Skip to main content

Feed-Forward Model Predictive Control Design Based upon a Feedback Controller

  • Chapter
  • First Online:
Blade-Pitch Control for Wind Turbine Load Reductions

Part of the book series: Springer Theses ((Springer Theses))

  • 815 Accesses

Abstract

The potential use of upcoming measureme has motivated research on preview control to improve set-point tracking and disturbance rejection beyond that achievable via conventional feedback control. Such preview controllers, typically based upon model predictive control (MPC) for its constraint handling properties, could potentially introduce an additional feedback loop that therefore alters the closed-loop dynamics of the existing feedback compensator. This can result in a deterioration of the nominal robustness properties (The robustness property here implies the robust stability margin, that is a generalisation of the gain and phase margins for multi-input-multi-output systems.) and performance of the existing closed-loop. Therefore, the aim of this chapter is to formulate a modular MPC layer on top of a given output-feedback controller, with a view to retaining the nominal closed-loop robustness and frequency-domain properties of the latter. And a key result is derived that proves that the proposed modular MPC layer for handling the advance knowledge impacts upon the existing closed-loop system if and only if constraint violations are expected. The separable nature of the proposed control structure enables clear and transparent quantification of the benefits gained by using preview control and constraint handling, beyond that of the underlying feedback compensator.

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
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

Notes

  1. 1.

    The robustness property here implies the robust stability margin, that is a generalisation of the gain and phase margins for multi-input-multi-output systems.

References

  • Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory. Society for Industrial and Applied Mathematics.

    Google Scholar 

  • Carrasco, D. S., & Goodwin, G. C. (2011a). Feedforward model predictive control. Annual Reviews in Control, 35(2), 199–206.

    Article  Google Scholar 

  • Carrasco, D. S., & Goodwin, G. C. (2011b). Preview and feedforward in model predictive control: A preliminary robustness analysis. In IFAC World Congress (Vol. 18, pp. 185–190).

    Google Scholar 

  • Clarke, D., Mohtadi, C., & Tus, P. (1987). Generalized predictive control–Part I. The basic algorithm. Automatica, 23(2), 137–148.

    Article  MATH  Google Scholar 

  • Dughman, S., & Rossiter, J. (2015). A survey of guaranteeing feasibility and stability in MPC during target changes. In IFAC ADCHEM 2015.

    Google Scholar 

  • Gilbert, E., & Tan, K. (1991). Linear systems with state and control constraints: The theory and application of maximal output admissible sets. IEEE Transactions on Automatic Control, 36(9), 1008–1020.

    Article  MathSciNet  MATH  Google Scholar 

  • Goodwin, G., Carrasco, D., & Mayne, D. (2011). Preview and feedforward in model predictive control: Conceptual and design issues. In IFAC World Congress (pp. 5555–5560).

    Google Scholar 

  • Limon, D., Alvarado, I., Alamo, T., & Camacho, E. (2008). MPC for tracking piecewise constant references for constrained linear systems. Automatica, 44(9), 2382–2387.

    Article  MathSciNet  MATH  Google Scholar 

  • Muske, K. R., & Rawlings, J. B. (1993). Model predictive control with linear models. AIChE Journal, 39, 262–287.

    Article  Google Scholar 

  • Pannocchia, G., & Rawlings, J. B. (2003). Disturbance models for offset-free model predictive control. AIChE Journal, 49(2), 426–437.

    Article  Google Scholar 

  • Pluymers, B., Rossiter, J., Suykens, J., & De Moor, B. (n.d.). The efficient computation of polyhedral invariant sets for linear systems with polytopic uncertainty. In Proceedings of the 2005, American Control Conference (pp. 804–809). IEEE.

    Google Scholar 

  • Rawlings, J. B., Bonné, D., Jørgensen, J. B., Venkat, A. N., & Jørgensen, S. B. (2008). Unreachable setpoints in model predictive control. IEEE Transactions on Automatic Control, 53(9), 2135–2141.

    Article  MathSciNet  MATH  Google Scholar 

  • Rossiter, J. A. (2003). Model-based predictive control: A practical approach. Boca Raton: CRC Press.

    Google Scholar 

  • Rossiter, J. A., & Grinnell, B. G. (1995). Extended input horizon generalized predictive control—A GPC algorithm with better tracking. In 3rd IEEE Symposium on New Directions in Control and Automation. Cyprus.

    Google Scholar 

  • Rossiter, J. A., & Grinnell, B. G. (1996). Improving the tracking of generalized predictive control controllers. In Proceedings of the Institution of Mechanical Engineers.

    Google Scholar 

  • Rossiter, J. A., Kouvaritakis, B., & Rice, M. J. (1998). A numerically robust state-space approach to stable-predictive control strategies. Automatica, 34(1), 65–73.

    Article  MathSciNet  MATH  Google Scholar 

  • Rossiter, J. A., & Valencia-Palomo, G. (2009). Feed forward design in MPC. In European Control Conference.

    Google Scholar 

  • Scokaert, P. O. M., & Rawlings, J. B. (1999). Feasibility issues in linear model predictive control. AIChE Journal, 45(8), 1649–1659.

    Article  Google Scholar 

  • Shead, L., Muske, K., & Rossiter, J. (2008). Conditions for which MPC fails to converge to the correct target. IFAC Proceedings Volumes, 41(2), 6968–6973.

    Article  Google Scholar 

  • Shead, L. R. E., Muske, K. R., & Rossiter, J. A. (2010). Conditions for which linear MPC converges to the correct target. Journal of Process Control, 20(10), 1243–1251.

    Article  Google Scholar 

  • Valencia-Palomo, G., Rossiter, J. A., & López-Estrada, F. R. (2014). Improving the feedforward compensator in predictive control for setpoint tracking. ISA Transactions, 53(3), 755–766.

    Article  Google Scholar 

  • Wang, L., & Rossiter, J. A. (2008). Disturbance rejection and set-point tracking of sinusoidal signals using generalized predictive control. In Proceedings of CDC (Vol. 1, pp. 4079–4084).

    Google Scholar 

  • Zeilinger, M. N., Morari, M., & Jones, C. N. (2014). Soft constrained model predictive control with robust stability guarantees. IEEE Transactions on Automatic Control, 59(5), 1190–1202.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wai Hou (Alan) Lio .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Lio, W. (2018). Feed-Forward Model Predictive Control Design Based upon a Feedback Controller. In: Blade-Pitch Control for Wind Turbine Load Reductions. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-75532-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-75532-8_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75531-1

  • Online ISBN: 978-3-319-75532-8

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics