Actas de congresos
H∞ Guaranteed Cost Of Neutral Systems With Time-varying Delay
Registro en:
9783902661104
Ifac Proceedings Volumes (ifac-papersonline). , v. 5, n. PART 1, p. 447 - 452, 2006.
14746670
2-s2.0-80051596798
Autor
Leite V.J.S.
Peres P.L.D.
Castelan E.B.
Tarbouriech S.
Institución
Resumen
Linear matrix inequality (LMI) conditions are given for the computation of H∞ guaranteed costs for neutral systems with time-varying delay in the state vector. All the system matrices are supposed to be uncertain and time-invariant, belonging to a polytope with known vertices. The H ∞ guaranteed costs are assured by means of a parameterdependent Lyapunov-Krasovskii functional providing less conservative results than those available in the literature in the context of delay independent conditions. LMI conditions for special cases such as delay free systems and retarded systems with time-varying delays can be obtained from the proposed conditions by congruence transformations. Copyright © 2006 IFAC. 5 PART 1 447 452 Arzelier, D., Bernussou, J., Peaucelle, D., Fonctions de Lyapunov dependent des paramètres pour l'analyse et la synthèse robustes (2002) Conception de Commandes Robustes, pp. 189-227. , (J. Bernussou and A. Oustaloup, Eds.). Chap. 6. Hermes. Paris Boyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V., (1994) Linear Matrix Inequalities in System and Control Theory, , SIAM Studies in Applied Mathematics. Philadelphia, PA De Oliveira, M.C., Skelton, R.E., Stability tests for constrained linear systems (2001) Lecture Notes in Control and Information Science, 268, pp. 241-257. , Perspectives in Robust Control (S. O. Reza Moheimani, Ed.). Springer-Verlag. New York De Oliveira, M.C., Geromel, J.C., Bernussou, J., Extended H2 and H∞ norm characterizations and controller parametrizations for discrete-time systems (2002) International Journal of Control, 75 (9), pp. 666-679. , DOI 10.1080/00207170210140212 De Oliveira, P.J., Oliveira, R.C.L.F., Leite, V.J.S., Montagner, V.F., Peres, P.L.D., H∞ guaranteed cost computation by means of parameter dependent Lyapunov functions (2004) Automatica, 40 (6), pp. 1053-1061 De Souza, C.E., Li, X., Delay-dependent robust H∞ control of uncertain linear state-delayed systems (1999) Automatica, 35 (7), pp. 1313-1321 Fridman, E., Shaked, U., An improved stabilization method for linear time-delay systems (2002) IEEE Transactions on Automatic Control, 47 (11), pp. 1931-1937. , DOI 10.1109/TAC.2002.804462 Fridman, E., Shaked, U., Delay-dependent stability and H∞ control: Constant and timevarying delays (2003) Int. J. Contr., 76 (1), pp. 48-60 Gahinet, P., Nemirovskii, A., Laub, A.J., Chilali, M., (1995) LMI Control Toolbox User's Guide, , The Math Works Inc., Natick, MA Goncalves, E.N., Palhares, R.M., Takahashi, R.H.C., Improved optimisation approach to the robust H2/H ∞ control problem for linear systems (2005) IEE Proceedings: Control Theory and Applications, 152 (2), pp. 171-176. , DOI 10.1049/ip-cta:20045041 Gu, K., Niculescu, S.-I., Further remarks on additional dynamics in various model transformations of linear delay systems (2001) IEEE Transactions on Automatic Control, 46 (3), pp. 497-500. , DOI 10.1109/9.911431, PII S0018928601010133 Hale, J., (1977) Theory of Functional Differential Equations, , Springer- Verlag. New York Jeung, E.T., Kwon, S.H., Kim, J.H., Park, H.B., An LMI approach to H∞ control for linear delay systems (1998) Proc. 1998 Amer. Control Conf., pp. 2398-2402. , Philadelphia, PA Leite, V.J.S., Peres, P.L.D., An improved LMI condition for robust D-stability of uncertain polytopic systems (2003) IEEE Trans. Automat. Contr., 48 (3), pp. 500-504 Leite, V.J.S., Peres, P.L.D., Castelan, E.B., Tarbouriech, S., On the robust stability of neutral systems with time-varying delays (2005) Proc. 16th IFAC World Congr., , Prague, Czech Republic Niculescu, S.-I., On delay-dependent stability under model transformations of some neutral linear systems (2001) Int. J. Contr., 74 (6), pp. 609-617 Palhares, R.M., Campos, C.D., Ekel, P.Ya., Leles, M.C.R., D'Angelo, M.F.S.V., Delay-dependent robust H∞ control of uncertain linear systems with lumped delays (2005) IEE Proceedings: Control Theory and Applications, 152 (1), pp. 27-33. , DOI 10.1049/ip-cta:20041225 Palhares, R.M., Takahashi, R.H.C., Peres, P.L.D., ∞ and 2 guaranteed costs computation for uncertain linear systems (1997) International Journal of Systems Science, 28 (2), pp. 183-188 Richard, J.-P., Time-delay systems: An overview of some recent advances and open problems (2003) Automatica, 39 (10), pp. 1667-1694 Xu, S., Lam, J., Yang, C., Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay (2001) Systems and Control Letters, 43 (2), pp. 77-84. , DOI 10.1016/S0167-6911(00)00113-4, PII S0167691100001134 Xu, S., Lam, J., Yang, C., Verriest, E.I., An LMI approach to guaranteed cost control for uncertain linear neutral delay systems (2003) Int. J. Robust Nonlinear Contr., 13 (1), pp. 35-53