Change Browser!
Change Browser
Robust filtering in continuous systems with random jump parameters
The robust filtering synthesis algorithm, which determine the state vector estimates of continuous-time linear dynamical systems withMarkovian jumping parameters is considered. Transmission coefficients of filter are offered to choose on the minimum of sum tracecovariance matrix of filtering error and weighted innovation process covariance with probabilities of the state jumping parameter averaging.The conditions are obtained, which ensure the asymptotic stability of robust filter for the time-invariant system.
Keywords
Authors
| Lomakina S.S. | Tomsk State University | loman_sev@mail.ru |
| Smagin V.I. | Tomsk State University | vsm@fpmk.tsu.ru |
Всего: 2
References
Mariton M. On the influence of noise on jump linear systems // IEEE Trans. Automat. Control. 1987. V. AC-32. No. 12. Р. 1094-1097.
Dufour P., Bertrand P. The filtering problem for continuous-time systems with Markovian switching coefficients // Systems and Control Letters. 1994. V. 25. No. 5. P.453-461.
Athans M. The matrix minimum principle // Information and Control. 1968. V.11. Р. 592-606.
Ланкастер П. Теория матриц. М.: Наука, 1978.
Барбашин Е.А. Функции Ляпунова. М.: Наука, 1970.
Уонем М. Линейные многомерные системы управления. М.: Наука, 1980.
Robust filtering in continuous systems with random jump parameters | Vestnik Tomskogo gosudarstvennogo universiteta – Tomsk State University Journal. 2003. № 280.
Download file