Adaptive dual control

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Abstract

The paper discusses the solution to the optimal adaptive control problem over an extended time horizon. This leads to a controller that have dual features, i.e., tt uses control actions as well as probing actions. The solution of the optimal dual control problem is intractable from a computational point of view. Approximations to obtain simpler suboptimal dual controllers are thus important. There are many different approaches how to obtain suboptimal dual controllers. Many of the approximations use a cautious controller as a starting point and introduce different active probing features. This can be done by including a term in the loss function that reflects the quality of the estimates of the parameters of the process. To introduce a dual feature this term must be a function of the control signal that is going to be determined and it should also contain information about the quality of the parameter estimates. The suboptimal dual controllers should also be such that they easily can be used for higher-order systems.
Original languageEnglish
Title of host publicationControl Systems, Robotics and Automation, Encyclopedia of Life Support Systems (EOLSS), Developed under the auspices of the UNESCO
EditorsHeinz Unbehauen
PublisherEolss Publishing CO. Ltd.
Publication statusPublished - 2002

Subject classification (UKÄ)

  • Control Engineering

Keywords

  • Bellman equation
  • hyperstate
  • cautious controller
  • turn-off phenomena
  • dynamic programming
  • stochastic control
  • Dual control
  • adaptive control
  • separation principle
  • certainty equivalence principle

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