Observer-based finite-time stabilization for extended Markov jump systems
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Luan, Xiaoli, Liu, Fei and Shi, Peng (2011) Observer-based finite-time stabilization for extended Markov jump systems. Asian Journal of Control, 13 (6). pp. 925-935. ISSN 1561-8625
Abstract
In this paper, we study the problem of observer-based finite-time stabilization for a class of extended Markov jump systems with norm-bounded uncertainties and external disturbances. The stochastic character under consideration is governed by a finite-state Markov process, but with only partial information on the transition jump rates. Based on the finite-time stability analysis, sufficient conditions for the existence of the observer-based controller are derived via a linear matrix inequality approach such that the closed-loop system trajectory stays within a prescribed bound in a fixed time interval. When these conditions are satisfied, the designed observer-based controller gain matrices can be obtained by solving a convex optimization problem. Simulation results demonstrate the effectiveness of the approaches proposed in this paper.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/10374 |
| DOI | 10.1002/asjc.262 |
| Official URL | http://onlinelibrary.wiley.com/doi/10.1002/asjc.26... |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0801 Artificial Intelligence and Image Processing Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) |
| Keywords | ResPubID24890, Markov jump systems, MJS, finite-time stabilization, FTS, observer, transition probabilities, Euclidean space |
| Citations in Scopus | 14 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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