部分空間同定法を用いた時変システムの次数・パラメータ推定に関する一考察 A Study on Order and Parameter Estimation of Time-Varying System by Subspace Method
This paper proposes an identification algorithm for time-varying system. We apply subspace method for estimation, since it is known as useful when the input-output (I/O) data are observed by multi-input multi-output (MIMO) system. Among many proposed techniques of subspace methods, we use MOESP (MIMO Output-Error State Space Model Identification) in this paper, which assures arithmetic stability by RQ-factorization and singular-value decomposition (SVD). Generally, subspace methods can be applied after I/O data collection, so that we introduce updated steps of matrices for PI-MOESP, which uses past inputs for instrumental variables. We propose recursive update algorithm of PI-MOESP, including estimation step of the system order, and consider some parameters inherent to the algorithm, those are initial number of data, estimation step of the order and forgetting factor. Numerical example shows usefulness of the proposed method.
- 電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society
電気学会論文誌. C, 電子・情報・システム部門誌 = The transactions of the Institute of Electrical Engineers of Japan. C, A publication of Electronics, Information and System Society 124(7), 1455-1461, 2004-07-01