On MIMO model reduction by the weighted equation–error approach |
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| Authors: | Wieslaw Krajewski Umberto Viaro |
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| Institution: | (1) Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01447 Warsaw, Poland;(2) Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica, Università di Udine, via delle Scienze 208, 33100 Udine, Italy |
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| Abstract: | The paper deals with the problem of approximating a stable continuous-time multivariable system by minimizing the L
2-norm of a weighted equation error. Necessary and sufficient conditions of optimality are derived, and the main properties
of the optimal reduced-order models are presented. Based on these conditions and properties, two efficient procedures for
generating approximants that retain different numbers of Markov parameters and time moments are suggested and applied to benchmark
examples. The results show that both the transient and the steady-state behaviour of the original systems are reproduced satisfactorily. |
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| Keywords: | Linear systems Model reduction Equation error Markov parameters Time moments |
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