Reconfigurable Fractional-Order Operator and Bandwidth Expansion Suitable for PIαController

dc.contributor.authorPrommee, Pipat
dc.contributor.authorPienpichayapong, Peradol
dc.date.accessioned2026-08-06T10:46:08Z
dc.date.available2026-08-06T10:46:08Z
dc.date.issued2024-05-01
dc.description.abstractThis article presents a reconfigurable fractional-order operator circuit with a bandwidth expansion technique for applications such as automation and robotics. The advantages of continued fraction expansion (CFE) and Newton-Raphson's methods are amalgamated to achieve three high-accuracy first-order bilinear functions. By adding two bilinear functions (fifth-order approximation), the bandwidth expansion technique is provided. In contrast to conventional approximation techniques, this novel technique can provide a wide bandwidth of up to four decades and errors better than 20%. This technique also enables extended bandwidth by adding more bilinear functions. The circuit realization can be easily constructed by cascading the factorized first-order bilinear functions. The proposed fractional-order operator can be reconfigured between the differentiator and the integrator using a selector switch without changing any circuit topology. The fractional-order operator's frequency response (ω) and order (α) can be independently tuned using the bias current. The fractional-order proportional-integral (PIα) controller in the throttle and brake of autonomous vehicles is investigated to confirm the performance compared with the theoretical results. The experimental results based on commercially available operational transconductance amplifiers are validated and found to be in agreement with the theoretical analysis. Therefore, it can pave the way for further programmable system-on-chip for industries.
dc.identifier.citationIEEE Transactions on Industrial Electronics, 71(5), 5126-5136, 2024
dc.identifier.doi10.1109/TIE.2023.3288170
dc.identifier.issn02780046
dc.identifier.other2-s2.0-85163455926
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/15650
dc.sourceIEEE Transactions on Industrial Electronics
dc.subjectCascadable
dc.subjectfractional order
dc.subjectPIα controller
dc.subjectpolynomial factorization technique
dc.subjectreconfiguration
dc.titleReconfigurable Fractional-Order Operator and Bandwidth Expansion Suitable for PIαController
dc.typeArticle

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