Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第37回ISCIE「確率システム理論と応用」国際シンポジウム(2005年10月, 大阪茨木)
Identification of Continuous-time MIMO Systems via Sampled Data
Mitsuru MatsubaraYusuke UsuiSueo Sugimoto
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ジャーナル フリー

2006 年 2006 巻 p. 101-106

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In this paper, we present an identification algorithm for continuous-time Multiple-Input Multiple-Output (MIMO) state-space models and also for determining the order of models from the samples of the input-output data. In the proposed algorithm, from the sampled data first an equivalent discrete-model is identified, then the model is transformed to the corresponding continuous-time model. The parametric discrete-time canonical-formed MIMO state-space model is identified based on Maximum-Likelihood (ML) and Akaike's Information Criterion(AIC). For obtaining the maximum-likelihood estimates of the model parameters, we apply Expectation-Maximization(EM) algorithms which are iterative methods such that the choice of the initial estimates is most important. The initial estimates of parameters in canonical-formed state-space models are obtained by MOESP[1] or N4SID[2] methods where the similarity transformation plays a key role.
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© 2006 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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