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Original Articles

A new frequency-domain subspace algorithm with restricted poles location through LMI regions and its application to a wind tunnel test

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Pages 779-799 | Received 15 Feb 2016, Accepted 24 Aug 2016, Published online: 21 Sep 2016

References

  • Apkarian, P., & Noll, D. (2006). Nonsmooth H∞ Synthesis. IEEE Transaction on Automatic Control, 51(1), 71–86.
  • Antoulas, A., Lefteriu, S., & Ionita, C. (2016). Model reduction and approximation theory and algorithms. In P. Benner A. Cohen M. Ohlberger K. Willcox (Eds.), A tutorial introduction to the Loewner framework for model reduction. Philadelphia, PA: SIAM.
  • Chilali, M., & Gahinet, P. (1996). H∞ design with pole placement constraints: An LMI approach. Automatic Control Automatic Control, 41(3), 358–367.
  • Chilali, M., Gahinet, P., & Apkarian, P. (1999). Robust pole placement in LMI regions. IEEE Transactions on Automatic Control, 44(12), 2257–2270.
  • Chui, N.L.C., & Maciejowski, J.M. (1996). Realization of stable models with subspace methods. IEEE Automatica, 32(11), 1587–1595.
  • Demourant, F., & Ferreres, G. (2002). A frequency-domain identification-control approach for a flexible aircraft. Proceedings of the 2002 international conference on control applications (pp. 126–131, Glasgow, Scotland).
  • Gugercin, S., Antoulas, A.C., & Beattie, C.A. (2008). H2 model reduction for large scale linear dynamical systems. SIAM Journal on Matrix Analysis and Applications, 30(2), 609–638.
  • Ionita, C. (2013). Lagrange rational interpolation and its applications to approximation of large-scale dynamical systems ( Doctoral dissertation). University of Houston, Houston, TX, USA.
  • Janot, A., Young, P.C., & Gautier, M. (2016). Identification and control of electromechanical systems using state-dependent parameter estimation. International Journal of Control, 10.1080/00207179.2016.1209565.
  • Lacy, S.L., & Bernstein, D.S. (2003). Subspace identification with guaranteed stability using constrained optimization. IEEE Transactions on Automatic Control, 48(7), 1259–1263.
  • Lacy, S.L., & Bernstein, D.S. (2005). Subspace identification for non-linear systems with measured-input non-linearities. International Journal of Control, 78(12), 906–926.
  • Leibfritz, F. (2003). COMPleib, constraint matrix-optimization problem library - a collection of test examples for nonlinear semidefinite programs, control system design and related problems ( Technical Report). Universitat Trier.
  • Lepage, A., Amosse, Y., Le Bihan, D., Poussot-Vassal, C., Brion, V., & Rantet, E. (2015). A complete experimental investigation of gust load: From generation to active control. Proceedings of the international forum on aeroelasticity and structural dynamics, Saint Petersbourg, Russia, June 2015.
  • Liu, K., Jacques, R., & Miller, D. (1996). Frequency-domain structural system identification by observability range space extraction. Journal of Dynamic Systems, Measurement, and Control, 118(2), 211–220.
  • Maciejowski, J.M. (1995). Guaranteed stability with subspace methods. Systems & Control Letters, 26(2), 153–156.
  • Marchesiello, S., & Garibaldi, L. (2008). A time-domain approach for identifying nonlinear vibrating structures by subspace methods. International Journal of Control, 22(1), 81–101.
  • Mayo, A.J., & Antoulas, A.C. (2007). A framework for the solution of the generalized realization problem. Linear Algebra and Its Applications, 425(2), 634–662.
  • McKelvey, T., Akcay, H., & Ljung, L. (1996). Subspace-based multivariable system identification from frequency response data. IEEE Transactions on Automatic Control, 41(7), 960–979.
  • Noel, J.P., & Kerschen, G. (2013). Frequency-domain subspace identification for nonlinear mechanical systems. Mechanical Systems and Signal Processing, 40(2), 701–717.
  • Pintelon, R. (2002). Frequency-domain subspace system identification using non-parametric noise models. Mechanical Systems and Signal Processing, 38(8), 1295–1311.
  • Poussot-Vassal, C., Demourant, F., Lepage, A., & Le Bihan, D. (2016). Gust load alleviation: A sub/transonic wind tunnel experimental validation of a 2D aeroelastic airfoil, IEEE Transactions on Control Systems Technology In revision.
  • Poussot-Vassal, C., & Roos, C. (2012). Generation of a reduced-order LPV/LFT model from a set of large-scale MIMO LTI flexible aircraft models. Control Engineering Practice, 20(9), 919–930.
  • Poussot-Vassal, C., & Sipp, D. (2015). Parametric reduced order dynamical model construction of a fluid flow control problem. Proceedings of the 1st workshop on linear parameter varying systems, Grenoble, France, October 2015 (pp. 133–138).
  • Poussot-Vassal, C., & Vuillemin, P. (2012). Introduction to more: A model reduction toolbox. Proceedings of the IEEE multi-conference on systems and control, Dubrovnik, Croatia (pp. 776–781).
  • Van-Dooren, P., Gallivan, K.A., & Absil, P.A. (2008). H2-optimal model reduction of MIMO systems. Applied Mathematics Letters, 21(12), 53–62.
  • Van Gestel, T., Suykens, J.A.K., Van Dooren, P., & De Moor, B. (2001). Identification of stable models in subspace identification by using regularization. IEEE Transactions on Automatic Control, 46(9), 1416–1420.

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