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.
引用
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页码:143 / 151
页数:8
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共 27 条
  • [1] Liu L, Yin S, Zhang L X, Et al., Improved results on asymptotic stabilization for stochastic nonlinear time-delay systems with application to a chemical reactor system, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 1, pp. 195-204, (2017)
  • [2] Kumar S D, Chandramohan D, Purushothaman K, Et al., Optimal hydraulic and thermal constrain for plate heat exchanger using multi objective wale optimization, Materials Today: Proceedings, 21, pp. 876-881, (2020)
  • [3] Meng F W, Song P T, Liu K, Et al., PID-P compound control of flexible transmission system with sandwich structure, Control Theory & Applications, 37, 11, pp. 2432-2440, (2020)
  • [4] Chen X M, Zhang S, Li Q L., A review of mutual coupling in MIMO systems, IEEE Access, 6, pp. 24706-24719, (2018)
  • [5] Khandelwal S, Detroja K P., The optimal detuning approach based centralized control design for MIMO processes, Journal of Process Control, 96, pp. 23-36, (2020)
  • [6] Goud E C, Rao A S, Chidambaram M., Improved decentralized PID controller design for MIMO processes, IFAC-Papers OnLine, 53, 1, pp. 153-158, (2020)
  • [7] Maghade D K, Patre B M., Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes, ISA Transactions, 51, 4, pp. 550-558, (2012)
  • [8] Lee J, Hyun Kim D, Edgar T F., Static decouplers for control of multivariable processes, AIChE Journal, 51, 10, pp. 2712-2720, (2005)
  • [9] Vu T N L, Linh L., Analytical design of imc-pid controller for ideal decoupling embedded in multivariable smith predictor control system, International Journal of Electrical and Information Engineering, 10, 7, pp. 879-883, (2016)
  • [10] Chuong V L, Vu T N L, Truong N T N, Et al., An analytical design of simplified decoupling Smith predictors for multivariable processes, Applied Sciences, 9, 12, (2019)