Show simple item record

dc.contributor.authorSaha, S
dc.contributor.authorDas, S
dc.contributor.authorDas, S
dc.contributor.authorGupta, A
dc.date.accessioned2018-01-18T13:45:32Z
dc.date.issued2012-01-26
dc.description.abstractA novel conformal mapping based Fractional Order (FO) methodology is developed in this paper for tuning existing classical (Integer Order) Proportional Integral Derivative (PID) controllers especially for sluggish and oscillatory second order systems. The conventional pole placement tuning via Linear Quadratic Regulator (LQR) method is extended for open loop oscillatory systems as well. The locations of the open loop zeros of a fractional order PID (FOPID or PI{\lambda}D{\mu}) controller have been approximated in this paper vis-\`a-vis a LQR tuned conventional integer order PID controller, to achieve equivalent integer order PID control system. This approach eases the implementation of analog/digital realization of a FOPID controller with its integer order counterpart along with the advantages of fractional order controller preserved. It is shown here in the paper that decrease in the integro-differential operators of the FOPID/PI{\lambda}D{\mu} controller pushes the open loop zeros of the equivalent PID controller towards greater damping regions which gives a trajectory of the controller zeros and dominant closed loop poles. This trajectory is termed as "M-curve". This phenomena is used to design a two-stage tuning algorithm which reduces the existing PID controller's effort in a significant manner compared to that with a single stage LQR based pole placement method at a desired closed loop damping and frequency.en_GB
dc.description.sponsorshipThis work has been supported by the Board of Research in Nuclear Sciences (BRNS) of the Department of Atomic Energy, Govt. of India, sanction No. 2006/34/34-BRNS dated March 2007.en_GB
dc.identifier.citationVol. 17 (9), pp. 3628-3642en_GB
dc.identifier.doi10.1016/j.cnsns.2012.01.007
dc.identifier.urihttp://hdl.handle.net/10871/31062
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.rightsCrown copyright © 2012 Published by Elsevier Ltd. All rights reserved.en_GB
dc.subjectConformal mappingen_GB
dc.subjectDominant pole placementen_GB
dc.subjectFractional order PID controlleren_GB
dc.subjectLinear Quadratic Regulator (LQR)en_GB
dc.subjectM-curveRoot locusen_GB
dc.titleA Conformal Mapping Based Fractional Order Approach for Sub-optimal Tuning of PID Controllers with Guaranteed Dominant Pole Placementen_GB
dc.typeArticleen_GB
dc.date.available2018-01-18T13:45:32Z
dc.descriptionThis is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.en_GB
dc.identifier.journalCommunications in Nonlinear Science and Numerical Simulationen_GB


Files in this item

This item appears in the following Collection(s)

Show simple item record