The algebraic output feedback in the light of dual-lattice structures

Giovanni Marro; Federico Barbagli

Kybernetika (1999)

  • Volume: 35, Issue: 6, page [693]-706
  • ISSN: 0023-5954

Abstract

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The purpose of this paper is to derive constructive necessary and sufficient conditions for the problem of disturbance decoupling with algebraic output feedback. Necessary and sufficient conditions have also been derived for the same problem with internal stability. The same conditions have also been expressed by the use of invariant zeros. The main tool used is the dual- lattice structures introduced by Basile and Marro [R4].

How to cite

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Marro, Giovanni, and Barbagli, Federico. "The algebraic output feedback in the light of dual-lattice structures." Kybernetika 35.6 (1999): [693]-706. <http://eudml.org/doc/33456>.

@article{Marro1999,
abstract = {The purpose of this paper is to derive constructive necessary and sufficient conditions for the problem of disturbance decoupling with algebraic output feedback. Necessary and sufficient conditions have also been derived for the same problem with internal stability. The same conditions have also been expressed by the use of invariant zeros. The main tool used is the dual- lattice structures introduced by Basile and Marro [R4].},
author = {Marro, Giovanni, Barbagli, Federico},
journal = {Kybernetika},
keywords = {algebraic output feedback control; disturbance decoupling; dual-lattice structures; algebraic output feedback; algebraic output feedback control; disturbance decoupling; dual-lattice structures; algebraic output feedback},
language = {eng},
number = {6},
pages = {[693]-706},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The algebraic output feedback in the light of dual-lattice structures},
url = {http://eudml.org/doc/33456},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Marro, Giovanni
AU - Barbagli, Federico
TI - The algebraic output feedback in the light of dual-lattice structures
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 6
SP - [693]
EP - 706
AB - The purpose of this paper is to derive constructive necessary and sufficient conditions for the problem of disturbance decoupling with algebraic output feedback. Necessary and sufficient conditions have also been derived for the same problem with internal stability. The same conditions have also been expressed by the use of invariant zeros. The main tool used is the dual- lattice structures introduced by Basile and Marro [R4].
LA - eng
KW - algebraic output feedback control; disturbance decoupling; dual-lattice structures; algebraic output feedback; algebraic output feedback control; disturbance decoupling; dual-lattice structures; algebraic output feedback
UR - http://eudml.org/doc/33456
ER -

References

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  1. Anderson B. D. O., 10.1109/TAC.1976.1101268, IEEE Trans. Automat. Control 21 (1976), 589–591 (1976) Zbl0332.93025MR0444151DOI10.1109/TAC.1976.1101268
  2. Basile G., Marro G., 10.1007/BF00929356, J. Optim. Theory Appl. 3 (1969), 6, 410–415 (1969) Zbl0165.10203MR0247890DOI10.1007/BF00929356
  3. Basile G., Marro G., L’invarianza rispetto ai disturbi studiata nello spazio degli stati, Rendiconti della LXX Riunione Annuale AEI, paper 1-4-01, Rimini, Italy 1969 
  4. Basile G., Marro G., Controlled and Conditioned Invariants in Linear System Theory, Prentice Hall, New Jersey 1992 Zbl0758.93002MR1149379
  5. Basile G., Marro G., Piazzi A., A new solution to the disturbance localization problem with stability and its dual, In: Proceedings of the ’84 International AMSE Conference on Modelling and Simulation, Athens 1984, vol. 1, 2, pp. 19–27 (1984) 
  6. Chen B. M., 10.1080/002071797223721, Internat. J. Control 68 (1976), 1, 51–60 (1976) MR1687550DOI10.1080/002071797223721
  7. Imai H., Akashi H., 10.1109/TAC.1981.1102550, IEEE Trans. Automat. Control AC-26 (1981), 1, 226–235 (1981) Zbl0464.93045MR0609262DOI10.1109/TAC.1981.1102550
  8. Piazzi A., Marro G., The role of invariant zeros in multivariable system stability, In: Proceedings of the 1991 European Control Conference, Grenoble 1991 (1991) 
  9. Rosenbrock H. H., State–Space and Multivariable Theory, Wiley, New York 1970 Zbl0246.93010MR0325201
  10. Willems J. C., Commault C., 10.1137/0319029, SIAM J. Control Optim. 19 (1981), 4, 490–504 (1981) Zbl0467.93036MR0618240DOI10.1137/0319029
  11. Wonham W. M., Morse A. S., 10.1137/0308001, SIAM J. Control 8 (1970), 1, 1–18 (1970) Zbl0206.16404MR0270771DOI10.1137/0308001

Citations in EuDML Documents

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  1. Domenico Prattichizzo, Paolo Mercorelli, On some geometric control properties of active suspensions systems
  2. Paolo Mercorelli, Domenico Prattichizzo, A geometric procedure for robust decoupling control of contact forces in robotic manipulation
  3. Paolo Mercorelli, Robust decoupling through algebraic output feedback in manipulation systems
  4. Paolo Mercorelli, A geometric algorithm for the output functional controllability in general manipulation systems and mechanisms
  5. Paolo Mercorelli, Invariant subspaces for grasping internal forces and non-interacting force-motion control in robotic manipulation

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