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Some remarks on non-assignable equilibria of linear time-invariant systems. / Barabanov, A.; Ortega, R.; Escobar, G.

2007 European Control Conference, ECC 2007. 2007. p. 531-534.

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Barabanov A, Ortega R, Escobar G. Some remarks on non-assignable equilibria of linear time-invariant systems. In 2007 European Control Conference, ECC 2007. 2007. p. 531-534

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Barabanov, A. ; Ortega, R. ; Escobar, G. / Some remarks on non-assignable equilibria of linear time-invariant systems. 2007 European Control Conference, ECC 2007. 2007. pp. 531-534

BibTeX

@inproceedings{0abe700744864d5d9c4e1d96a6efc9de,
title = "Some remarks on non-assignable equilibria of linear time-invariant systems",
abstract = "{\textcopyright} 2007 EUCA.In this note we investigate the following question: given a (finite dimensional) linear time-invariant system and a constant desired value for its output. Assume there is no assignable equilibrium point corresponding to the desired output. Does there exists a (possibly dynamic, nonlinear, time-varying) controller such that the output ultimately enters a prescribed neighborhood of its desired value preserving all internal signals bounded? Our main contribution is the establishment of necessary and sufficient conditions, given in terms of a (computable) bound on the 'size' of the neighborhood, for the solution of the problem. Interestingly, there is no connection between this problem and the more familiar concepts of controllability and observability. However, we also prove that if the system has 'non-assignable values' for the output then it is non minimum phase.",
author = "A. Barabanov and R. Ortega and G. Escobar",
year = "2007",
language = "English",
isbn = "9783952417386",
pages = "531--534",
booktitle = "2007 European Control Conference, ECC 2007",

}

RIS

TY - GEN

T1 - Some remarks on non-assignable equilibria of linear time-invariant systems

AU - Barabanov, A.

AU - Ortega, R.

AU - Escobar, G.

PY - 2007

Y1 - 2007

N2 - © 2007 EUCA.In this note we investigate the following question: given a (finite dimensional) linear time-invariant system and a constant desired value for its output. Assume there is no assignable equilibrium point corresponding to the desired output. Does there exists a (possibly dynamic, nonlinear, time-varying) controller such that the output ultimately enters a prescribed neighborhood of its desired value preserving all internal signals bounded? Our main contribution is the establishment of necessary and sufficient conditions, given in terms of a (computable) bound on the 'size' of the neighborhood, for the solution of the problem. Interestingly, there is no connection between this problem and the more familiar concepts of controllability and observability. However, we also prove that if the system has 'non-assignable values' for the output then it is non minimum phase.

AB - © 2007 EUCA.In this note we investigate the following question: given a (finite dimensional) linear time-invariant system and a constant desired value for its output. Assume there is no assignable equilibrium point corresponding to the desired output. Does there exists a (possibly dynamic, nonlinear, time-varying) controller such that the output ultimately enters a prescribed neighborhood of its desired value preserving all internal signals bounded? Our main contribution is the establishment of necessary and sufficient conditions, given in terms of a (computable) bound on the 'size' of the neighborhood, for the solution of the problem. Interestingly, there is no connection between this problem and the more familiar concepts of controllability and observability. However, we also prove that if the system has 'non-assignable values' for the output then it is non minimum phase.

M3 - Conference contribution

SN - 9783952417386

SP - 531

EP - 534

BT - 2007 European Control Conference, ECC 2007

ER -

ID: 3999627