-optimal control for multirate systems under full state feedback
Johannes Aubrecht; Petros G. Voulgaris
Kybernetika (1999)
- Volume: 35, Issue: 5, page [555]-586
- ISSN: 0023-5954
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topAubrecht, Johannes, and Voulgaris, Petros G.. "$\ell ^1$-optimal control for multirate systems under full state feedback." Kybernetika 35.5 (1999): [555]-586. <http://eudml.org/doc/33446>.
@article{Aubrecht1999,
abstract = {This paper considers the minimization of the $\ell ^\infty $-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems.},
author = {Aubrecht, Johannes, Voulgaris, Petros G.},
journal = {Kybernetika},
keywords = {state-space approach; full state feedback; $\ell ^1$ norm; multirate system; near-optimal performance; memoryless nonlinear controller; viability theory; state-space approach; full state feedback; norm; multirate system; near-optimal performance; memoryless nonlinear controller; viability theory},
language = {eng},
number = {5},
pages = {[555]-586},
publisher = {Institute of Information Theory and Automation AS CR},
title = {$\ell ^1$-optimal control for multirate systems under full state feedback},
url = {http://eudml.org/doc/33446},
volume = {35},
year = {1999},
}
TY - JOUR
AU - Aubrecht, Johannes
AU - Voulgaris, Petros G.
TI - $\ell ^1$-optimal control for multirate systems under full state feedback
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 5
SP - [555]
EP - 586
AB - This paper considers the minimization of the $\ell ^\infty $-induced norm of the closed loop in linear multirate systems when full state information is available for feedback. A state-space approach is taken and concepts of viability theory and controlled invariance are utilized. The essential idea is to construct a set such that the state may be confined to that set and that such a confinement guarantees that the output satisfies the desired output norm conditions. Once such a set is computed, it is shown that a memoryless nonlinear controller results, which achieves near-optimal performance. The construction involves the solution of several finite linear programs and generalizes to the multirate case earlier work on linear time-invariant (LTI) systems.
LA - eng
KW - state-space approach; full state feedback; $\ell ^1$ norm; multirate system; near-optimal performance; memoryless nonlinear controller; viability theory; state-space approach; full state feedback; norm; multirate system; near-optimal performance; memoryless nonlinear controller; viability theory
UR - http://eudml.org/doc/33446
ER -
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