Design of fractional order PID controller based on Bode's ideal transfer function

被引:0
作者
Zhao, Zhicheng [1 ]
Li, Mingjie [1 ]
Zhang, Jinggang [1 ]
机构
[1] School of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan
来源
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition) | 2014年 / 42卷 / 09期
关键词
Bode's ideal transfer function; Desired characteristics; Fractional order systems; PID controller; Robustness; Tuning method;
D O I
10.13245/j.hust.140903
中图分类号
学科分类号
摘要
For the fractional order systems, a design method of fractional order proportional-integral-derivative (PID) controller based on Bode's ideal transfer function was proposed. Firstly, the relationships between the gain and the fractional calculus order of the Bode's ideal transfer function and the dynamic performance and robustness of the system were analyzed. Then, the Bode's ideal transfer function was used as the reference system, and the order of the controlled object was selected as the fractional calculus order of the controller. Moreover, according to the dynamic performance and robustness of the system, the gain K of the fractional order PID controller was tuned. So, the rules of the controller tuning were specified. The simulation results show that the proposed method is not only simple in design and convenient in parameter tuning, but also can provide a better dynamic performance, disturbance rejection property and robustness against the parameters perturbation of the system.
引用
收藏
页码:10 / 13
页数:3
相关论文
共 14 条
[1]  
Caponetto R., Dongola G., Fortuna L., Et al., Fractional Order Systems: Modeling and Control Applications, (2010)
[2]  
Podlubny I., Fractional-order systems and PI<sup>λ</sup>D<sup>μ</sup>-controllers, 44, 1, pp. 208-218, (1999)
[3]  
Chen Y., Bhaskaran T., Xue D., Practical tuning rule development for fractional order proportional and integral controllers, Journal of Computational and Nonlinear Dynamics, 3, 2, pp. 0214031-0214038, (2008)
[4]  
Monje C.A., Vinagre B.M., Feliu V., Et al., Tuning and auto-tuning of fractional order controllers for industry applications, Control Engineering Practice, 16, 7, pp. 798-812, (2008)
[5]  
Li H., Luo Y., Chen Y., A fractional order proportional and derivative (FOPD) motion controller: tuning rule and experiments, IEEE Transactions on Control Systems Technology, 18, 2, pp. 516-520, (2010)
[6]  
Luo Y., Chen Y., Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems, Automatica, 48, 9, pp. 2159-2167, (2012)
[7]  
Das S., Pan I., Das S., Et al., Improved model reduction and tuning of fractional-order PI<sup>λ</sup>D<sup>μ</sup> controllers for analytical rule extraction with genetic programming, ISA Transactions, 51, 2, pp. 237-261, (2012)
[8]  
Wang D., Gao X., H<sub>∞</sub> design with fractional-order PD<sup>μ</sup> controllers, Automatica, 48, 5, pp. 974-977, (2012)
[9]  
Padula F., Visioli A., Tuning rules for optimal PID and fractional-order PID controllers, Journal of Process Control, 21, 1, pp. 69-81, (2011)
[10]  
Padula F., Visioli A., Set-point weight tuning rules for fractional-order PID controllers, Asian Journal of Control, 15, 3, pp. 678-690, (2013)