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Research Papers: Control

Practical Tuning Rule Development for Fractional Order Proportional and Integral Controllers

[+] Author and Article Information
YangQuan Chen

Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, 4120 Old Main Hill, Logan, UT 84322-4120yqchen@ece.usu.edu

Tripti Bhaskaran

Center for Self-Organizing and Intelligent Systems (CSOIS), Department of Electrical and Computer Engineering, Utah State University, 4120 Old Main Hill, Logan, UT 84322-4120tripti.bhaskaran@gmail.com

Dingyü Xue

Faculty of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. Chinaxuedingyu@ise.neu.edu.cn

Feasible here implies if all the conditions stated in the section on F-MIGO algorithm are satisfied.

FO PIα controllers are simulated using the recursive approximation of Oustaloup et al. (31)

J. Comput. Nonlinear Dynam 3(2), 021403 (Feb 04, 2008) (8 pages) doi:10.1115/1.2833934 History: Received June 07, 2007; Revised November 05, 2007; Published February 04, 2008

This paper presents a new practical tuning method for fractional order proportional and integral (FO-PI) controller. The plant to be controlled is mainly first order plus delay time (FOPDT). The tuning is optimum in the sense that the load disturbance rejection is optimized yet with a constraint on the maximum or peak sensitivity. We generalized Ms constrained integral (MIGO) based controller tuning method to handle the FO-PI case, called F-MIGO, given the fractional order α. The F-MIGO method is then used to develop tuning rules for the FOPDT class of dynamic systems. The final developed tuning rules only apply the relative dead time τ of the FOPDT model to determine the best fractional order α and at the same time to determine the best FO-PI gains. Extensive simulation results are included to illustrate the simple yet practical nature of the developed new tuning rules. The tuning rule development procedure for FO-PI is not only valid for FOPDT but also applicable for other general class of plants.

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Copyright © 2008 by American Society of Mechanical Engineers
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References

Figures

Grahic Jump Location
Figure 3

Step response and load disturbance response for PIα controllers designed using the tuning rules for FOPDT systems (thick solid line), ZN (thin line), modified ZN (dotted), and AMIGO (dashed dotted line). The controller gains have been listed in Table 3.

Grahic Jump Location
Figure 2

Normalized FO controller parameters versus the relative dead time

Grahic Jump Location
Figure 1

Flow of the selection of best fractional controller for a given system

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