H∞filter Design For Nonlinear Polynomial Systems

dc.creatorLacerda M.J.
dc.creatorTarbouriech S.
dc.creatorGarcia G.
dc.creatorPeres P.L.D.
dc.date2014
dc.date2015-06-25T18:02:33Z
dc.date2015-11-26T15:04:43Z
dc.date2015-06-25T18:02:33Z
dc.date2015-11-26T15:04:43Z
dc.date.accessioned2018-03-28T22:15:34Z
dc.date.available2018-03-28T22:15:34Z
dc.identifier
dc.identifierSystems And Control Letters. Elsevier, v. 70, n. , p. 77 - 84, 2014.
dc.identifier1676911
dc.identifier10.1016/j.sysconle.2014.05.014
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84902653802&partnerID=40&md5=f5c2dd2f9e91f2ed7f8918de61e683c3
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/87857
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/87857
dc.identifier2-s2.0-84902653802
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1256922
dc.descriptionThe problem of H∞filter design for continuous-time nonlinear polynomial systems is addressed in this paper. The aim is to design a full order dynamic filter that depends polynomially on the filter states. The strategy relies on the use of a quadratic Lyapunov function and an inequality condition that assures an H∞performance bound for the augmented polynomial system, composed by the original system and the filter to be designed, in a regional (local) context. Then, by using Finsler's lemma, an enlarged parameter space is created, where the Lyapunov matrix appears separated from the system matrices in the conditions. Imposing structural constraints to the decision variables and fixing some values for a scalar parameter, design conditions for the H∞filter can be obtained in terms of linear matrix inequalities. As illustrated by numerical experiments, the proposed conditions can improve the H∞performance provided by standard linear filtering by including the polynomial terms in the filter dynamics. © 2014 Elsevier B.V. All rights reserved.
dc.description70
dc.description
dc.description77
dc.description84
dc.descriptionGeromel, J.C., Optimal linear filtering under parameter uncertainty (1999) IEEE Trans. Signal Process., 47 (1), pp. 168-175
dc.descriptionDe Souza, C.E., Trofino, A., A linear matrix inequality approach to the design of robust H 2 filters (2000) Advances in Linear Matrix Inequality Methods in Control, pp. 175-185. , L. El Ghaoui, S.I. Niculescu, Advances in Design and Control SIAM Philadelphia, PA
dc.descriptionGeromel, J.C., Bernussou, J., Garcia, G., Deoliveira, M.C., H 2 and H∞ robust filtering for discrete-time linear systems (2000) SIAM J. Control Optim., 38 (5), pp. 1353-1368
dc.descriptionGeromel, J.C., De Oliveira, M.C., H2 and H∞ robust filtering for convex bounded uncertain systems (2001) IEEE Transactions on Automatic Control, 46 (1), pp. 100-107. , DOI 10.1109/9.898699
dc.descriptionXie, L., Lu, L., Zhang, D., Zhang, H., Improved robust H 2 and H∞ filtering for uncertain discrete-time systems (2004) Automatica, 40 (5), pp. 873-880
dc.descriptionBarbosa, K.A., De Souza, C.E., Trofino, A., Robust H2 filtering for uncertain linear systems: LMI based methods with parametric Lyapunov functions (2005) Systems and Control Letters, 54 (3), pp. 251-262. , DOI 10.1016/j.sysconle.2004.08.010, PII S0167691104001379
dc.descriptionDuan, Z., Zhang, J., Zhang, C., Mosca, E., Robust H2 and H∞ filtering for uncertain linear systems (2006) Automatica, 42 (11), pp. 1919-1926. , DOI 10.1016/j.automatica.2006.06.004, PII S0005109806002457
dc.descriptionGao, H., Meng, X., Chen, T., A new design of robust H2 filters for uncertain systems (2008) Systems and Control Letters, 57 (7), pp. 585-593. , DOI 10.1016/j.sysconle.2007.12.008, PII S016769110700182X
dc.descriptionLacerda, M.J., Oliveira, R.C.L.F., Peres, P.L.D., Robust H 2 and H∞ filter design for uncertain linear systems via LMIs and polynomial matrices (2011) Signal Process., 91 (5), pp. 1115-1122
