References
The works cited in the theory pages. Where a method is standard, the reference is the statement of it that VANE follows.
Allemang, R. J. (2003). The modal assurance criterion: twenty years of use and abuse. Sound and Vibration, 37(8), 14–23.
Bar-Shalom, Y., Li, X. R., & Kirubarajan, T. (2001). Estimation with Applications to Tracking and Navigation. Wiley. https://doi.org/10.1002/0471221279
Barlow, R. E., Bartholomew, D. J., Bremner, J. M., & Brunk, H. D. (1972). Statistical Inference Under Order Restrictions: The Theory and Application of Isotonic Regression. Wiley.
Bir, G. (2008). Multi-blade coordinate transformation and its application to wind turbine analysis. 46th AIAA Aerospace Sciences Meeting and Exhibit (ASME Wind Energy Symposium), Reno, NV. NREL/CP-500-42553. https://doi.org/10.2514/6.2008-1300
Branlard, E., Jonkman, J., Brown, C., & Zhang, J. (2024). A digital twin solution for floating offshore wind turbines validated using a full-scale prototype. Wind Energy Science, 9, 1–24. https://doi.org/10.5194/wes-9-1-2024
Brier, G. W. (1950). Verification of forecasts expressed in terms of probability. Monthly Weather Review, 78(1), 1–3. https://doi.org/10.1175/1520-0493(1950)078%3C0001:VOFEIT%3E2.0.CO;2
Coleman, R. P., & Feingold, A. M. (1958). Theory of Self-Excited Mechanical Oscillations of Helicopter Rotors with Hinged Blades. NACA Report 1351.
Floquet, G. (1883). Sur les équations différentielles linéaires à coefficients périodiques. Annales scientifiques de l’École Normale Supérieure, 12, 47–88. https://doi.org/10.24033/asens.220
Glover, K. (1984). All optimal Hankel-norm approximations of linear multivariable systems and their \(L^\infty\)-error bounds. International Journal of Control, 39(6), 1115–1193. https://doi.org/10.1080/00207178408933239
Hall, M., Buckham, B., & Crawford, C. (2014). Evaluating the importance of mooring line model fidelity in floating offshore wind turbine simulations. Wind Energy, 17(12), 1835–1853. https://doi.org/10.1002/we.1669
Hill, G. W. (1886). On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon. Acta Mathematica, 8, 1–36. https://doi.org/10.1007/BF02417081
Jonkman, J., Butterfield, S., Musial, W., & Scott, G. (2009). Definition of a 5-MW Reference Wind Turbine for Offshore System Development. Technical Report NREL/TP-500-38060, National Renewable Energy Laboratory. https://doi.org/10.2172/947422
Joshi, S., & Boyd, S. (2009). Sensor selection via convex optimization. IEEE Transactions on Signal Processing, 57(2), 451–462. https://doi.org/10.1109/TSP.2008.2007095
Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82(1), 35–45. https://doi.org/10.1115/1.3662552
Moore, B. C. (1981). Principal component analysis in linear systems: controllability, observability, and model reduction. IEEE Transactions on Automatic Control, 26(1), 17–32. https://doi.org/10.1109/TAC.1981.1102568
Rauch, H. E., Tung, F., & Striebel, C. T. (1965). Maximum likelihood estimates of linear dynamic systems. AIAA Journal, 3(8), 1445–1450. https://doi.org/10.2514/3.3166
Rugh, W. J., & Shamma, J. S. (2000). Research on gain scheduling. Automatica, 36(10), 1401–1425. https://doi.org/10.1016/S0005-1098(00)00058-3
Skjoldan, P. F., & Hansen, M. H. (2009). On the similarity of the Coleman and Lyapunov–Floquet transformations for modal analysis of bladed rotor structures. Journal of Sound and Vibration, 327(3–5), 424–439. https://doi.org/10.1016/j.jsv.2009.07.007
Vacher, P., Jacquier, B., & Bucharles, A. (2010). Extensions of the MAC criterion to complex modes. Proceedings of ISMA 2010 International Conference on Noise and Vibration Engineering, Leuven, 2713–2726.
Van Loan, C. F. (1978). Computing integrals involving the matrix exponential. IEEE Transactions on Automatic Control, 23(3), 395–404. https://doi.org/10.1109/TAC.1978.1101743
Wilkinson, J. H. (1965). The Algebraic Eigenvalue Problem. Clarendon Press, Oxford.