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dc.contributor.authorDas, S
dc.contributor.authorPan, I
dc.contributor.authorDas, S
dc.date.accessioned2018-01-22T11:18:32Z
dc.date.issued2015-06-19
dc.description.abstractAn optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state trajectories and control signal are automatically enforced by the LQR. A class of delayed FO systems with single non-integer order element has been controlled here which exhibit both sluggish and oscillatory open loop responses. The FO time delay processes are controlled within a multi-objective optimization (MOO) formulation of LQR based FOPID design. The time delays in the FO models are handled by two analytical formulations of designing optimal quadratic regulator for delayed systems. A comparison is made between the two approaches of LQR design for the stabilization of time-delay systems in the context of FOPID controller tuning. The MOO control design methodology yields the Pareto optimal trade-off solutions between the tracking performance for unit set-point change and total variation (TV) of the control signal. Numerical simulations are provided to compare the merits of the two delay handling techniques in the multi-objective LQR-FOPID design, while also showing the capability of load disturbance suppression using these optimal controllers. Tuning rules are then formed for the optimal LQR-FOPID controller knobs, using the median of the non-dominated Pareto solution to handle delays FO processes.en_GB
dc.identifier.citationVol. 58, September 2015, pp. 35-49en_GB
dc.identifier.doi10.1016/j.isatra.2015.06.002
dc.identifier.urihttp://hdl.handle.net/10871/31147
dc.language.isoenen_GB
dc.publisherElsevieren_GB
dc.subjectFractional order PID controlleren_GB
dc.subjectIntegral performance indexen_GB
dc.subjectMulti-objective controlen_GB
dc.subjectLQR weighting matricesen_GB
dc.subjectNon-Integer Order Plus Time Delay (NIOPTD) processen_GB
dc.titleMulti-objective LQR with Optimum Weight Selection to Design FOPID Controllers for Delayed Fractional Order Processesen_GB
dc.typeArticleen_GB
dc.date.available2018-01-22T11:18:32Z
dc.identifier.issn0019-0578
dc.descriptionThis is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.en_GB
dc.identifier.eissn1879-2022
dc.identifier.journalISA Transactionsen_GB


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