In this paper, the problem of designing a fractional order PID-type controller is considered for a boost converter. By using the output capacitance and input inductance values this paper characterizes integer order PID-type control gains which will make the closed-loop system transfer function approximately equal to a first order system with a unit DC gain and prescribed time constant τ. Next, a procedure to compute the design parameters of a fractional order PID-type controller is given together with a descritized control algorithm for DSP implementation. By using a floating-point DSP, the proposed control algorithm is implemented in real time. Finally, experimental results are given to show the practical feasibility and effectiveness of the proposed fractional order PID-type control system under several operating conditions. The results illuminate that the proposed controller can be better than a conventional integer order PID-type controller.
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Seo et al. (2019) studied this question.
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