Nonlinear Adaptive Control

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


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.


Lyapunov Function Feedback Linearization Proportional Derivative Controller High Order Model Manipulate Variable 
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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

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