
Modelling and Controlling Hydropower Plants

Abstract

This chapter commences with an introduction to mixed logical dynamical (MLD) systems and then presents a MLD model of hydroelectric stations. The MLD model and the MIMO nonlinear nonelastic model of a hydroelectric plant are compared. The behaviour of the plant under generalised predictive control with constraints (CGPC) and MLD-GPC (GPC with a MLD system as the prediction model) is analysed.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Kundur, P.: Power System Stability and Control New York. Mc Graw Hill, New York (1994)

    Google Scholar 

  2. Mansoor, S.P.: Behaviour and operation of pumped storage hydro plants. Ph.D. thesis, Bangor University, Bangor (2000)

    Google Scholar 

  3. MathWorks: Using Matlab, Version 6. MathWorks, Natick (2000)

    Google Scholar 

  4. Jones, D.I.: Estimation of power system parameters. IEEE Trans. Power Syst. 19(4), 1980–1989 (2004)

    Article  ADS  Google Scholar 

  5. Rossiter, J.A., Neal, P.W., Yao, L.: Applying predictive control to a fossil-fired power station. Trans. Inst. Meas. Control 3, 177–194 (2002)

    Article  Google Scholar 

  6. Munoz-Hernandez, G.A., Jones, D.I.: Simulation studies of a GPC controller for a hydroelectric plant. Trans. Inst. Meas. Control 29(1), 35–51 (2007)

    Article  Google Scholar 

  7. Camacho, E.F., Bordons, C.: Model Predictive Control, 2nd edn. Springer, London (2004)

    MATH  Google Scholar 

  8. Bemporad, A., Morari, M.H.: Control of systems integrating logic, dynamics, and constraints. Automatica 35, 407–427 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  9. Bemporad, A., Torrisi, F.D., Morari, M.: Performance analysis of piecewise linear systems and model predictive control systems. In: Conference on Decision and Control, pp. 4957–4962. Sydney (2000)

    Google Scholar 

  10. Witsenhausen, H.S.: A class of hybrid-state continuous-time dynamic systems. IEEE Trans. Autom. Control 11, 161–167 (1966)

    Article  Google Scholar 

  11. Branicky, M.S., Borkar, V.S., Mitter, S.K.: A unified framework for hybrid control: model and optimal control theory. IEEE Trans. Autom. Control 43, 31–45 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  12. Gollu, A., Varaiya, P.: Hybrid dynamical systems. In: 28th Conference on Decision and Control, pp. 2708–2712. Omni Press, Tampa (1989)

    Chapter  Google Scholar 

  13. Cavalier, T.M., Pardalos, P.M., Soyster, A.L.: Modelling and integer programming techniques applied to propositional calculus. Comput. Oper. Res. 17, 561–570 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  14. Williams, H.P.: Logic applied to integer programming and integer programming applied to logic. Eur. J. Oper. Res. 81, 605–616 (1995)

    Article  MATH  Google Scholar 

  15. Tyler, M.L., Morari, M.: Propositional logic in control and monitoring problems. Automatica 35, 565–582 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  16. Munoz-Hernandez, G.A., Jones, D.I., Fuentes-Goiz, S.I.: Modelling and simulation of a hydroelectric power station using MLD. In: Proceedings of the 15th International Conference on Electronics, Communications and Computers (CONIELECOMP), Cholula, Pue, Mexico, 2005

    Google Scholar 

  17. Munoz-Hernandez, G.A., Jones, D.I., Mansoor, S.P.: Evaluation of a MLD predictive control in a nonlinear model of a power station. In: IASTED Modelling ans Simulation, pp. 422–427. Cancun (2005)

    Google Scholar 

  18. Munoz-Hernandez, G.A., Gracios-Marin, C.A., Diaz-Sanchez, A., Mansoor, S.P., Jones, D.I.: Implementing a mixed logical dynamical model of a hydroelectric power station in a FPGA system. In: 2nd International Conference Internacional on Electronic Design (ICED), pp. 136–140, Veracruz (2006)

    Google Scholar 

  19. Lu, Q.: SDM hybrid control approach for nonlinear systems and application to power systems. In: International Conference on Power Control, China, pp. 19–23 (2002)

    Google Scholar 

  20. Thomas, J.J., Dumur, D., Buisson, D., Falinower, C.: Moving horizon state estimation of hybrid systems. Application to fault detection of sensors of a steam generator. In: Conference on Control Applications, pp. 1375–1380 (2003)

    Google Scholar 

  21. Mansoor, S.P., Munoz-Hernandez, G.A.: Development of gain scheduling scheme for pumped storage plant. In: IASTED International Conference on Intelligent Systems and Control, pp. 13–18, Honolulu (2006)

    Google Scholar 

  22. Ulieru, M.: Approaching intelligent control systems design. In: International Conference on Intelligent Systems for the 21st Century, pp. 563–568 (1995)

