Robust H ∞ control of an uncertain system via a stable decentralized output feedback controller

Ian R. Petersen

Kybernetika (2009)

  • Volume: 45, Issue: 1, page 101-120
  • ISSN: 0023-5954

Abstract

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This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust H ∞ control. The proposed procedure involves solving a set of algebraic Riccati equations of the H ∞ control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust H ∞ control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.

How to cite

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Petersen, Ian R.. "Robust $H^\infty $ control of an uncertain system via a stable decentralized output feedback controller." Kybernetika 45.1 (2009): 101-120. <http://eudml.org/doc/37664>.

@article{Petersen2009,
abstract = {This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust $H^\infty $ control. The proposed procedure involves solving a set of algebraic Riccati equations of the $H^\infty $ control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust $H^\infty $ control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.},
author = {Petersen, Ian R.},
journal = {Kybernetika},
keywords = {robust control; decentralized control; $H^\{\infty \}$ control; robust control; decentralized control; control},
language = {eng},
number = {1},
pages = {101-120},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Robust $H^\infty $ control of an uncertain system via a stable decentralized output feedback controller},
url = {http://eudml.org/doc/37664},
volume = {45},
year = {2009},
}

TY - JOUR
AU - Petersen, Ian R.
TI - Robust $H^\infty $ control of an uncertain system via a stable decentralized output feedback controller
JO - Kybernetika
PY - 2009
PB - Institute of Information Theory and Automation AS CR
VL - 45
IS - 1
SP - 101
EP - 120
AB - This paper presents a procedure for constructing a stable decentralized output feedback controller for a class of uncertain systems in which the uncertainty is described by Integral Quadratic Constraints. The controller is constructed to solve a problem of robust $H^\infty $ control. The proposed procedure involves solving a set of algebraic Riccati equations of the $H^\infty $ control type which are dependent on a number of scaling parameters. By treating the off-diagonal elements of the controller transfer function matrix as uncertainties, a decentralized controller is obtained by taking the block-diagonal part of a non-decentralized stable output feedback controller which solves the robust $H^\infty $ control problem. This approach to decentralized controller design enables the controller to exploit the coupling between the subsystems of the plant.
LA - eng
KW - robust control; decentralized control; $H^{\infty }$ control; robust control; decentralized control; control
UR - http://eudml.org/doc/37664
ER -

References

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  8. Decentralized Control of Complex Systems, San Diego, CA: Academic Press, 1991. Zbl0728.93004MR1086632
  9. On robust non-fragile static state-feedback controller synthesis, In: Proc. 39th IEEE Conference on Decision and Control, Sydney 2000, pp. 4909–4914. 
  10. Decentralized robust control design with insufficient number of controllers, Internat. J. Control 65 (1996), 1015–1030. MR1662192
  11. Loop performance assessment for decentralied control of stable linear systems, European J. Control 9 (2003), 1, 118–132. 
  12. Global low-rank enhancement of decentralized control for large-scale systems, IEEE Trans. Automat. Control 50 (2005), 5, 740–744. MR2141585
  13. On the synthesis of stable H ∞ controllers, IEEE Trans. Automat. Control 44 (1999), 2, 431–435. MR1668932
  14. H ∞ controller design: A matrix inequality approach using a homotopy method, Automatica 37 (2001), 4, 565–572. MR1832530
  15. Robust and Optimal Control, Prentice-Hall, Upper Saddle River, NJ 1996. 

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