Design of PID controllers using semi-infinite programming

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dc.contributor.authorTuran, Evren Merten
dc.contributor.authorKannan, Rohiten
dc.contributor.authorJäschke, Johannesen
dc.date.accessioned2025-02-18T13:12:56Zen
dc.date.available2025-02-18T13:12:56Zen
dc.date.issued2022en
dc.description.abstractThe PID controller is widely used, and several methods have been proposed for choosing the controller parameters to achieve good performance. The controller tuning problem is set up as a semi-infinite program (SIP), with the integrated squared error (ISE) or the H∞ norm of the frequency domain error function (|𝐸(𝑠)|∞) as the objective function, and H∞ constraints for robustness and noise attenuation. Previous authors considered discrete points to enforce the H∞ constraints, however this is an outer approximation that does not guarantee a feasible point. When a feasible point can be found, it may require multiple iterations with a finer and finer discretisation. Here, the SIP is solved using a global optimisation algorithm. Several numerical experiments show that the proposed formulation converges quickly (<10 seconds) and gives sensible controller tuning values without the need to apply expert knowledge to the tuning problem. These results suggest that this is an attractive method for automated controller tuning.en
dc.description.versionAccepted versionen
dc.format.extentPages 439-444en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/b978-0-323-85159-6.50073-7en
dc.identifier.isbn9780323851596en
dc.identifier.orcidKannan, Rohit [0000-0002-7963-7682]en
dc.identifier.urihttps://hdl.handle.net/10919/124623en
dc.identifier.volume49en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.ispartofComputer Aided Chemical Engineeringen
dc.relation.ispartofseriesComputer Aided Chemical Engineeringen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleDesign of PID controllers using semi-infinite programmingen
dc.typeBook chapteren
dc.type.dcmitypeTexten
pubs.organisational-groupVirginia Techen
pubs.organisational-groupVirginia Tech/Engineeringen
pubs.organisational-groupVirginia Tech/Engineering/Industrial and Systems Engineeringen
pubs.organisational-groupVirginia Tech/All T&R Facultyen
pubs.organisational-groupVirginia Tech/Engineering/COE T&R Facultyen

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