Estimating nonlinear systems in a neighborhood of LTI-approximants [Elektronisk resurs] / Martin Enqvist, Lennart Ljung.
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Enqvist, Martin, 1976- (författare)
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Ljung, Lennart, 1946- (författare)
- Publicerad: Linköping : Linköping University Electronic Press, 2002
- Engelska 11 s.
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Serie: LiTH-ISY-R, 1400-3902 ; 2459
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Läs hela texten (Sammanfattning och fulltext från Linköping University Electronic Press)
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- The estimation of Linear Time Invariant (LTI) models is a standard procedure in system identification. Any real-life system will however be nonlinear and time-varying, and the estimated model will converge to the LTI second order equivalent (LTI-SOE) of the true system. In this paper we consider some aspects of this convergence and the distance between the true system and its LTI-SOE. We show that there may be cases where even the slightest nonlinearity may cause big differences in the LTI-SOE. We also show a result that gives conditions that guarantee that the LTI-SOE is close to "the natural" LTI approximant. Finally, an upper bound on the distance between the LTI-SOE of a nonlinear FIR system with a white input signal and the linear part of the system is derived.
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- System identification
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