Conditions Of The Small Gain Theorem Assigned For Stability Analysis Of Uncertain Time-delay Systems [condições Lmi Do Teorema Do Ganho Pequeno Escalonado Para Análise De Estabilidade De Sistemas Incertos Com Atraso]

dc.creatorValmorbida G.
dc.creatorLeite V.J.S.
dc.creatorPeres P.L.D.
dc.date2007
dc.date2015-06-30T18:45:02Z
dc.date2015-11-26T14:33:31Z
dc.date2015-06-30T18:45:02Z
dc.date2015-11-26T14:33:31Z
dc.date.accessioned2018-03-28T21:36:55Z
dc.date.available2018-03-28T21:36:55Z
dc.identifier
dc.identifierControle Y Automacao. , v. 18, n. 4, p. 447 - 458, 2007.
dc.identifier1031759
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-39749199087&partnerID=40&md5=ad428d4eca69bc533107b962795e0fd4
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/104621
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/104621
dc.identifier2-s2.0-39749199087
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1247876
dc.descriptionRecently, it has been shown that some Lyapunov-based stability conditions for precisely known time-delay systems are equivalent to the robust stability of a delay-free comparison system through the small gain theorem with constant scales. The extension of those previous results to cope with uncertain time-delay systems in polytopic domains is the main contribution of this paper. From the definition of a generic system realization, linear matrix inequalities that are equivalent to the scaled small gain conditions but have extra matrix variables are given. Thanks to these extra matrices, delay-independent and delay-dependent stability conditions can be obtained for the analysis of time-delay systems in polytopic domains through parameter-dependent Lyapunov matrices, yielding conditions that are less conservative than others in the literature, as illustrated by means of numerical examples.
dc.description18
dc.description4
dc.description447
dc.description458
dc.descriptionBoyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory (1994) Studies in Applied Mathematics, , SIAM, Philadelphia, PA
dc.descriptionde Oliveira, M.C., Bernussou, J., Geromel, J.C., A new discrete-time robust stability condition (1999) Systems & Control Letters, 37 (4), pp. 261-265
dc.descriptionde Oliveira, M.C., Skelton, R.E., Stability tests for constrained linear systems (2001) Lecture Notes in Control and Information Science, 268, pp. 241-257. , S. O. Reza Moheimani ed, Perspectives in Robust Control, of, Springer-Verlag, New York, pp
dc.descriptionGahinet, P., Nemirovskii, A., Laub, A.J., Chilali, M., (1995) LMI Control Toolbox User's Guide, , The Math Works Inc, Natick, MA
dc.descriptionGu, K., Kharitonov, V.L., Chen, J., (2003) Stability of Time-delay Systems, Control Engineering, , Birkhäuser, Boston, MA
dc.descriptionHuang, Y., Zhou, K., Robust control of uncertain time delay systems (1999) Proceedings of the 38th IEEE Conference on Decision and Control, pp. 1130-1135
dc.descriptionLeite, V.J.S., Peres, P.L.D., An improved LMI condition for robust script P sign-stability of uncertain polytopic systems (2003) IEEE Transactions on Automatic Control, 48 (3), pp. 500-504
dc.descriptionLi, X., de Souza, C.E., LMI approach to delay-dependent robust stability and stabilization of uncertain linear delay systems (1995) Proceedings of the 34th IEEE Conference on Decision and Control, pp. 3614-3619
dc.descriptionLi, X., de Souza, C.E., Robust stabilization and H∞ of uncertain linear time-delay systems (1996) Proceedings of the 13th IFAC World Congress, H, pp. 113-118. , San Francisco, CA, pp
dc.descriptionMahmoud, M.S., Robust Control and Filtering for Time-Delay Systems (2000) Control Engineering Series, , Marcel Dekker, Inc, New York
dc.descriptionNiculescu, S.-I., On delay-dependent stability under model transformations of some neutral linear systems (2001) International Journal of Control, 74 (6), pp. 609-617
dc.descriptionNiculescu, S.-I., Chen, J., Frequency sweeping tests for asymptotic stability: A model transformation for multiple delays (1999) Proceedings of the 38th IEEE Conference on Decision and Control, pp. 4678-4683
dc.descriptionNiculescu, S.-I., Neto, A.T., Dion, J.-M., Dugard, L., Delay-dependent stability of linear systems with delayed state: An LMI approach (1995) Proceedings of the 34th IEEE Conference on Decision and Control, pp. 1495-1497
dc.descriptionPark, P., A delay-dependent stability criterion for systems with uncertain time-invariant delays (1999) IEEE Transactions on Automatic Control, 44 (3), pp. 876-487
dc.descriptionPeaucelle, D., Arzelier, D., Bachelier, O., Bernussou, J., A new robust ℘-stability condition for real convex polytopic uncertainty (2000) Systems & Control Letters, 40 (1), pp. 21-30
dc.descriptionPeres, P. L. D., Tarbouriech, S., Garcia, G. e Leite, V. J. S. (2003). Robust stability of time-delay continuous-time systems in polytopic domains, Proceedings of the 2003 European Control Conference, Cambridge, UK. in CD-romRamos, D.C.W., Peres, P.L.D., A less conservative LMI condition for the robust stability of discrete-time uncertain systems (2001) Systems & Control Letters, 43 (5), pp. 371-378
dc.descriptionRamos, D.C.W., Peres, P.L.D., An LMI condition for the robust stability of uncertain continuous-time linear systems (2002) IEEE Transactions on Automatic Control, 47 (4), pp. 675-678
dc.descriptionRichard, J.-P., Time-delay systems: An overview of some recent advances and open problems (2003) Automatica, 39 (10), pp. 1667-1694
dc.descriptionSturm, J.F., Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones (1999) Optimization Methods and Software, 11-12, pp. 625-653. , http://sedumi.mcmaster.ca, URL
dc.descriptionValmórbida, G., (2006) Estabilidade de sistemas com atraso: Análise de incertezas e de saturação empregando desigualdades matriciais lineares, , Master's thesis, Universidade Estadual de Campinas, Campinas, SP, Brazil
dc.descriptionVerriest, E.I., Fan, M.K.H., Kullstam, J., Frequency domain robust stability criteria for linear delay systems (1993) Proceedings of the 32nd IEEE Conference on Decision and Control, pp. 3473-3478
dc.descriptionZhang, J., Knospe, C., Tsiotras, P., Stability of time-delay systems: Equivalence between Lyapunov and scaled small-gain conditions (2001) IEEE Transactions on Automatic Control, 46 (3), pp. 482-486
dc.descriptionZhang, X., Tsiotras, P., Knospe, C., Stability analysis of LPV time-delayed systems (2002) International Journal of Control, 75 (7), pp. 538-558
dc.languagept
dc.publisher
dc.relationControle y Automacao
dc.rightsaberto
dc.sourceScopus
dc.titleConditions Of The Small Gain Theorem Assigned For Stability Analysis Of Uncertain Time-delay Systems [condições Lmi Do Teorema Do Ganho Pequeno Escalonado Para Análise De Estabilidade De Sistemas Incertos Com Atraso]
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución