Generalized time-limited balanced reduction method

Hamid Reza Shaker, Fatemeh Shaker

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

Resumé

In this paper, a new method for model reduction of bilinear systems is presented. The proposed technique is from the family of gramian-based model reduction methods. The method uses time-interval generalized gramians in the reduction procedure rather than the ordinary generalized gramians and in such a way it improves the accuracy of the approximation within the time-interval which the method is applied. The time-interval generalized gramians are the solutions to the generalized time-interval Lyapunov equations. The conditions for these equations to be solvable are derived and an algorithm is proposed to solve these equations iteratively. The method is further illustrated with the help of an example. The numerical results show that the method is more accurate than its previous counterpart which is based on the ordinary gramians.

OriginalsprogEngelsk
TitelProceedings of the American Control Conference
Antal sider6
Publikationsdato11. sep. 2013
Sider5530-5535
Artikelnummer6580703
ISBN (Trykt)9781479901777
StatusUdgivet - 11. sep. 2013
Udgivet eksterntJa

Citer dette

Shaker, H. R., & Shaker, F. (2013). Generalized time-limited balanced reduction method. I Proceedings of the American Control Conference (s. 5530-5535). [6580703]
Shaker, Hamid Reza ; Shaker, Fatemeh. / Generalized time-limited balanced reduction method. Proceedings of the American Control Conference. 2013. s. 5530-5535
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Shaker, HR & Shaker, F 2013, Generalized time-limited balanced reduction method. i Proceedings of the American Control Conference., 6580703, s. 5530-5535.

Generalized time-limited balanced reduction method. / Shaker, Hamid Reza; Shaker, Fatemeh.

Proceedings of the American Control Conference. 2013. s. 5530-5535 6580703.

Publikation: Bidrag til bog/antologi/rapport/konference-proceedingKonferencebidrag i proceedingsForskningpeer review

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N2 - In this paper, a new method for model reduction of bilinear systems is presented. The proposed technique is from the family of gramian-based model reduction methods. The method uses time-interval generalized gramians in the reduction procedure rather than the ordinary generalized gramians and in such a way it improves the accuracy of the approximation within the time-interval which the method is applied. The time-interval generalized gramians are the solutions to the generalized time-interval Lyapunov equations. The conditions for these equations to be solvable are derived and an algorithm is proposed to solve these equations iteratively. The method is further illustrated with the help of an example. The numerical results show that the method is more accurate than its previous counterpart which is based on the ordinary gramians.

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Shaker HR, Shaker F. Generalized time-limited balanced reduction method. I Proceedings of the American Control Conference. 2013. s. 5530-5535. 6580703