Stochastic stability and robust control for sampled-data systems with Markovian jump parameters
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Hu, Li-Sheng, Shi, Peng and Huang, Biao (2006) Stochastic stability and robust control for sampled-data systems with Markovian jump parameters. Journal of Mathematical Analysis and Applications, 313 (2). pp. 504-517. ISSN 0022-247X
Abstract
In this paper, the problems of stochastic stability and robust control for a class of uncertain sampled-data systems are studied. The systems consist of random jumping parameters described by finite-state semi-Markov process. Sufficient conditions for stochastic stability or exponential mean square stability of the systems are presented. The conditions for the existence of a sampled-data feedback control and a multirate sampled-data optimal control for the continuous-time uncertain Markovian jump systems are also obtained. The design procedure for robust multirate sampled-data control is formulated as linear matrix inequalities (LMIs), which can be solved efficiently by available software toolboxes. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the proposed techniques.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/3001 |
| DOI | 10.1016/j.jmaa.2005.08.019 |
| Official URL | http://www.sciencedirect.com/science?_ob=MImg&_ima... |
| Subjects | Historical > FOR Classification > 0906 Electrical and Electronic Engineering Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM) |
| Keywords | ResPubID18825, Markovian jump system, stochastic stability, robust control, sampled-data system, linear matrix inequality |
| Citations in Scopus | 58 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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