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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 427))

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Abstract

The hybrid adaptive control with a delta External Linear Model is presented in this work. The adaptive approach is based on the choice of the External Linear Model of the originally nonlinear system parameters of which are identified recursively during the control and parameters of the controller are recomputed according to results of this estimation too. Two methods, Pole-placement and LQ approach, are compared with similar results. Advantage of these methods is that they are easily programmable and the result can be affected by tuning parameters in both methods. The polynomial approach with 2DOF control configuration satisfies basic control requirements and moreover, it could suppress overshoots of the output variable. Proposed methods were tested by the simulation on a very complex nonlinear system represented by the continuous stirred tank reactor with cooling in the jacket.

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References

  1. Corriou, J.-P.: Process Control. Theory and Applications. Springer, London (2004)

    Google Scholar 

  2. Ingham, J., Dunn, I.J., Heinzle, E., Prenosil, J.E.: Chemical Engineering Dynamics. An Introduction to Modeling and Computer Simulation. Second. Completely Revised Edition. VCH Verlagsgesellshaft. Weinheim (2000). ISBN: 3-527-29776-6

    Google Scholar 

  3. Dusek, F, Honc, D.: Control of a simple constrained MIMO system with steady state optimization—Case study. In: Proceedings of the IASTED International Conference on Modelling, Identification, and Control, MIC (2009)

    Google Scholar 

  4. Astrom, K.J., Wittenmark, B.: Adaptive Control. Addison Wesley, Reading (1989)

    Google Scholar 

  5. Bobal, V., Bhm, J., Fessl, J., Machacek, J.: Digital Self-tuning Controllers: Algorithms Implementation and Applications. Advanced Textbooks in Control and Signal Processing. Springer, London (2005). ISBN: 1-85233-980-2

    Google Scholar 

  6. Honc, D., Dusek, F.: State-space constrained model predictive control. In: Proceedings—27th European Conference on Modelling and Simulation, ECMS (2013)

    Google Scholar 

  7. Vojtesek, J., Dostal, P.: Control of concentration inside CSTR using nonlinear adaptive controller. In: Nostradamus 2014: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol. 289, 2014, pp. 195–204 (2014)

    Google Scholar 

  8. Mukhopadhyay, S., Patra, A.G., Rao, G.P.: New class of discrete-time models for continuos-time systeme. Int. J. Control 1992(55), 1161–1187 (1992)

    Article  MathSciNet  Google Scholar 

  9. Stericker, D.L., Sinha, N.K.: Identification of continuous-time systems from samples of input-output data using the \(\delta \)-operator. Control-Theory Adv. Technol 9(1993), 113–125 (1993)

    MathSciNet  Google Scholar 

  10. Kucera, V.: Diophantine equations in control—A survey. Automatica 29(1993), 1361–1375 (1993)

    Article  MATH  Google Scholar 

  11. Kucera, V.: Analysis and Design of Discrete Linear Control Systems. Prentice-Hall, London (1991). ISBN: 0-13-033085-X

    Google Scholar 

  12. Dostal, P., Bobal, V., Blaha, M.: One approach to adaptive control of nonlinear processes. In: Proceedings of IFAC Workshop on Adaptation and Learning in Control and Signal Processing ALCOSP 2001, pp. 407–412. Cernobbio-Como, Italy (2001)

    Google Scholar 

  13. Chen, H., Kremling, A., Allgwer, F.: Nonlinear predictive control of a benchmark CSTR. In: Proceedings of 3rd European Control Conference. Rome, Italy (1995)

    Google Scholar 

  14. Vojtesek, J., Dostal, P.: From steady-state and dynamic analysis to adaptive control of the CSTR reactor. In: Proceedings of 19th European Conference on Modelling and Simulation ESM 2005, pp. 591–598. Riga, Latvia (2005)

    Google Scholar 

  15. Vojtesek, J., Dostal, P.: Adaptive LQ approach used in conductivity control inside continuous-stirred tank reactor, international federation of automatic control. In: Proceedings of the 17th IFAC World Congress, Soul, pp. 12929–12934 (2008). ISBN-ISSN 978-1-1234-7890-2

    Google Scholar 

  16. Mikles, J., Fikar, M.: Process Modelling, Identification, and Control. Springer, Berlin (2007)

    MATH  Google Scholar 

  17. Vojtesek, J., Dostal, P.: Effect of Weighting Factors in Adaptive LQ Control. Nostradamus 2013: Prediction, Modeling and Analysis of Complex Systems. Advances in Intelligent Systems and Computing, vol. 210, pp 265–274 (2013)

    Google Scholar 

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Correspondence to Jiri Vojtesek .

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Vojtesek, J., Dostal, P. (2016). Two Methods of Hybrid Adaptive Control Applied on Nonlinear Plant. In: Abraham, A., Wegrzyn-Wolska, K., Hassanien, A., Snasel, V., Alimi, A. (eds) Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015. Advances in Intelligent Systems and Computing, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-319-29504-6_43

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  • DOI: https://doi.org/10.1007/978-3-319-29504-6_43

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