Constrained order observer design for disturbance decoupled output estimation

R.W.H. Merks (Corresponding author), E.M.M. Kivits, S. Weiland

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Abstract

From industry there is an increasing interest in applying model based control techniques to large-scale systems. Control designs like H2 and H∞ optimal control will typically contain a dynamic state observer in which the order will be equal to the model order. Consequently, real-time implementation of the controller may not be possible due to computational constraints. The problem of designing a constrained order observer for a large-scale system, with explicit guarantees on the output estimate is therefore a relevant problem in these applications.

This letter addresses the problem of constructing (if it exists) an observer with a constrained order that decouples the output estimation errors from the disturbances that are acting on the system. In addition, stability of the output estimate, a characterization of the orders for which the observer can achieve disturbance decoupled estimation and the explicit construction of the observer are discussed.
Original languageEnglish
Pages (from-to)49-54
Number of pages6
JournalIEEE Control Systems Letters
Volume3
Issue number1
DOIs
Publication statusPublished - Jan 2019

Keywords

  • Computational modeling
  • Control design
  • Estimation error
  • Numerical models
  • Observers
  • Optimal control
  • Model/controller reduction
  • algebraic/geometric methods
  • estimation
  • observers for linear systems

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