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
[11]  
Badri V., Tavazoei M.S., On tuning fractional order[proportional-derivative] controllers for a class of fractional order systems, Automatica, 49, 7, pp. 2297-2301, (2013)
[12]  
Vinagre B.M., Monje C.A., Calderon A.J., Fractional order systems and fractional order control actions, Proceeding of 41st IEEE Conference on Decision and Control, pp. 2550-2554, (2002)
[13]  
Zhao C., Xue D., Chen Y., A fractional order PID tuning algorithm for a class of fractional order plants, Proceeding of the IEEE International Conference on Mechatronics & Automation, pp. 216-221, (2005)
[14]  
Luo Y., Chen Y., Pi Y., Experimental study of fractional order proportional derivative controller synthesis for fractional order systems, Mechatronics, 21, 1, pp. 204-214, (2011)