Citation: | ZHONG Zhixian, CAI Zhonghou, QI Yanying. Model-Free Adaptive Control for Single-Degree-of-Freedom Magnetically Levitated System[J]. Journal of Southwest Jiaotong University, 2022, 57(3): 549-557, 581. doi: 10.3969/j.issn.0258-2724.20210624 |
Aiming at the problem of nonlinear and difficult to establish accurate mathematical model of a single-degree-of-freedom magnetically levitated system, the model-free adaptive control method based on full-format dynamic linearization (FFDL-MFAC) was applied to a single-degree-of-freedom magnetically levitated system. Firstly, model-free adaptive control algorithm, pseudo gradient estimation algorithm, pseudo gradient reset algorithm and dynamic data model of single degree of freedom magnetic levitation system were used to design the controller of single degree of freedom magnetic levitation system. Then the influence of MFAC control parameters on the control effect of the single-degree-of-freedom magnetically levitated system and the response characteristics of step response signal, interference signal and noise signal are analyzed by simulation, and the experimental verification was carried out on the magnetic levitation ball experimental device. Finally, the experimental verification was carried out on the magnetic levitation ball experimental device. The results show that the FFDL-MFAC method only needs to collect the I/O data of the single-degree-of-freedom magnetically levitated system under the working state, and does not need to establish an accurate mathematical model of the single-degree-of-freedom magnetically levitated system. The high precision and stable suspension control can be realized by setting the parameters of the model free adaptive controller, and the controller has good adaptability and robustness. Compared with PID, FFDL-MFAC reduces the overshoot of the system by 0.005, and the root mean square error of stable suspension displacement is reduced by 0.2607.
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