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Fractional order PI, PD and PIPD controller design using Bode’s integrals
Fractional order PI, PD and PIPD controller design using Bode’s integrals
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Fractional order PI, PD and PIPD controller design using Bode’s integrals
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Fractional order PI, PD and PIPD controller design using Bode’s integrals
Fractional order PI, PD and PIPD controller design using Bode’s integrals
Journal Article

Fractional order PI, PD and PIPD controller design using Bode’s integrals

2018
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Overview
This paper is devoted to Bode’s integrals based design of fractional order [PI], [PD] and [PI][PD] controllers for integer order systems. The gain crossover frequency, the phase margin and the Nyquist plot slope adjustment in gain crossover frequency are considered as the design specifications for FO[PI] and FO[PD] controllers. To calculate the Nyquist plot slope, the Bode’s integrals are utilized. The FO[PI][PD] controller is constructed by series connection of the FO[PI] and FO[PD] controllers. To design the FO[PI][PD] controller, the measurement noise rejection and the integral time absolute error minimization are employed as the additional design requirements. Simulation results are presented to show the performance of the Bode’s integral based fractional order controllers.