NDLI: Tuning Fractional-Order <italic/><inline-formula> <tex-math notation=LaTeX>${PI}^{lambda } {D} ^{mu }$ </tex-math></inline-formula> Controllers for a Solid-Core Magnetic Bearing System

Content Provider	IEEE Xplore Digital Library
Author	Jianpeng Zhong Lichuan Li
Copyright Year	1993
Abstract	This brief presents the design of a fractional-order (FO) PI^λD^μ controller and its application to stabilizing an FO solid-core magnetic bearing (MB) system. A practical numerical search method of designing the FO PI^λD^μ controller is proposed. By presearching the orders λ and μ in their calculated ranges, the remaining three undetermined controller parameters can be first analytically solved based on three given basic specifications, and thus, a series of controllers are obtained. Then, a relative optimal FO PI^λD^μ controller is achieved by evaluating exact performance indexes. In addition, an integer order (IO) PID controller based on the same specifications is derived and the corresponding feasible control zone consisting of specifications is calculated. The performance comparisons between the IO PID and the FO PI^λD^μ controllers are implemented by simulation and experiments. The results show that this tuning method is effective, and the FO PI^λD^μ controller can achieve more favorable dynamic performance than the IO PID controller for this FO MB system.
Sponsorship	IEEE Control Systems Society
Starting Page	1648
Ending Page	1656
Page Count	9
File Size	4156049
File Format	PDF
ISSN	10636536
Volume Number	23
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Equations Tuning Transfer functions Stability analysis Magnetic levitation Indexes solid-core magnetic bearing (MB). Feasible control zone (FCZ) fractional-order (FO) PIλDμ controller integer order (IO) PID controller numerical search method solid-core magnetic bearing (MB) fractional-order (FO) ${PI}^{\lambda } {D} ^{\mu }$ controller
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering

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