| Titre : | Stochastic finite-time stabilization for uncertain jump systems via state feedback (2010) |
| Auteurs : | Shuping He, Auteur ; Fei Liu, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 132 N° 3, Mai 2010) |
| Article en page(s) : | 04 p. |
| Note générale : | Systèmes dynamiques |
| Langues : | Anglais |
| Index. décimale : | 629.8 |
| Tags : | Linear matrix inequalities Lyapunov methods Markov processes Robust control State feedback |
| Résumé : | The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches. |
| DEWEY : | 629.8 |
| ISSN : | 0022-0434 |
| En ligne : | http://asmedl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JDSMAA000132000003034504000001&idtype=cvips&gifs=Yes&ref=no |
