Advertisement

Nonlinear Adaptive Control

  • João M. LemosEmail author
  • Rui Neves-Silva
  • José M. Igreja
Chapter
  • 1.2k Downloads
Part of the Advances in Industrial Control book series (AIC)

Abstract

Exact linear models are obtained using the technique known as input–output feedback linearization, that is applied to a bilinear finite-dimensional state-space approximation of the dynamics of a distributed collector solar field. A control Lyapunov function is then used to jointly design the adaptation law for the uncertain parameter that measures the mirror efficiency, and the gain of the pole-placement controller. Provided that the plant is represented by the finite-dimensional bilinear model considered, this approaches ensures the stability of the overall controlled system, and that the outlet fluid temperature asymptotically approaches the reference. A reduced complexity controller designed along these lines is obtained and the resulting internal state dynamics is studied. Experimental results on a distributed collector solar field are shown.

Keywords

Lyapunov Function Feedback Linearization Proportional Derivative Controller High Order Model Manipulate Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Barão M, Lemos JM, Silva RN (2002) Reduced complexity adaptive nonlinear control of a distributed collector solar field. J Proc Control 12:131–141Google Scholar
  2. Camacho EF, Rubio FR, Hughes FM (1992) Self-tuning control of a solar power plant with a distributed collector field. IEEE Control Syst Mag 12(2:)72–78Google Scholar
  3. Cirre CC, Berenguel M, Valenzuela L, Camacho EF (2007) Feedback linearization control for a distributed solar collector field. Control Eng Pract 15:1533–1544Google Scholar
  4. Findeisen R, Allgöwer F (2002) An introduction to nonlinear model predictive control. In : Proceedings of 21st Benelux meeting on systems and control, VeldhovenGoogle Scholar
  5. Igreja, JM, Lemos JM, Barão M, Silva RN (2003). Adaptive nonlinear control of a distributed collector solar field. In: Provceedings of European control conference 2003, ECC03, Cambridge UKGoogle Scholar
  6. Isidori, A (1995) Nonlinear control systems. Springer, New YorkGoogle Scholar
  7. Primbs JA (2000) A receding horizon generalization of pointwise min-norm controllers. IEEE Trans Autom Control 45:898–909CrossRefzbMATHMathSciNetGoogle Scholar
  8. Sastry S, Isidori A (1989) Adaptive control of linearizable systems. IEEE Trans Autom Control 34(11):1123–1131CrossRefzbMATHMathSciNetGoogle Scholar
  9. Slotine, J (1991) Applied nonlinear control. Prentice Hall, NJGoogle Scholar
  10. Sontag, E (1989) Mathematical control theory, 2nd edn. Springer, New YorkGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • João M. Lemos
    • 1
    Email author
  • Rui Neves-Silva
    • 2
  • José M. Igreja
    • 3
  1. 1.INESC-ID ISTUniversity of LisbonLisboaPortugal
  2. 2.FCTNew University of LisbonCaparicaPortugal
  3. 3.Institute of Engineering of LisbonLisboaPortugal

Personalised recommendations