Geodesic
$H_\infty $ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities
Kybernetika, Tome 55 (2019) no. 1, pp. 134-151.

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

This paper is devoted to design $H_\infty$ sliding mode controller for continuous-time Markov jump systems with interval time-varying delays and general transition probabilities. An integral sliding surface is constructed and its reachability is guaranteed via a sliding mode control law. Meanwhile, a linearisation strategy is applied to treat the nonlinearity induced by general transition probabilities. Using a separation method based on Finsler lemma to eliminate the coupling among Lyapunov variables and controller parameters, sufficient conditions for asymptotically stochastic stability of sliding mode dynamics are formulated in terms of linear matrix inequalities. Finally, a single-link robot arm system is simulated to demonstrate the effectiveness of the proposed method.
DOI : 10.14736/kyb-2019-1-0134
Classification : 93D09, 93D15, 93E03
Keywords: Markov jump systems; time-varying delays; sliding mode control 
@article{10_14736_kyb_2019_1_0134,
     author = {Li, Lingchun and Zhang, Guangming and Ou, Meiying and Wang, Yujie},
     title = {$H_\infty $ sliding mode control for {Markov} jump systems with interval time-varying delays and general transition probabilities},
     journal = {Kybernetika},
     pages = {134--151},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2019},
     doi = {10.14736/kyb-2019-1-0134},
     mrnumber = {3935418},
     zbl = {07088882},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0134/}
}
TY  - JOUR
AU  - Li, Lingchun
AU  - Zhang, Guangming
AU  - Ou, Meiying
AU  - Wang, Yujie
TI  - $H_\infty $ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities
JO  - Kybernetika
PY  - 2019
SP  - 134
EP  - 151
VL  - 55
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0134/
DO  - 10.14736/kyb-2019-1-0134
LA  - en
ID  - 10_14736_kyb_2019_1_0134
ER  - 
%0 Journal Article
%A Li, Lingchun
%A Zhang, Guangming
%A Ou, Meiying
%A Wang, Yujie
%T $H_\infty $ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities
%J Kybernetika
%D 2019
%P 134-151
%V 55
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0134/
%R 10.14736/kyb-2019-1-0134
%G en
%F 10_14736_kyb_2019_1_0134
Li, Lingchun; Zhang, Guangming; Ou, Meiying; Wang, Yujie. $H_\infty $ sliding mode control for Markov jump systems with interval time-varying delays and general transition probabilities. Kybernetika, Tome 55 (2019) no. 1, pp. 134-151. doi : 10.14736/kyb-2019-1-0134. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-1-0134/

Cité par Sources :