Memoryless solution to the optimal control problem for linear systems with delayed input

Francesco Carravetta; Pasquale Palumbo; Pierdomenico Pepe

Kybernetika (2013)

  • Volume: 49, Issue: 4, page 568-589
  • ISSN: 0023-5954

Abstract

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This note investigates the optimal control problem for a time-invariant linear systems with an arbitrary constant time-delay in in the input channel. A state feedback is provided for the infinite horizon case with a quadratic cost function. The solution is memoryless, except at an initial time interval of measure equal to the time-delay. If the initial input is set equal to zero, then the optimal feedback control law is memoryless from the beginning. Stability results are established for the closed loop system, in the scalar case.

How to cite

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Carravetta, Francesco, Palumbo, Pasquale, and Pepe, Pierdomenico. "Memoryless solution to the optimal control problem for linear systems with delayed input." Kybernetika 49.4 (2013): 568-589. <http://eudml.org/doc/260709>.

@article{Carravetta2013,
abstract = {This note investigates the optimal control problem for a time-invariant linear systems with an arbitrary constant time-delay in in the input channel. A state feedback is provided for the infinite horizon case with a quadratic cost function. The solution is memoryless, except at an initial time interval of measure equal to the time-delay. If the initial input is set equal to zero, then the optimal feedback control law is memoryless from the beginning. Stability results are established for the closed loop system, in the scalar case.},
author = {Carravetta, Francesco, Palumbo, Pasquale, Pepe, Pierdomenico},
journal = {Kybernetika},
keywords = {time-delay systems; optimal control; stability; time-delay systems; optimal control; stability},
language = {eng},
number = {4},
pages = {568-589},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Memoryless solution to the optimal control problem for linear systems with delayed input},
url = {http://eudml.org/doc/260709},
volume = {49},
year = {2013},
}

TY - JOUR
AU - Carravetta, Francesco
AU - Palumbo, Pasquale
AU - Pepe, Pierdomenico
TI - Memoryless solution to the optimal control problem for linear systems with delayed input
JO - Kybernetika
PY - 2013
PB - Institute of Information Theory and Automation AS CR
VL - 49
IS - 4
SP - 568
EP - 589
AB - This note investigates the optimal control problem for a time-invariant linear systems with an arbitrary constant time-delay in in the input channel. A state feedback is provided for the infinite horizon case with a quadratic cost function. The solution is memoryless, except at an initial time interval of measure equal to the time-delay. If the initial input is set equal to zero, then the optimal feedback control law is memoryless from the beginning. Stability results are established for the closed loop system, in the scalar case.
LA - eng
KW - time-delay systems; optimal control; stability; time-delay systems; optimal control; stability
UR - http://eudml.org/doc/260709
ER -

References

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