Geodesic
Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction
Kybernetika, Tome 50 (2014) no. 3, pp. 450-469.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This paper studies the constrained robust adaptive stabilization problem for a class of lower triangular systems with unknown control direction. A robust adaptive feedback control law for the systems is proposed by incorporating the technique of Barrier Lyapunov Function with Nussbaum gain. Such a controlled system arises from the study of the constrained robust output regulation problem for a class of output feedback systems with the unknown control direction and a nonlinear exosystem. An application of the constrained robust adaptive stabilization design leads to the solution of the constrained robust output regulation problem in the sense that the output tracking error is constrained within the prescribed barrier limit while asymptotically approaching to zero and the closed loop signals are all bounded for all the time. A numerical example is provided to illustrate the performance of the proposed control.
DOI : 10.14736/kyb-2014-3-0450
Classification : 62A10, 93C10, 93C15, 93D15, 93D21, 93E12, 93E15
Keywords: Barrier Lyapunov Function; output regulation; nonlinear exosystem; Nussbaum gain 
@article{10_14736_kyb_2014_3_0450,
     author = {Lan, Jianglin and Sun, Weijie and Peng, Yunjian},
     title = {Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction},
     journal = {Kybernetika},
     pages = {450--469},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2014},
     doi = {10.14736/kyb-2014-3-0450},
     mrnumber = {3245540},
     zbl = {1298.93347},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0450/}
}
TY  - JOUR
AU  - Lan, Jianglin
AU  - Sun, Weijie
AU  - Peng, Yunjian
TI  - Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction
JO  - Kybernetika
PY  - 2014
SP  - 450
EP  - 469
VL  - 50
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0450/
DO  - 10.14736/kyb-2014-3-0450
LA  - en
ID  - 10_14736_kyb_2014_3_0450
ER  - 
%0 Journal Article
%A Lan, Jianglin
%A Sun, Weijie
%A Peng, Yunjian
%T Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction
%J Kybernetika
%D 2014
%P 450-469
%V 50
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0450/
%R 10.14736/kyb-2014-3-0450
%G en
%F 10_14736_kyb_2014_3_0450
Lan, Jianglin; Sun, Weijie; Peng, Yunjian. Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction. Kybernetika, Tome 50 (2014) no. 3, pp. 450-469. doi : 10.14736/kyb-2014-3-0450. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-3-0450/

Cité par Sources :