2013年12月
Distributed parameter modeling and finite-frequency loop-shaping of electromagnetic molding machine
Control Engineering Practice
- ,
- ,
- ,
- ,
- ,
- 巻
- 21
- 号
- 12
- 開始ページ
- 1735
- 終了ページ
- 1743
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.conengprac.2013.08.003
We derive a mathematical model for an electromagnet inside a molding machine, and propose a novel loop-shaping method of the proportional-integral (PI) controller design for the system based on the generalized KYP (GKYP) lemma. The behavior of the molding machine is difficult to capture by using finite-dimensional models owing to eddy currents spatially distributed throughout the electromagnet. To analyze fundamental properties of the system both theoretically and experimentally, we first derive a mathematical model of the machine in terms of a partial differential equation (PDE). An analysis using the PDE model shows that a low-dimensional approximation performed by standard spatial discretization results in a spillover effect, which makes the behavior of the closed-loop system oscillatory. Then, to develop an easily tunable and implementable control system, we propose a novel loop-shaping method for PI control on the basis of the GKYP lemma. In this control system design, we use multiple low-dimensional models, which work simultaneously in specified finite frequency ranges. The proposed method successfully suppresses the spillover effect despite the use of low-dimensional approximants. Finally, we show the efficiency of the proposed control design method through numerical and experimental verification and discuss a performance limitation of the PI control. © 2013 Elsevier Ltd.
- ID情報
-
- DOI : 10.1016/j.conengprac.2013.08.003
- ISSN : 0967-0661
- SCOPUS ID : 84888023442