Skip to main content

Nonlinearity and Time-Delay Compensations in State-Space Model Based Predictive Control

  • Conference paper
  • First Online:
Book cover Automation Control Theory Perspectives in Intelligent Systems (CSOC 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 466))

Included in the following conference series:

  • 886 Accesses

Abstract

In this paper a promising series of modifications of predictive control has been combined in order to extend the functionality of principles of predictive control via linearization. Based on this approach a linear model predictive controller is designed at each point to achieve desired local stability and performance requirements leading to guaranteed functionality through the whole operating range of a nonlinear system. In addition, a compensating technique has been applied in order to deal with the system dynamic burdened with a delayed control input. The improved predictive controller has been implemented and applied on illustrative examples of tank system.

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

Access this chapter

Institutional subscriptions

References

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

    Article  Google Scholar 

  2. Haber, R., Bars, R., Schmitz, U.: Predictive Control in Process Engineering: From Basics to the Applications. Willey-VCH Verlag, Weinham (2011)

    Book  Google Scholar 

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

    Article  Google Scholar 

  4. Raff, T., Hubber, S., Nagy, Z.K., Allglöwer, F.: Nonlinear Model Predictive Control of a Four Tank System: An Experimental Stability Study, pp. 237–242. IEEE, Munich (2006)

    Google Scholar 

  5. Krhovják, A., Dostál, P., Talaš, S., Rušar, L.: Multivariable gain scheduled control of two funnel liquid tanks in series. In: Strbske Pleso, s.n., pp. 60–65 (2015)

    Google Scholar 

  6. Shamma, J.S., Athans, M.: Analysis of gain scheduled control for nonlinear plants. IEEE Trans. Autom. Control 35(8), 898–907 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  7. Lee, J.H., Garcia, C.E.: State-space interpretation of model predictive control. Automatica 30(4), 707–717 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  8. Normey-Rico, J.E., Camacho, E.F.: Control of Dead-Time Processes. Springer, London (2007)

    MATH  Google Scholar 

Download references

Acknowledgments

This article was created with support of the Ministry of Education of the Czech Republic under grant IGA reg. n. IGA/FAI/2016/006.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stanislav Talaš .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Talaš, S., Bobál, V., Krhovják, A., Rušar, L. (2016). Nonlinearity and Time-Delay Compensations in State-Space Model Based Predictive Control. In: Silhavy, R., Senkerik, R., Oplatkova, Z.K., Silhavy, P., Prokopova, Z. (eds) Automation Control Theory Perspectives in Intelligent Systems. CSOC 2016. Advances in Intelligent Systems and Computing, vol 466. Springer, Cham. https://doi.org/10.1007/978-3-319-33389-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-33389-2_10

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33387-8

  • Online ISBN: 978-3-319-33389-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics