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Optimal MIMO PID Controllers for the MIMO Processes

[+] Author Affiliations
Xian Hong Li

Chinese Academy of Sciences, Shenyang; Graduate School of Chinese Academy of Sciences, Beijing, China

Hai Bin Yu, Ming Zhe Yuan, Chuan Zhi Zang, Zhuo Wang

Chinese Academy of Sciences, Shenyang, China

Paper No. DSCC2011-5916, pp. 441-448; 8 pages
doi:10.1115/DSCC2011-5916
From:
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
  • ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control, Volume 1
  • Arlington, Virginia, USA, October 31–November 2, 2011
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 978-0-7918-5475-4
  • Copyright © 2011 by ASME

abstract

This paper focuses on the design method of the optimal multiple inputs and multiple outputs (MIMO) proportional integral derivative (PID) controllers for the MIMO processes via using Lyapunov theorems. A hybrid augmented integral squared error (HAISE) is applied to design the optimal multi-loop PID controller for the MIMO plants. The optimal multi-loop PID control problem is transformed into a nonlinear constraint optimization (NLCO) problem. The optimal PID controller parameters are obtained from solving the NLCO problem. The design method is applied to devise the multi-loop optimal PID controller for different types of MIMO plants and the optimal PID controller under different control weight is shown in this paper. The performances of different PID tuning methods are studied too. The computer simulation results are presented to demonstrate the effectiveness of the design method and good performance and robustness of the optimal multi-loop PID controllers.

Copyright © 2011 by ASME

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