Constrained order observer design for disturbance decoupled output estimation

R.W.H. Merks, E.M.M. Kivits, S. Weiland

Research output: Contribution to journalArticleAcademicpeer-review

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.
LanguageEnglish
Pages49-54
Number of pages6
JournalIEEE Control Systems Letters
Volume3
Issue number1
DOIs
StatePublished - Jan 2019

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Large scale systems
Error analysis
Controllers
Industry

Keywords

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

Cite this

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title = "Constrained order observer design for disturbance decoupled output estimation",
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.",
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Constrained order observer design for disturbance decoupled output estimation. / Merks, R.W.H.; Kivits, E.M.M.; Weiland, S.

In: IEEE Control Systems Letters, Vol. 3, No. 1, 01.2019, p. 49-54.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Constrained order observer design for disturbance decoupled output estimation

AU - Merks,R.W.H.

AU - Kivits,E.M.M.

AU - Weiland,S.

PY - 2019/1

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N2 - 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.

AB - 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.

KW - Computational modeling

KW - Control design

KW - Estimation error

KW - Numerical models

KW - Observers

KW - Optimal control

KW - Model/controller reduction

KW - algebraic/geometric methods

KW - estimation

KW - observers for linear systems

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T2 - IEEE Control Systems Letters

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