Lyapunov optimization of a damped system (CROSBI ID 107248)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Cox, Steven J. ; Nakić, Ivica ; Rittmann, Annette ; Veselić, Krešimir
engleski
Lyapunov optimization of a damped system
Our aim is to optimize the damping of a linear vibrating system. The penalty function is the average total energy, which is equal to the trace of the corresponding Lyapunov solution. We prove the existence and the uniqueness of the global minimum, if the damping varies over the set of all possible positive definite matrices. The minimum is shown to be taken on the so-called modal critical damping, thus confirming a long existing conjecture. We also give some preliminary results concerning dampings which depend linearly on the viscosity parameters whereas the damper positions are kept fixed. We produce physical examples on which the minimum is taken on a negative viscosity or which have several local minima. Both phenomena seem to be a consequence of a bad choice of the damper positions.
Damped vibrational systems ; Optimal damping ; Parametrized damping
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Podaci o izdanju
53 (3-4)
2004.
187-194
objavljeno
0167-6911
1872-7956
10.1016/j.sysconle.2004.04.004