Artículos de revistas
H∞ Model Reduction With Application To Flexible Systems
Registro en:
Ieee Transactions On Automatic Control. , v. 50, n. 3, p. 402 - 406, 2005.
189286
10.1109/TAC.2005.843855
2-s2.0-16244395841
Autor
Geromel J.C.
Egas R.G.
Kawaoka F.R.R.
Institución
Resumen
In this note, H∞ model reduction of continuous time linear systems is revisited. The main objective is to define a convex programming problem expressed in terms of linear matrix inequalities which provides a good suboptimal solution to the model reduction problem. The quality of the proposed suboptimal solution is assessed through comparisons, performed via simulation, with the already classical balanced truncation method, leading to the conclusion that the proposed method performs significantly better. Finally, the proposed method is applied to the determination of a reduced order model of a flexible bar. © 2005 IEEE. 50 3 402 406 Anderson, B.D.O., Liu, Y., "Controller reduction: Concepts and approaches" (1989) IEEE Trans. Autom. Control, 34 (8), pp. 802-812. , Aug Boyd, S.P., El Ghaoui, L., Feron, E., Balakrishnan, V., (1994) Linear Matrix Inequalities in System and Control Theory, , Philadelphia, PA: SIAM Ebihara, Y., Hagiwara, T., "On H∞ model reduction using LMIs" (2004) IEEE Trans. Autom. Control, 49 (7), pp. 1187-1191. , Jul Geromel, J.C., "Convex analysis and global optimization of joint actuator location and control problems" (1989) IEEE Trans. Autom. Control, 34 (7), pp. 711-720. , Jul Geromel, J.C., "Optimal linear filtering under parameter uncertainty" (1999) IEEE Trans. Signal Process., 47 (1), pp. 168-175. , Jan Geromel, J.C., Kawaoka, F.R.R., Egas, R.G., "Model reduction of discrete time systems through linear matrix inequalities" (2004) Int. J. Control, 77 (10), pp. 978-984. , Jul Glover, K., "All optimal Hankel-norm approximations of linear multivariable systems and their L∞-error bounds" (1984) Int. J. Control, 39 (6), pp. 1115-1193 Grigoriadis, K.M., "Optimal H∞ model reduction via linear matrix inequalities: Continuous and discrete-time cases" (1995) Syst. Control Lett., 26 (5), pp. 321-333 Haddad, W.M., Bernstein, D.S., "Combined L2/H∞ model-reduction" (1989) Int. J. Control, 49 (5), pp. 1523-1535 Meirovitch, L., Baruh, H., Öz, H., "A comparison of control techniques for large flexible systems" (1983) J. Guid., 6 (4) Scherer, C., "Mixed H2/H∞ control" (1995) Trends in Control: A European Perspective, pp. 173-216. , A. Isidori, Ed. New York: Springer-Verlag Skelton, R.E., Oliveira, M.C., "Model reduction" (2001) The Encyclopedia of Life Support Systems, , H. Ünbehauen, Ed. Oxford, U.K.: EOLSS Skelton, R.E., Iwasaki, T., Grigoriadis, K., (1997) A Unified Algebraic Approach to Control Design, , London, U.K.: Taylor Francis