Experiments of Least Squares Identification under High Sampling Frequency and Parameter Estimation of Time-Lag Continuous-Time Systems

碩士 === 國立交通大學 === 控制工程系 === 84 === In recent years, with the widespread use of the digital computers,the main control techniques and system identification methods for the continuous-time systems have been discretized. Moreover, we ma...

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Bibliographic Details
Main Authors: Guan, Kuen-Lin, 官坤林
Other Authors: Fu-Ching Lee, Pau-Lo Hsu
Format: Others
Language:zh-TW
Published: 1996
Online Access:http://ndltd.ncl.edu.tw/handle/41933276057265461946
Description
Summary:碩士 === 國立交通大學 === 控制工程系 === 84 === In recent years, with the widespread use of the digital computers,the main control techniques and system identification methods for the continuous-time systems have been discretized. Moreover, we may raise the sampling rate to achieve a better control performance. However, since of the finite word length effect in practical computation, high sampling rate and/or a large number of estimation parameters will result in numerical errors for the usual least squares estimation based on shift model. On the other hand,if the pure time-lag occurs in the identification process and that is not taken into consideration at estimation model,the influence on the estimated results will be serious as the sampling rate increases. In this thesis, we take the delta operator to formulate discrete-time model. From hardware experiments, the results show that the delta model is numerically superior to the usual shift model under high sampling rate and/or for a large number of estimation parameters. Also, we have shown that the accuracy of estimated delta model improves as sampling rate increases. Moreover, we propose a new identification method to estimate the continuous-time system with unknown time-lag which is shorter than one sampling interval. The simulation and experimental results conform that our algorithm. Our identification methods are valuable in adaptive control, system monitoring, etc.