Naslov
Optimal Direct Velocity Feedback

Autori
Nakić, Ivica ; Tomljanović, Zoran ; Truhar, Ninoslav

Izvornik
Applied mathematics and computation (0096-3003) 225 (2013); 590-600

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
direct velocity feedback; energy minimization; Lyapunov equation; quadratic eigenvalue problem; eigenvalue behavior

Sažetak
We present a novel approach to the problem of Direct Velocity Feedback (DVF) optimiza- tion of vibrational structures, which treats simultaneously small as well as large gains. For that purpose, we use two different approaches. The first one is based on the gains optimization using the Lyapunov equation. In the scope of this approach we present a new formula for the optimal gain and we present a relative error for modal approximation. In addition, we present a new formula for the solution of the corresponding Lyapunov equation for the case with multiple undamped eigenfrequencies, which is a generalization of existing formulae. The second approach studies the behavior of the eigenvalues of the corresponding quadratic eigenvalue problem. Since this approach leads to the parametric eigenvalue problem we con- sider small and large gains separately. For the small gains, which are connected to a modal damping approximation, we present a standard approach based on Gerschgorin discs. For the large gains we present a new approach which allows us to approximate all eigenvalues very accurately and efficiently.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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