Controller design of MIMO systems based on coefficient diagram method

被引：0
|
作者：
Meng F.-W. [1 ]
Liu K. [1 ]
Meng S.-Y. [1 ]
Pang A.-P. [2 ]
机构：
[1] School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao
[2] School of Electrical Engineering, Guizhou University, Guiyang
来源：
Kongzhi yu Juece/Control and Decision | 2023年 / 38卷 / 01期
关键词：
CDM; controller design; decoupling; interaction; MIMO; PSO;
D O I：
10.13195/j.kzyjc.2021.1131
中图分类号：
学科分类号：
摘要：
The interaction of MIMO (multi-input multi-output) systems limits the use of many advanced design methods suitable for SISO (single input single output) systems. And most of the research on the control of MIMO systems only pays attention to eliminating the influence of interaction, but the problems of systems control are ignored, which weakens the system’s robustness, the design process is complex, and the order of the system is higher after decoupling. Therefore, we propose a controller design method for MIMO systems based on the coefficient diagram method (CDM) to achieve control objectives relatively in the view of utility. The problem of decoupling of MIMO systems is transformed into parameter optimization problems. For this purpose, Firstly, the object function and two linear constraints are proposed, and the target function is optimized by the particle swarm optimization (PSO) in the frequency domain to design the compensator to achieve decoupling. Secondly, the CDM can design the controller structure and parameters flexibly according to the system’s actual performance on the premise that it considers the stability, response characteristics, and robustness of the system. Therefore, the controller structure design and parameter tuning are based on the coefficient diagram method. Finally, the effectiveness of this method is verified by simulation examples. © 2023 Northeast University. All rights reserved.
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页码：143 / 151
页数：8
相关论文
共 27 条
  • [11] Garrido J, Lara M, Ruz M L, Et al., Decentralized PID control with inverted decoupling and superheating reference generation for efficient operation: Application to the Benchmark PID 2018, IFAC-Papers OnLine, 51, 4, pp. 710-715, (2018)
  • [12] Gagnon E, Pomerleau A, Desbiens A., Simplified, ideal or inverted decoupling?, ISA Transactions, 37, 4, pp. 265-276, (1998)
  • [13] Hagglund T., The one-third rule for PI controller tuning, Computers & Chemical Engineering, 127, pp. 25-30, (2019)
  • [14] Luyben W L., Distillation decoupling, AIChE Journal, 16, 2, pp. 198-203, (1970)
  • [15] Zhao Z C, Xu N, Zhang J G., Fractional order Smith predictor control for non-square systems with time-delay, Control and Decision, 34, 6, pp. 1331-1337, (2019)
  • [16] Ge S L, Zhang K, Ping Z W., Virtual model based adaptive decoupling disturbance rejection control, Control Theory & Applications, 36, 2, pp. 319-326, (2019)
  • [17] Liu K Y, Chen J., Internal model control design based on equal order fractional butterworth filter for multivariable systems, IEEE Access, 8, pp. 84667-84679, (2020)
  • [18] Ma T., Recursive filtering adaptive neural fault-tolerant control for uncertain multivariable nonlinear systems, European Journal of Control, 59, pp. 274-289, (2021)
  • [19] Liu J B, Sun W, Zhang X X, Et al., A feedforward decoupling strategy based on control model for the engineering application of multi-variable predictive control, Control and Decision, 34, 5, pp. 1094-1102, (2019)
  • [20] Liao Q F, Sun D., Sparse and decoupling control strategies based on Takagi-Sugeno fuzzy models, IEEE Transactions on Cybernetics, 51, 2, pp. 947-960, (2021)
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