Topics in Modal Analysis, Volume 7

342 M.K. Vakilzadeh et al. sensitivity to the type of input. The resulted approximation error for linear chirp showed that semi-infinite modal dominancy index is not capable to yield reduced-order models which capture the input-output behavior of the original system as well as the frequency-restricted dominancy criterion. References 1. Antoulas AC (2005) Approximation of large-scale dynamical. Society for Industrial and Applied Mathematics, Philadelphia 2. Noor AK (1994) Recent advances and applications of reduction methods. Appl Mech Rev 47(5):125–146 3. Ersal T, Fathy HK, Rideout DG, Louca LS, Stein JL (2008) A review of proper modeling techniques. J Dyn Syst Measur Control Trans ASME 130(6):0610081–06100813. doi:10.1115/1.2977484 4. Varga A (1995) Enhanced modal approach for model reduction. Math Modell Syst 1(2):91–105. doi:10.1080/13873959508837010 5. Qu ZQ (2004) Model order reduction techniques: with application in finite element analysis. Springer, New York 6. Davison E (1966) A method for simplifying linear dynamic systems. Auto Control IEEE Trans 11(1):93–101. doi:10.1109/tac.1966.1098264 7. Rommes J, Martins N (2007) Computing transfer function dominant poles of large-scale second-order dynamical systems. SIAM J Sci Comput 30(4):2137–2157. doi:10.1137/070684562 8. Rommes J, Martins N (2006) Efficient computation of multivariable transfer function dominant poles using subspace acceleration. IEEE Trans Power Syst 21(4):1471–1483. doi:10.1109/tpwrs.2006.881154 9. Skelton RE, Yousuff A (1983) Component cost analysis of large scale systems. Int J Control 37(2):285–304 10. Skelton RE (1980) Cost decomposition of linear systems with application to model reduction. Int J Control 32(6):1031–1055 11. Lastman GJ, Sinha NK, Rozsa P (1984) On the selection of states to be retained in a reduced-order model. IEE Proc D: Control Theory Appl 131(1):15–22 12. Aguirre LA (1993) Quantitative measure of modal dominance continuous systems. In: Anon (ed) Proceedings of the 32nd IEEE conference on decision and control, Part 3 (of 4), San Antonio, TX. IEEE, pp 2405–2410 doi: 10.1109/CDC.1993.325629 13. Green M, Limebeer DJN (1995) Linear robust control, reprint edn. Prentice Hall, Englewood Cliffs 14. Ewins DJ (2001) Modal testing: theory, practice and application. Res Stud Press, Letchworth

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