title: Fractional order phase shaper design with Bode's integral for iso-damped control system.
abstract: The phase curve of an open loop system is flat in nature if the derivative of its phase with respect to frequency is zero. With a flat-phase curve, the corresponding closed loop system exhibits an iso-damped property i.e. maintains constant overshoot with the change of gain. This implies enhanced parametric robustness e.g. to variation in system gain. In the recent past, fractional order (FO) phase shapers have been proposed by contemporary researchers to achieve enhanced parametric robustness. In this paper, a simple methodology is proposed to design an appropriate FO phase shaper to achieve phase flattening in a control loop, comprising a plant controlled by a classical Proportional Integral Derivative (PID) controller. The methodology is demonstrated with MATLAB simulation of representative plants and accompanying PID controllers.
authors.affiliation: Power Engineering Department, Jadavpur University, Kolkata-700098, India.
authors.forename: Suman
authors.initials: S
authors.lastname: Saha
authors.forename: Saptarshi
authors.initials: S
authors.lastname: Das
authors.forename: Ratna
authors.initials: R
authors.lastname: Ghosh
authors.forename: Bhaswati
authors.initials: B
authors.lastname: Goswami
authors.forename: R
authors.initials: R
authors.lastname: Balasubramanian
authors.forename: A K
authors.initials: AK
authors.lastname: Chandra
authors.forename: Shantanu
authors.initials: S
authors.lastname: Das
authors.forename: Amitava
authors.initials: A
authors.lastname: Gupta
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004867:Equipment Design; D007221:Industry / Q000295:instrumentation*; D013598:Systems Theory