Optimal design of periodic test input signals for multivariable impulse response models

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This paper considers an optimal test input design problem occurring in a control-relevant, iterative system identification scheme. The optimization is based on minimizing the expected a posteriori closed-loop error based on the a priori information given by the data already collected. Instead of directly solving the resulting non-linear optimization to obtain the test input sequences, two different computationally efficient approaches are proposed. The first approach is cast in the frequency domain and we solve for optimal discrete spectra of the periodic signals under some reasonable approximation. The solution can be realized as an input sequence by performing a spectral factorization and implementing the spectral factor as a digital Finite Impulse Response (FIR) filter. A second approach is suggested by reformulating the optimal design problem as a linear matrix inequalities (LMI) problem. The efficacy of these approaches is demonstrated through a numerical example. Copyright (C) 2010 John Wiley & Sons, Ltd.
Publisher
WILEY-BLACKWELL
Issue Date
2010-09
Language
English
Article Type
Article
Keywords

CLOSED-LOOP IDENTIFICATION; SYSTEMS; RESPECT; BINARY

Citation

OPTIMAL CONTROL APPLICATIONS METHODS, v.31, no.5, pp.451 - 469

ISSN
0143-2087
DOI
10.1002/oca.944
URI
http://hdl.handle.net/10203/95909
Appears in Collection
CBE-Journal Papers(저널논문)
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