Nonlinear bounded control for time-delay systems
Germain Garcia; Sophie Tarbouriech
Kybernetika (2001)
- Volume: 37, Issue: 4, page [381]-396
- ISSN: 0023-5954
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topGarcia, Germain, and Tarbouriech, Sophie. "Nonlinear bounded control for time-delay systems." Kybernetika 37.4 (2001): [381]-396. <http://eudml.org/doc/33543>.
@article{Garcia2001,
abstract = {A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an $e$-parameterized family of algebraic Riccati equations or on an $e$-parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain performance level is attained through a quadratic cost function.},
author = {Garcia, Germain, Tarbouriech, Sophie},
journal = {Kybernetika},
keywords = {state feedback controller; time-delay; state feedback controller; time-delay},
language = {eng},
number = {4},
pages = {[381]-396},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Nonlinear bounded control for time-delay systems},
url = {http://eudml.org/doc/33543},
volume = {37},
year = {2001},
}
TY - JOUR
AU - Garcia, Germain
AU - Tarbouriech, Sophie
TI - Nonlinear bounded control for time-delay systems
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 4
SP - [381]
EP - 396
AB - A method to derive a nonlinear bounded state feedback controller for a linear continuous-time system with time-delay in the state is proposed. The controllers are based on an $e$-parameterized family of algebraic Riccati equations or on an $e$-parameterized family of LMI optimization problems. Hence, nested ellipsoidal neighborhoods of the origin are determined. Thus, from the Lyapunov–Krasovskii theorem, the uniform asymptotic stability of the closed-loop system is guaranteed and a certain performance level is attained through a quadratic cost function.
LA - eng
KW - state feedback controller; time-delay; state feedback controller; time-delay
UR - http://eudml.org/doc/33543
ER -
References
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