Gain-scheduled H∞-control For Discrete-time Polytopic Lpv Systems Using Homogeneous Polynomially Parameter-dependent Lyapunov Functions

dc.creatorDe Caigny J.
dc.creatorCamino J.F.
dc.creatorOliveira R.C.L.F.
dc.creatorPeres P.L.D.
dc.creatorSwevers J.
dc.date2009
dc.date2015-06-26T13:38:02Z
dc.date2015-11-26T15:39:17Z
dc.date2015-06-26T13:38:02Z
dc.date2015-11-26T15:39:17Z
dc.date.accessioned2018-03-28T22:47:47Z
dc.date.available2018-03-28T22:47:47Z
dc.identifier9783902661456
dc.identifierIfac Proceedings Volumes (ifac-papersonline). , v. 6, n. PART 1, p. 19 - 24, 2009.
dc.identifier14746670
dc.identifier10.3182/20090616-3-IL-2002.0021
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-78650820444&partnerID=40&md5=9988df67fb03e2472b996b9c9aa171d2
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/92935
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/92935
dc.identifier2-s2.0-78650820444
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1264105
dc.descriptionThis paper presents H∞ performance analysis and control synthesis for discrete-time linear systems with time-varying parameters. The parameters are assumed to vary inside a polytope and have known bounds on their rate of variation. The geometric properties of the polytopic domain are exploited to derive parameter-dependent linear matrix inequality conditions that consider the bounds on the rate of variation of the parameters. A systematic procedure is proposed to construct a family of finite-dimensional relaxations based on Pólya's Theorem and a homogeneous polynomially parameter dependent parameterization of arbitrary degree for the Lyapunov matrix. A numerical example illustrates the proposed approach. © 2009 IFAC.
dc.description6
dc.descriptionPART 1
dc.description19
dc.description24
dc.descriptionAmato, F., Mattei, M., Pironti, A., Gain scheduled control for discrete-time systems depending on bounded rate parameters (2005) International Journal of Robust and Nonlinear Control, 15 (11), pp. 473-494. , DOI 10.1002/rnc.1001
dc.descriptionApkarian, P., Adams, R.J., Advanced gain-scheduling techniques for uncertain systems (1998) IEEE Transactions on Control Systems Technology, 6 (1), pp. 21-32. , PII S1063653698005806
dc.descriptionApkarian, P., Gahinet, P., Becker, G., Self-scheduled H∞ control of linear parameter-varying systems - A design example (1995) Automatica, 31 (9), pp. 1251-1261
dc.descriptionBernussou, J., Peres, P.L.D., Geromel, J.C., A linear programming oriented procedure for quadratic stabilization of uncertain systems (1989) Syst. Contr. Lett., 13 (1), pp. 65-72. , July
dc.descriptionBoyd, S., El Ghaoui, L., Feron, E., Balakrishnan, V., Linear matrix inequalities in systems and control theory (1994) Stud. Appl. Math, 15. , SIAM, Philadelphia
dc.descriptionDaafouz, J., Bernussou, J., Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties (2001) Systems and Control Letters, 43 (5), pp. 355-359. , DOI 10.1016/S0167-6911(01)00118-9, PII S0167691101001189
dc.descriptionDe Caigny, J., Camino, J.F., Oliveira, R.C.L.F., Peres, P.L.D., Swevers, J., Gain-scheduled H∞-control of discrete-time polytopic time-varying systems (2008) Proc. 47th IEEE Conf. Decision Control, , Cancun, Mexico, December
dc.descriptionDe Caigny, J., Camino, J.F., Oliveira, R.C.L.F., Peres, P.L.D., Swevers, J., Gain-scheduled H2 and H∞ control of discrete-time polytopic time-varying systems (2008) IET Control Theory Appl., , Submitted
dc.descriptionDe 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
