Self-bounded controlled invariant subspaces in measurable signal decoupling with stability: minimal-order feedforward solution

Elena Zattoni

Kybernetika (2005)

  • Volume: 41, Issue: 1, page [85]-96
  • ISSN: 0023-5954

Abstract

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The structural properties of self-bounded controlled invariant subspaces are fundamental to the synthesis of a dynamic feedforward compensator achieving insensitivity of the controlled output to a disturbance input accessible for measurement, on the assumption that the system is stable or pre-stabilized by an inner feedback. The control system herein devised has several important features: i) minimum order of the feedforward compensator; ii) minimum number of unassignable dynamics internal to the feedforward compensator; iii) maximum number of dynamics, external to the feedforward compensator, arbitrarily assignable by a possible inner feedback. From the numerical point of view, the design method herein detailed does not involve any computation of eigenspaces, which may be critical for systems of high order. The procedure is first presented for left-invertible systems. Then, it is extended to non-left- invertible systems by means of a simple, original, squaring-down technique.

How to cite

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Zattoni, Elena. "Self-bounded controlled invariant subspaces in measurable signal decoupling with stability: minimal-order feedforward solution." Kybernetika 41.1 (2005): [85]-96. <http://eudml.org/doc/33741>.

@article{Zattoni2005,
abstract = {The structural properties of self-bounded controlled invariant subspaces are fundamental to the synthesis of a dynamic feedforward compensator achieving insensitivity of the controlled output to a disturbance input accessible for measurement, on the assumption that the system is stable or pre-stabilized by an inner feedback. The control system herein devised has several important features: i) minimum order of the feedforward compensator; ii) minimum number of unassignable dynamics internal to the feedforward compensator; iii) maximum number of dynamics, external to the feedforward compensator, arbitrarily assignable by a possible inner feedback. From the numerical point of view, the design method herein detailed does not involve any computation of eigenspaces, which may be critical for systems of high order. The procedure is first presented for left-invertible systems. Then, it is extended to non-left- invertible systems by means of a simple, original, squaring-down technique.},
author = {Zattoni, Elena},
journal = {Kybernetika},
keywords = {geometric approach; linear systems; self-bounded controlled invariant subspaces; measurable signal decoupling; non-left-invertible systems; linear system; self-bounded controlled invariant subspace; measurable signal decoupling; non-left-invertible system},
language = {eng},
number = {1},
pages = {[85]-96},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Self-bounded controlled invariant subspaces in measurable signal decoupling with stability: minimal-order feedforward solution},
url = {http://eudml.org/doc/33741},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Zattoni, Elena
TI - Self-bounded controlled invariant subspaces in measurable signal decoupling with stability: minimal-order feedforward solution
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 1
SP - [85]
EP - 96
AB - The structural properties of self-bounded controlled invariant subspaces are fundamental to the synthesis of a dynamic feedforward compensator achieving insensitivity of the controlled output to a disturbance input accessible for measurement, on the assumption that the system is stable or pre-stabilized by an inner feedback. The control system herein devised has several important features: i) minimum order of the feedforward compensator; ii) minimum number of unassignable dynamics internal to the feedforward compensator; iii) maximum number of dynamics, external to the feedforward compensator, arbitrarily assignable by a possible inner feedback. From the numerical point of view, the design method herein detailed does not involve any computation of eigenspaces, which may be critical for systems of high order. The procedure is first presented for left-invertible systems. Then, it is extended to non-left- invertible systems by means of a simple, original, squaring-down technique.
LA - eng
KW - geometric approach; linear systems; self-bounded controlled invariant subspaces; measurable signal decoupling; non-left-invertible systems; linear system; self-bounded controlled invariant subspace; measurable signal decoupling; non-left-invertible system
UR - http://eudml.org/doc/33741
ER -

References

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  7. Piazzi A., 10.1109/TAC.1986.1104260, IEEE Trans. Automat. Control AC-31 (1986), 4, 341–342 (1986) DOI10.1109/TAC.1986.1104260
  8. Schumacher J. M., On a conjecture of Basile and Marro, J. Optim. Theory Appl. 41 (1983), 2, 371–376 (1983) Zbl0517.93009MR0720781
  9. Wonham W. M., Linear Multivariable Control: A Geometric Approach, Third edition. Springer–Verlag, New York 1985 Zbl0609.93001MR0770574
  10. Wonham W. M., Morse A. S., 10.1137/0308001, SIAM J. Control 8 (1970), 1, 1–18 (1970) Zbl0206.16404MR0270771DOI10.1137/0308001

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