Trajectory tracking control for nonlinear time-delay systems

Luis Alejandro Márquez-Martínez; Claude H. Moog

Kybernetika (2001)

  • Volume: 37, Issue: 4, page [370]-380
  • ISSN: 0023-5954

Abstract

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The reference trajectory tracking problem is considered in this paper and (constructive) sufficient conditions are given for the existence of a causal state feedback solution. The main result is introduced as a byproduct of input-output feedback linearization.

How to cite

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Márquez-Martínez, Luis Alejandro, and Moog, Claude H.. "Trajectory tracking control for nonlinear time-delay systems." Kybernetika 37.4 (2001): [370]-380. <http://eudml.org/doc/33542>.

@article{Márquez2001,
abstract = {The reference trajectory tracking problem is considered in this paper and (constructive) sufficient conditions are given for the existence of a causal state feedback solution. The main result is introduced as a byproduct of input-output feedback linearization.},
author = {Márquez-Martínez, Luis Alejandro, Moog, Claude H.},
journal = {Kybernetika},
keywords = {trajectory tracking problem; feedback solution; nonlinear time-delay system; trajectory tracking problem; feedback solution; nonlinear time-delay system},
language = {eng},
number = {4},
pages = {[370]-380},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Trajectory tracking control for nonlinear time-delay systems},
url = {http://eudml.org/doc/33542},
volume = {37},
year = {2001},
}

TY - JOUR
AU - Márquez-Martínez, Luis Alejandro
AU - Moog, Claude H.
TI - Trajectory tracking control for nonlinear time-delay systems
JO - Kybernetika
PY - 2001
PB - Institute of Information Theory and Automation AS CR
VL - 37
IS - 4
SP - [370]
EP - 380
AB - The reference trajectory tracking problem is considered in this paper and (constructive) sufficient conditions are given for the existence of a causal state feedback solution. The main result is introduced as a byproduct of input-output feedback linearization.
LA - eng
KW - trajectory tracking problem; feedback solution; nonlinear time-delay system; trajectory tracking problem; feedback solution; nonlinear time-delay system
UR - http://eudml.org/doc/33542
ER -

References

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  2. Conte G., Perdon A. M., 10.1137/S0363012992235638, SIAM J. Control Optim. 33 (1995), 3, 750–764 (1995) Zbl0831.93011MR1327237DOI10.1137/S0363012992235638
  3. Germani A., Manes, C., Pepe P., Linearization and decoupling of nonlinear delay systems, In: Proc. American Control Conference, Philadelphia 1998, pp. 1948–1952 (1998) 
  4. Isidori A., Nonlinear Control Systems, Second edition. Springer–Verlag, Berlin 1989 Zbl0931.93005MR1015932
  5. Kolmanovskii V. B., Niculescu S. I., Gu K., Delay effects on stability and control: a survey, In: Proc. 38th IEEE Conference on Decision and Control, Phoenix 1999 
  6. Kolmanovskii V. B., Nosov V. R., Stability of Functional Differential Equations, Academic Press, London 1986 Zbl0593.34070MR0860947
  7. Márquez–Martínez L. A., Moog C. H., On the input-output linearization of nonlinear time-delay systems, In: Proc. IFAC Conference on System Structure and Control, Nantes 1998 
  8. Moog C. H., Castro–Linares R., Velasco–Villa, M., Márquez–Martínez L. A., 10.1109/9.839954, IEEE Trans. Automat. Control 5 (2000), 305–309 DOI10.1109/9.839954
  9. Niculescu S. I., Verriest E. I., Dugard, L., Dion J.-M., Stability and robust stability of time-delay systems: A guided tour, In: Stability and Control of Time-Delay Systems (L. Dugard and E. I. Verriest, eds., Lecture Notes in Control and Information Sciences 228), Springer–Verlag, Berlin 1998 Zbl0914.93002MR1482571
  10. Šebek M., 10.1016/0005-1098(88)90121-5, Automatica 24 (1988), 5, 711–713 (1988) Zbl0655.93035DOI10.1016/0005-1098(88)90121-5
  11. Wu W., Chou Y. S., Output tracking control of uncertain nonlinear systems with an input time delay, IEE Proc. – Control Theory Appl. 143 (1996), 4, 7 (1996) Zbl0867.93022

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