Read e-book online Bounding Approaches to System Identification PDF

By J. P. Norton (auth.), Mario Milanese, John Norton, Hélène Piet-Lahanier, Éric Walter (eds.)

ISBN-10: 1475795459

ISBN-13: 9781475795455

ISBN-10: 1475795475

ISBN-13: 9781475795479

In reaction to the starting to be curiosity in bounding errors methods, the editors of this quantity provide the 1st choice of papers to explain advances in recommendations and purposes of bounding of the parameters, or kingdom variables, of doubtful dynamical platforms. members discover the appliance of the bounding procedure instead to the probabilistic research of such platforms, pertaining to its significance to powerful control-system design.

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R. Arruda ABSTRACT This chapter is concerned with the problem of robust system identification when no statistical information is available on the noise, but only a bound on its instantaneous values is known. First, various ellipsoidal outer bounding (EOB) algorithms are presented in a unified way. Then, two types of projection algorithms are described, and their link with the EOB algorithms is established. After that, the EOB algorithms are interpreted as robust identification algorithms with a dead zone.

H. Piet-Lahanierand E. Walter, Proceedings ofthe 28th IEEE Conference on Decision and Control, Tampa (1989). 25. V. Broman and M. J. Shensa, Proceedings of the 12th IMACS World Congress, Paris (1988). 26. E. Fogel and F. Huang, Automatica 18, 140 (1982). 27. J. R. Deller, IEEE A coust. , Speech, Signal Process 6, 4 (J 989). 28. S. Dasgupta and Y. F. Huang, IEEE Trans. In/ Theory IT-33, 383 (1987). 29. J. P. Norton, Automatica 23, 497 (1987). 30. J. P. Norton, Int. 1. Control 50, 2623 (1989). 31.

9]. Let L2 = L2[-0,0] denote the Hilbert space of all square integrable complex valued functions! on the interval [-0,0], and let B = B(L 2 ) denote the unit ball in L 2 . Any functionfin B yields a band- and energy-limited signal n /(t) = ff{co) exp(icot) dco, t E R i =~. ·-0 The bandwidth and the energy of/ are 20 and 2rcllfll 2 , respectively. Given real distinct points to, tb t], ... , tn we wish to recover a value/(to) for! 16) where Here 6 is a given nonnegative number and III . III is a fixed norm in en.

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Bounding Approaches to System Identification by J. P. Norton (auth.), Mario Milanese, John Norton, Hélène Piet-Lahanier, Éric Walter (eds.)

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