Optimal Direct Velocity Feedback

作者: Ivica Nakić , Zoran Tomljanović , Ninoslav Truhar

DOI: 10.1016/J.AMC.2013.10.003

关键词:

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

参考文章(18)
Steven J. Cox, Designing for Optimal Energy Absorption II, The Damped Wave Equation International conference on control and estimation of distributed parameter systems. pp. 103- 109 ,(1998) , 10.1007/978-3-0348-8849-3_8
Ji-guang Sun, G. W. Stewart, Matrix perturbation theory ,(1990)
Bruno De Marneffe, André Preumont, Active and passive vibration isolation and damping via shunted transducers Université libre de Bruxelles. ,(2007)
P. Benner, Z. Tomljanović, N. Truhar, Dimension Reduction for Damping Optimization in Linear Vibrating Systems Journal of Applied Mathematics and Mechanics. ,vol. 91, pp. 179- 191 ,(2011) , 10.1002/ZAMM.201000077
Ji-guang Sun, Perturbation expansions for invariant subspaces Linear Algebra and its Applications. ,vol. 153, pp. 85- 97 ,(1991) , 10.1016/0024-3795(91)90212-F
K. Veseli?, On linear vibrational systems with one dimensional damping II Integral Equations and Operator Theory. ,vol. 13, pp. 883- 897 ,(1990) , 10.1007/BF01198923
GW Stewart,, A Mahajan,, Matrix Algorithms, Volume II: Eigensystems Applied Mechanics Reviews. ,vol. 56, ,(2001) , 10.1115/1.1523352
Steven J. Cox, Ivica Nakić, Annette Rittmann, Krešimir Veselić, Lyapunov optimization of a damped system Systems & Control Letters. ,vol. 53, pp. 187- 194 ,(2004) , 10.1016/J.SYSCONLE.2004.04.004