dc.descriptionDe Souza, C.E., Barbosa, K.A., Trofino Neto, A., Robust H∞ filtering for discrete-time linear systems with uncertain time-varying parameters (2006) IEEE Transactions on Signal Processing, 54 (6), pp. 2110-2118. , DOI 10.1109/TSP.2006.874349
dc.descriptionKailath, T., (1980) Linear Systems, , Prentice-Hall, Upper Saddle River, NJ, USA
dc.descriptionKhargonekar, P.P., Kaminer, I., Rotea, M.A., Mixed H2/H∞ control for discrete-time systems via convex optimization (1993) Automatica, 29 (1), pp. 50-77
dc.descriptionLeite, V.J.S., Peres, P.L.D., Robust control through piecewise Lyapunov functions for discrete time-varying uncertain systems (2004) Int. J. Control, 77 (3), pp. 230-238
dc.descriptionLeith, D.J., Leithead, W.E., Survey of gain-scheduling analysis and design (2000) International Journal of Control, 73 (11), pp. 1001-1025. , DOI 10.1080/002071700411304
dc.descriptionMontagner, V.F., Oliveira, R.C.L.F., Leite, V.J.S., Peres, P.L.D., Gain scheduled state feedback control of discrete-time systems with time-varying uncertainties: An LMI approach (2005) Proc. 44th IEEE Conf. Decision Control - Eur. Control Conf. ECC 2005, pp. 4305-4310. , Seville, Spain, December
dc.descriptionMontagner, V.F., Oliveira, R.C.L.F., Leite, V.J.S., Peres, P.L.D., LMI approach for H∞ linear parameter-varying state feedback control (2005) IEE Proceedings: Control Theory and Applications, 152 (2), pp. 195-201. , DOI 10.1049/ip-cta:20045117
dc.descriptionMontagner, V.F., Oliveira, R.C.L.F., Peres, P.L.D., Design of H∞ gain-scheduled controllers for linear time-varying systems by means of polynomial Lyapunov functions (2006) Proceedings of the IEEE Conference on Decision and Control, pp. 5839-5844. , 4177587, Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
dc.descriptionOliveira, R.C.L.F., Peres, P.L.D., Parameter-dependent LMIs in robust analysis: Characterization of homogeneous polynomially parameter-dependent solutions via LMI relaxations (2007) IEEE Transactions on Automatic Control, 52 (7), pp. 1334-1340. , DOI 10.1109/TAC.2007.900848
dc.descriptionOliveira, R.C.L.F., Peres, P.L.D., Robust stability analysis and control design for time-varying discrete-time polytopic systems with bounded parameter variation (2008) Proc. 2008 Amer. Control Conf., pp. 3094-3099. , Seattle, WA, USA, June
dc.descriptionPackard, A., Gain scheduling via linear fractional transformations (1994) Syst. Contr. Lett., 22 (2), pp. 79-92
dc.descriptionRugh, W.J., Shamma, J.S., Research on gain scheduling (2000) Automatica, 36 (10), pp. 1401-1425
dc.descriptionScherer, C.W., LPV control and full block multipliers (2001) Automatica, 37 (3), pp. 361-375. , DOI 10.1016/S0005-1098(00)00176-X
dc.descriptionScherer, C.W., Relaxations for robust linear matrix inequality problems with verifications for exactness (2005) SIAM J. Matrix Anal. Appl., 27 (2), pp. 365-395
dc.descriptionShamma Jeff, S., Athans Michael, Guaranteed properties of gain scheduled control for linear parameter-varying plants (1991) Automatica, 27 (3), pp. 559-564. , DOI 10.1016/0005-1098(91)90116-J
dc.descriptionShamma, J.S., Athans, M., Gain scheduling: Potential hazards and possible remedies (1992) IEEE Control Syst. Mag., 12 (3), pp. 101-107
dc.languageen
dc.publisher
dc.relationIFAC Proceedings Volumes (IFAC-PapersOnline)
dc.rightsfechado
dc.sourceScopus
dc.titleGain-scheduled H∞-control For Discrete-time Polytopic Lpv Systems Using Homogeneous Polynomially Parameter-dependent Lyapunov Functions
dc.typeActas de congresos


Este ítem pertenece a la siguiente institución