Artículos de revistas
H2 Sampled - Data Filtering Of Linear Systems
Registro en:
Ieee Transactions On Signal Processing. Institute Of Electrical And Electronics Engineers Inc., v. 62, n. 18, p. 4839 - 4846, 2014.
1053587X
10.1109/TSP.2014.2342670
2-s2.0-84906572124
Autor
Souza M.
Fioravanti A.R.
Geromel J.C.
Institución
Resumen
This paper addresses the H2 state estimation problem in the context of sampled-data systems, which is closely related to H2 filtering design under limited bandwidth constraints. Our first approach considers a fixed data-rate setting, for which a discrete-time equivalent system is devised and, based on this concept, sufficient conditions for the H 2 filtering design are yielded. These results are then generalized to obtain a robust filter that is able to cope with uneven data-rates. Academical examples illustrate the theoretical results and point out the main characteristics of the design techniques devised in this paper. © 2014 IEEE. 62 18 4839 4846 Kalman, R.E., A new approach to linear filtering and prediction problems (1960) J. Basic Eng., 82, pp. 35-45. , no. Series D, Mar Luenberger, D.G., Observing the state of a linear system (1964) IEEE Trans. Mil. Electron., 8 (2), pp. 74-80. , Apr Anderson, B.D.O., Moore, J.B., (1979) , Optimal Filtering., , Englewood Cliffs, NJ, USA: Prentice-Hall Geromel, J.C., Optimal linear filtering under parameter uncertainty (1999) IEEE Trans. Signal Process., 47 (1), pp. 168-175. , Jan Wang, F.-Y., Liu, D., (2008) Networked Control Systems: Theory and Applications, , London, U.K.: Springer-Verlag Hespanha, J.P., Naghshtabrizi, P., Xu, Y., A survey of recent results in networked control systems (2007) Proc. IEEE, Special Issue on Technol. Netw. Contr. Syst., 95 (1), pp. 138-162 Sun, S., Xiew. Xiao, L., Soh, Y.C., Optimal linear estimation for systems with multiple packet dropouts (2008) Automatica, 44 (5), pp. 1333-1342. , May Gonçalves, A.P.C., Fioravanti, A.R., Geromel, J.C., Markov jump linear systems and filtering through network transmittedmeasurements (2010) Signal Process., 90 (10), pp. 2842-2850. , Oct Wu, J., Zhang, H., Shi, Y., H2 state estimation for network-based systems subject to probabilistic delays (2012) Signal Process., 92 (11), pp. 2700-2705. , Nov Korogui, R.H., Fioravanti, A.R., Geromel, J.C., On a rational transfer function-based approach to H∞ filtering design for time-delay linear systems (2011) IEEE Trans. Signal Process., 59 (3), pp. 979-988. , Mar Souza, M., Deaecto, G.S., Geromel, J.C., Daafouz, J., Self-triggered linear quadratic networked control (2014) Optimal Control Applications and Methods, , doi: 10.1002/oca.2085 Matveev, A.S., Savkin, A.V., (2009) Estimation and Control over Communication Networks, , Boston, MA, USA: Birkhäuser Savkin, A.V., Petersen, I.R., Set-valued state estimation via a limited capacity communication channel (2003) IEEE Trans. Autom. Control, 48 (4), pp. 676-680. , Apr Wong, W.S., Brockett, R.W., Systems with finite communication bandwidth constraints - Part I: State estimation problems (1997) IEEE Transactions on Automatic Control, 42 (9), pp. 1294-1299. , PII S0018928697059552 Li, N., Hu, J., Hu, J., Li, L., Exponential state estimation for delayed recurrent neural networks with sampled-data (2012) Nonlin. Dyn., 69 (1-2), pp. 555-564. , Jul Wong, W.S., Brockett, R.W., Systems with finite communication bandwidth constraints-II: Stabilization with limited information feedback (1999) IEEE Trans. Autom. Control, 44 (5), pp. 1049-1053 Mustafa, G., Chen, T., H∞ filtering for nonuniformly sampled systems: A Markovian jump systems approach (2011) Syst. Control Lett., 60 (10), pp. 871-876. , Oct Zhang, H., Shi, Y., Wang, J., On energy-to-peak filtering for nonuniformly sampled nonlinear systems: A markovian jump system approach (2014) IEEE Trans. Fuzzy Syst., 22 (1), pp. 212-222. , doi: 10.1109/tfuzz.2013.2250291 Colaneri, P., Geromel, J.C., Locatelli, A., (1997) Control Theory and Design: An RH2/RH∞ Viewpoint, , London, U.K.: Academic