Mean Square Stability and $H_{2}$ -Control for Markov Jump Linear Systems with Multiplicative Noises and Partial Mode Information
| Autor: | C. C. Graciani Rodrigues, Marcelo D. Fragoso, Marcos G. Todorov |
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| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Markov chain 010102 general mathematics Multiplicative function Linear system Detector Structure (category theory) Mode (statistics) Context (language use) 02 engineering and technology 01 natural sciences 020901 industrial engineering & automation Cluster (physics) Applied mathematics 0101 mathematics Mathematics |
| Zdroj: | CDC |
| Popis: | In this paper, mean square stability and H 2 -control for Markov jump linear system (MJLS) with multiplicative noises are studied based on the context of partial information of the jumping parameter. We suppose the existence of a suitable detector which provides measurements of the Markov chain. The detector-based approach allows us to treat some existing scenarios in the MJLS literature with partial mode information, specifically: the case with complete observations, no information and cluster observations. Furthermore, the particular structure of the detector considered here support us to treat a new case where the detector should be missing mode information. The proposed results are given in terms of linear matrix inequalities. As a by product, H 2 -control design is applied to the dynamics of a vertical take-off and landing (VTOL) aircraft. |
| Databáze: | OpenAIRE |
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