Skip to main content
SpringerLink
Log in
Book cover

Model Predictive Control pp 51–57Cite as

Predictive Functional Control Based on Extended Non-minimal State Space Model

  • Chapter
  • First Online:

Abstract

It is a fact that the computational complexity of PFC is smaller than that of other MPC algorithms, so it draws a lot of attention from various industries, especially for those fast process systems(Bigdeli and Haeri in ISA Transactions 48: 107–121, [1]: Skrjanc in Journal of Intelligent and Robotic Systems 48: 115–127, [2]; Tian et al. in Proceedings of The Institution of Mechanical Engineers part G-Journal of Aerospace Engineering 230: 1943–1963 {3]).

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

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 EPUB and 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
Hardcover Book
USD   109.99
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

Learn about institutional subscriptions

References

  1. Bigdeli, N., & Haeri, M. (2009). Predictive functional control for active queue management in congested TCP/IP networks. ISA Transactions, 48(1), 107–121.

    Article  Google Scholar 

  2. Skrjanc, I. (2007). A decomposed-model predictive functional control approach to air-vehicle pitch-angle control. Journal of Intelligent and Robotic Systems, 48(1), 115–127.

    Article  Google Scholar 

  3. Tian, J. Y., Zhang, S. F., Zhang, Y. H., Li, T., & Yang, H. B. (2016). Enhanced predictive functional control based on equivalent input disturbance and generalized extended state observer for nonlinear systems with fast dynamics. Proceedings of The Institution of Mechanical Engineers part G-Journal of Aerospace Engineering, 230(10), 1943–1963.

    Article  Google Scholar 

  4. Khadir, M. T., & Ringwood, J. V. (2008). Extension of first order predictive functional controllers to handle higher order internal models. International Journal of Applied Mathematics and Computer Science, 18(2), 229–239.

    Article  MathSciNet  Google Scholar 

  5. Zou, Z. Y., Zhao, D. D., Huang, Y., Pan, Y. S., Guo, Y. Q., Yu, M. (2013). Design of a new predictive functional control algorithm based on linear difference equation model. In Proceedings of the 2013 Fourth International Conference on Intelligent Control and Information Processing (ICICIP) (pp. 661–665).

    Google Scholar 

  6. Wang, L. P., Young, P. C., Gawthrop, P. J., & Taylor, C. J. (2009). Non-minimal state-space model-based continuous-time model predictive control with constraints. International Journal of Control, 82(6), 1122–1137.

    Article  MathSciNet  Google Scholar 

  7. Zhang, J. M. (2014). A non-minimal state space formulation based predictive functional control design for inverse-response processes. Chemometrics and Intelligent Laboratory Systems, 139, 70–75.

    Article  Google Scholar 

  8. Lu, K. D., Zhou, W. N., Zeng, G. Q., & Du, W. (2018). Design of PID controller based on a self-adaptive state-space predictive functional control using external optimization method. Journal of The Franklin Institute-Engineering and Applied Mathematics, 355(5), 2197–2220.

    Article  MathSciNet  Google Scholar 

  9. Skrjanc, I., & Blazic, S. (2005). Predictive functional control based on fuzzy model: Design and stability study. Journal of the Intelligent & Robotic Systems, 43(2–4), 283–299.

    Article  Google Scholar 

  10. Tang, W. Q., & Cai, Y. L. (2012). Predictive functional control-based missile autopilot design. Journal of Guidance, Control and Dynamics, 35(5), 1450–1455.

    Article  Google Scholar 

  11. Tao, J. L., Yu, Z. H., Zhu, Y., & Ma, L. H. (2015). A linear quadratic structure based predictive functional control design for industrial processes against partial actuator failures. Chemometrics and Intelligent Laboratory Systems, 146, 263–269.

    Article  Google Scholar 

  12. Zhang, R. D., Zou, H. B., Xue, A. K., & Gao, F. R. (2014). GA based predictive functional control for batch processes under actuator faults. Chemometrics and Intelligent Laboratory Systems, 137, 67–73.

    Article  Google Scholar 

  13. Skrjanc, I., & Matko, D. (2001). Fuzzy predictive functional control in the state space domain. Journal of Intelligent and Robotic Systems, 31(1–3), 283–297.

    Article  Google Scholar 

  14. Simkoff, J. M., Wang, S., Baldea, M., Chiang, L. H., Castillo, I., Bindlish, R., et al. (2018). Plant-model mismatch estimation from closed-loop data for state-space model predictive control. Industrial & Engineering Chemistry Research, 57(10), 3732–3741.

    Article  Google Scholar 

  15. Tatjewski, P. (2014). Disturbance modeling and state estimation for offset-free predictive control with state-space process models. International Journal of Applied Mathematics and Computer Science, 24(2), 313–323.

    Article  MathSciNet  Google Scholar 

  16. Gallego, A. J., & Camacho, E. F. (2012). Adaptive state-space model predictive control of a parabolic-trough field. Control Engineering Practice, 20(9), 904–911.

    Article  Google Scholar 

  17. Miranda, H., Cortes, P., Yuz, J. I., & Rodriguez, J. (2009). Predictive torque control of induction machines based on state-space models. IEEE Transactions on Industrial Electronics, 56(6), 1916–1924.

    Article  Google Scholar 

  18. Lawrynczuk, M. (2017). Nonlinear predictive control of a boiler-turbine unit: A state-space approach with successive on-line model linearisation and quadratic optimisation. ISA Transactions, 67, 476–495.

    Article  Google Scholar 

  19. Zhang, R. D., Xue, A. K., Wang, S. Q., & Zhang, J. M. (2014). An improved state-space model structure and a corresponding predictive functional control design with improved control performance. International Journal of Control, 85(8), 1146–1161.

    Article  MathSciNet  Google Scholar 

  20. Zhang, R. D., Zou, Q., Cao, Z. X., & Gao, F. R. (2017). Design of fractional order modeling based extended non-minimal state space MPC for temperature in an industrial electric heating furnace. Journal of Process Control, 56, 13–22.

    Article  Google Scholar 

  21. Zhang, R. D., & Gao, F. R. (2015). An improved decoupling structure based state space MPC design with improved performance. Systems & Control Letters, 75, 77–83.

    Article  MathSciNet  Google Scholar 

  22. Zhang, R. D., & Gao, F. R. (2013). Multivariable decoupling predictive functional control with non-zero-pole cancellation and state weighting: Application on chamber pressure in a coke furnace. Chemical Engineering Science, 94, 30–43.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, Zhejiang, China

    Ridong Zhang

  2. Key Lab for IOT and Information Fusion Technology of Zhejiang, Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, Zhejiang, China

    Anke Xue

  3. Department of Chemical and Biomolecular Engineering, Hong Kong University of Science and Technology, Hong Kong, China

    Furong Gao

Authors
  1. Ridong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anke Xue
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Furong Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ridong Zhang .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Zhang, R., Xue, A., Gao, F. (2019). Predictive Functional Control Based on Extended Non-minimal State Space Model. In: Model Predictive Control. Springer, Singapore. https://doi.org/10.1007/978-981-13-0083-7_5

Download citation

Publish with us

Policies and ethics

Search

Navigation