title: Analytical design of fractional-order proportional-integral controllers for time-delay processes.
abstract: A new design method of fractional-order proportional-integral controllers is proposed based on fractional calculus and Bode's ideal transfer function for a first-order-plus-dead-time process model. It can be extended to be applied to various dynamic models. Tuning rules were analytically derived to cope with both set-point tracking and disturbance rejection problems. Simulations of a broad range of processes are reported, with each simulated controller being tuned to have a similar degree of robustness in terms of resonant peak to other reported controllers. The proposed controller consistently showed improved performance over other similar controllers and established integer PI controllers.
authors.affiliation: Faculty of Mechanical Engineering, University of Technical Education of Ho Chi Minh City, Vietnam. tnluanvu@yumail.ac.kr
authors.forename: Truong Nguyen Luan
authors.initials: TN
authors.lastname: Vu
authors.forename: Moonyong
authors.initials: M
authors.lastname: Lee
keywords: Bode's ideal transfer function; Fractional calculus; Fractional-order proportional-integral (FOPI) controller; Resonant peak (Mp) criterion