Robust H filtering for a class of linear parameter-varying systems
dc.Affiliation | October University for modern sciences and Arts (MSA) | |
dc.contributor.author | Mahmoud M.S. | |
dc.contributor.author | Boujarwah A.S. | |
dc.contributor.other | MSA University | |
dc.contributor.other | Dokki | |
dc.contributor.other | Egypt; Department of Computer Engineering | |
dc.contributor.other | Kuwait University | |
dc.contributor.other | Safat-13060 | |
dc.contributor.other | Kuwait | |
dc.date.accessioned | 2020-01-25T19:58:36Z | |
dc.date.available | 2020-01-25T19:58:36Z | |
dc.date.issued | 2001 | |
dc.description | Scopus | |
dc.description.abstract | In this paper, we investigate the problem of H? filtering for a class of linear parameter-varying (LPV) systems in which the state-space matrices depend affinely on time-varying parameters. We employ the notion of affine quadratic stability using parameter-dependent Lyapunov functionals. We develop a linear parameter-dependent filter such that the estimation erorr is affinely quadratically stable with a prescribed performance measure. It is established that the solvability conditions can be expressed by linear matrix inequalities which are then evaluated at the extreme points of the admissible parameter set. Simulation results of a typical example are presented. | en_US |
dc.identifier.doi | https://doi.org/10.1109/81.948442 | |
dc.identifier.issn | 10577122 | |
dc.identifier.other | https://doi.org/10.1109/81.948442 | |
dc.identifier.uri | https://cutt.ly/SrK6423 | |
dc.language.iso | English | en_US |
dc.relation.ispartofseries | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications | |
dc.relation.ispartofseries | 48 | |
dc.subject | Linear parameter-varying systems | en_US |
dc.subject | Quadratic stability | en_US |
dc.subject | Robust H? filtering | en_US |
dc.subject | Computer simulation | en_US |
dc.subject | Control system synthesis | en_US |
dc.subject | Lyapunov methods | en_US |
dc.subject | Optimal control systems | en_US |
dc.subject | Optimization | en_US |
dc.subject | Parameter estimation | en_US |
dc.subject | Robustness (control systems) | en_US |
dc.subject | State space methods | en_US |
dc.subject | System stability | en_US |
dc.subject | Time varying control systems | en_US |
dc.subject | Linear matrix inequalities | en_US |
dc.subject | Linear parameter-varying system | en_US |
dc.subject | Quadratic stability | en_US |
dc.subject | Linear control systems | en_US |
dc.title | Robust H filtering for a class of linear parameter-varying systems | en_US |
dc.type | Article | en_US |
dcterms.isReferencedBy | Apkarian, P., Gahinet, P., Becker, G., Self-scheduled H? control of linear parameter-varying systems: A design example (1995) Automatica, 31 (7), pp. 1251-1261; Becker, G., Packard, A., Robust performance of linear parametrically-varying systems using parametrically-dependent linear feedback (1994) Syst. Control Lett., 23 (3), pp. 205-215; Apkarian, P., Gahinet, P., A convex characterization of gain scheduled H? controllers (1995) IEEE Trans. Automat. Contr., 40, pp. 853-864. , May; Gahinet, P., Apkarian, P., Chilali, M., Affine parameter-dependent Lyapunov functions for real parametric uncertainty (1996) IEEE Trans. Automat. Contr., 41, pp. 436-442. , Feb; Boyd, S., El-Ghaoui, L., Feron, E., Balakrishnan, V., Linear matrix inequalities in systems and control theory (1994) Studies in Applied Mathematics, 15. , Philadelphia, PA: SIAM; Iwasaki, T., Skelton, R.E., All controllers for the general H? control design problem: LMI existence conditions and state-space formulas (1994) Automatica, 30 (8), pp. 1307-1317; Gahinet, P., Nemirovskii, A., Laub, A.J., Chilali, M., (1995) LMI Control Toolbox, , MA: MathWorks; Doyle, J.C., Glover, K., Khargonekar, P.P., Francis, B.A., State-space solutions to standard H2 and H? control problems (1989) IEEE Trans. Automat. Contr., 34, pp. 831-847. , Aug; Shamma, J.S., Athans, M., Analysis of nonlinear gain-scheduled control systems (1990) IEEE Trans. Automat. Contr., 35, pp. 898-907. , July; De Souza, C.E., Shaked, U., Fu, M., Robust H? filtering for continuous time varying uncertain systems with deterministic input signals (1995) IEEE Trans. Signal Processing, 43, pp. 709-719. , June; Gahinet, P., Apkarian, A., Chilali, M., Affine parameter-dependent Lyapunov functions for real parameteric uncertainty Proc. IEEE 33rd Conf. Circuits and Devices, Lake Buena Vista, CA, 1994; Geromel, J.C., De Oliveria, M.C., H2 and H? robust filtering for convex bounded uncertain systems Proc. IEEE 37th Conf. Circuits and Devices, Tampa, FL, 1999; De Souza, C.E., Fu, M., Trofino, A., Robust H? filter design via parameter-dependent Lyapunov functions Proc. IFAC Symp. Robust Control Design, Prague, Czechoslovakia, 2000; Feron, E., Apkarian, P., Gahinet, P., Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions (1996) IEEE Trans. Automat. Contr., 41, pp. 1041-1046. , July | |
dcterms.source | Scopus |
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