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.
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ASME 2011 Dynamic Systems and Control Conference and Bath/ASME Symposium on Fluid Power and Motion Control
October 31–November 2, 2011
Arlington, Virginia, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5475-4
PROCEEDINGS PAPER
Optimal MIMO PID Controllers for the MIMO Processes
Xian Hong Li,
Xian Hong Li
Chinese Academy of Sciences, Shenyang; Graduate School of Chinese Academy of Sciences, Beijing, China
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Hai Bin Yu,
Hai Bin Yu
Chinese Academy of Sciences, Shenyang, China
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Ming Zhe Yuan,
Ming Zhe Yuan
Chinese Academy of Sciences, Shenyang, China
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Chuan Zhi Zang,
Chuan Zhi Zang
Chinese Academy of Sciences, Shenyang, China
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Zhuo Wang
Zhuo Wang
Chinese Academy of Sciences, Shenyang, China
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Xian Hong Li
Chinese Academy of Sciences, Shenyang; Graduate School of Chinese Academy of Sciences, Beijing, China
Hai Bin Yu
Chinese Academy of Sciences, Shenyang, China
Ming Zhe Yuan
Chinese Academy of Sciences, Shenyang, China
Chuan Zhi Zang
Chinese Academy of Sciences, Shenyang, China
Zhuo Wang
Chinese Academy of Sciences, Shenyang, China
Paper No:
DSCC2011-5916, pp. 441-448; 8 pages
Published Online:
May 5, 2012
Citation
Li, XH, Yu, HB, Yuan, MZ, Zang, CZ, & Wang, Z. "Optimal MIMO PID Controllers for the MIMO Processes." Proceedings of the 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. pp. 441-448. ASME. https://doi.org/10.1115/DSCC2011-5916
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