    Google Scholar 

  23. Lu, N., Chow, J.H., Desrochers, A.A.: Pumped-Storage hydro-turbine bidding strategies in a competitive electricity market. IEEE Trans. Power Syst. 19, 834–841 (2004)

    Article  Google Scholar 

  24. Pereira, M.V.F., McCoy, M.F., Merrill, H.M.: Managing risk in the new power business. IEEE Comput. Appl. Power 13, 18–24 (2000)

    Article  Google Scholar 

  25. Song, Y., Johns, A.T.: Applications of fuzzy logic in power systems. Power Eng. J. 13, 97–103 (1999)

    Article  Google Scholar 

  26. King, D.J., Bradley, D.A., Mansoor, S.P., Jones, D.I., Aris, F.C., Jones, G.R.: Using a fuzzy inference system to control a pumped storage hydro plant. IEEE Intl. Fuzzy Syst. 3, 1008–1011 (2001)

    Google Scholar 

  27. Gallestey, E., Stothert, A., Antoine, M., Morton, S.: Model predictive control and the optimization of power plant load while considering lifetime consumption. IEEE Trans. Power Syst. 186–191, 17 (2002)

    Google Scholar 

  28. Chang, G.W., Aganagic, M., Waight, J.G., Medina, J., Burton, T., Reeves, S., Christoforidis, M.: Experiences with mixed integer linear programming based approaches on short-term hydro scheduling. IEEE Trans. Power Syst. 16(4), 743–749 (2001)

    Article  Google Scholar 

  29. Qin, S.J., Badgwell, T.A.: A survey of industrial model predictive control technology. Control Eng. Pract. 11, 733–764 (2003)

    Article  Google Scholar 

  30. Bemporad, A., Morari, M., Dua, V., Pistikopoulos, E.: The explicit linear quadratic regulator for constrained systems. Automatica 38(1), 3–20 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  31. Bemporad, A., Borrelli, F., Morari, M.: Model predictive control based on linear programming-the explicit solution. IEEE Trans. Autom. Control 47(12), 1974–1985 (2002)

    Article  MathSciNet  Google Scholar 

  32. Baotic, M., Christophersen, F.J., Morari, M.: Constrained optimal control of hybrid systems with a linear performance index. IEEE Trans. Autom. Control 51(12), 1903–1919 (2006)

    Article  MathSciNet  Google Scholar 

  33. Zeilinger, M.N., Jones, C.N., Morari, M.: Real-time suboptimal model predictive control using a combination of explicit MPC and online optimization. IEEE Trans. Autom. Control 56(7) (2011)

    Google Scholar 

  34. Bleris, L.G., Kothare, M.V., Garcia, J., Arnold, M.G.: Embedded model predictive control for system-on-a-chip applications. In: 7th International Symposium on Dynamics and Control of Process Systems, Boston, MA, USA, July 2004

    Google Scholar 

  35. Ling, K.V., Yue, S.P., Maciejowski, J.M.: A FPGA implementation of model predictive control (I). In: American Control Conference, p. Paper WeC15.4, Minneapolis (2006)

    Google Scholar 

  36. Bleris, L.G., Vouzis, P.D., Arnold, M.G., Kothare, M.V.: A co-processor FPGA platform for the implementation of real-time model predictive control. In: American Control Conference, p. Paper WeC15.1, Minneapolis (2006)

    Google Scholar 

  37. Lin-Shi, X., Morel, F., Llor, A.M., Allard, B., Retif, J.M.: Implementation of hybrid control for motor drives. IEEE Trans. Ind. Electron. 54(4), 1946–1952 (2007)

    Article  Google Scholar 

  38. Naouar, M.W., Naassani, A.A., Monmasson, E., Slama-Belkhodja, I.: FPGA-based predictive current controller for synchronous machine speed drive. IEEE Trans. Power Electron. 23(4), 2115–2126 (2008)

    Article  Google Scholar 

  39. Vouzis, P.D., Bleris, L.G., Arnold, M.G., Kothare, M.V.: A system-on-a-chip implementation for embedded real-time model predictive control. IEEE Trans. Control Syst. Technol. 17(5), 1006–1017 (2009)

    Article  Google Scholar 

  40. Shoukry, Y., El-Kharashi, M.V., Hammad, S.: MPC-on-chip: an embedded GPC coprocessor for automotive active suspension systems. IEEE Embed. Syst. Lett. 2(2), 31–34 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag London

About this chapter

Cite this chapter

Munoz-Hernandez, G.A., Mansoor, S.P., Jones, D.I. (2013). Predictive Controller of Mixed Logical Dynamical Systems. In: Modelling and Controlling Hydropower Plants. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-2291-3_12

Download citation

Publish with us

Policies and ethics