An approach to adaptive control using real time identification

  • Authors:
  • J. Wieslander;B. Wittenmark

  • Affiliations:
  • Division of Automatic Control, Lund Institute of Technology, Lund, Sweden;Division of Automatic Control, Lund Institute of Technology, Lund, Sweden

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1971

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Abstract

An adaptive controller consisting of a real time identifier and a minimum variance regulator is discussed. The identification is done by augmenting the state with the unknown parameters of the process. This usually leads to a non-linear filtering problem. By choosing a model of special structure the problem can, however, be reduced to a linear problem. The control law is derived using stochastic optimal control theory. By choosing a special criterion, the stochastic control problem can be solved analytically. The behaviour of the adaptive controller is illustrated in two examples.