dc.descriptionGao, H., Wang, C., Delay-dependent robust H∞ filtering for a class of uncertain nonlinear time-delay systems (2003) IEEE Trans. Automat. Control, 48 (9), pp. 1661-1666
dc.descriptionCoutinho, D.F., Desouza, C.E., Barbosa, K.A., Trofino, A., Robust linear H∞ filter design for a class of uncertain nonlinear systems: An LMI approach (2009) SIAM J. Control Optim., 48 (3), pp. 1452-1472
dc.descriptionBasin, M.V., Shi, P., Calderon-Alvarez, D., Central suboptimal H∞ filter design for nonlinear polynomial systems (2009) Internat. J. Adapt. Control Signal Process., 23 (10), pp. 926-939
dc.descriptionLi, P., Lam, J., Chesi, G., On the synthesis of linear H∞ filters for polynomial systems (2012) Systems Control Lett., 61 (1), pp. 31-36
dc.descriptionFranzè, G., Famularo, D., A robust fault detection filter for polynomial nonlinear systems via sum-of-squares decompositions (2012) Systems Control Lett., 61 (8), pp. 839-848
dc.descriptionKhalil, H.K., (2002) Nonlinear Systems, , third ed. Prentice Hall Upper Saddle River, NJ
dc.descriptionChesi, G., (2011) Domain of Attraction: Analysis and Control Via SOS Programming, Volume 415 of Lecture Notes in Control and Information Sciences, , Springer London, UK
dc.descriptionKoditschek, D.E., Narendra, K.S., The stability of second order quadratic differential equations (1982) IEEE Trans. Automat. Control, 27 (4), pp. 783-798
dc.descriptionValmórbida, G., Tarbouriech, S., Garcia, G., Design of polynomial control laws for polynomial systems subject to actuator saturation (2013) IEEE Trans. Automat. Control, 58 (7), pp. 1758-1770
dc.descriptionAmato, F., Cosentino, C., Merola, A., On the region of attraction of nonlinear quadratic systems (2007) Automatica, 43 (12), pp. 2119-2123. , DOI 10.1016/j.automatica.2007.03.022, PII S0005109807002166
dc.descriptionAmato, F., Ariola, M., Consentino, C., Merola, A., Output feedback control of nonlinear quadratic systems (2010) Proceedings of the 49th IEEE Conference on Decision and Control, pp. 3349-3354. , Atlanta, GA, USA, December
dc.descriptionHenrion, D., Korda, M., Convex computation of the region of attraction of polynomial control systems (2014) IEEE Trans. Automat. Control, 59 (2), pp. 297-312
dc.descriptionValmórbida, G., Tarbouriech, S., Garcia, G., State feedback design for input-saturating quadratic systems (2010) Automatica, 46 (7), pp. 1196-1202
dc.descriptionLacerda, M.J., Tarbouriech, S., Garcia, G., Peres, P.L.D., H∞ filter design for nonlinear quadratic systems (2013) Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), pp. 634-639. , Toulouse, France, September
dc.descriptionValmórbida, G., Region of attraction estimates for polynomial systems (2009) Proceedings of the 48th IEEE Conference on Decision and Control - 28th Chinese Control Conference, pp. 5947-5952. , Shanghai, PR China, December
dc.descriptionZheng, Q., Wu, F., Regional stabilisation of polynomial non-linear systems using rational Lyapunov functions (2009) Internat. J. Control, 82 (9), pp. 1605-1615
dc.descriptionDe Oliveira, M.C., Skelton, R.E., Stability tests for constrained linear systems (2001) Perspectives in Robust Control, 268, pp. 241-257. , S.O. Reza Moheimani, Lecture Notes in Control and Information Science Springer-Verlag New York, NY
dc.descriptionGahinet, P., Nemirovskii, A., Laub, A.J., Chilali, M., (1995) LMI Control Toolbox User's Guide, , The Math Works, Natick, MA
dc.languageen
dc.publisherElsevier
dc.relationSystems and Control Letters
dc.rightsfechado
dc.sourceScopus
dc.titleH∞filter Design For Nonlinear Polynomial Systems
dc.typeArtículos de revistas


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