Abstract
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.
Highlights
DC-DC converters have been popular in many industrial applications, including power supplies and power drives
DC-DC converters are usually subject to parameter or load uncertainties that can significantly degrade control system performances
Motivated by the fact that a fractional order PID controller can outperform conventional integer order PID controllers, this paper considers the problem of designing a fractional order PID-type controller for a boost converter
Summary
DC-DC converters have been popular in many industrial applications, including power supplies and power drives. H. Choi: Digital Implementation of Fractional Order PID-Type Controller for Boost DC–DC Converter can improve the robustness against nonlinear uncertainties. 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. These gains are used for the PID gains of the fractional order PID-type controller. MODEL DESCRIPTION AND PROBLEM FORMULATION A boost DC-DC converter of Figure 1 can be represented by the following nonlinear continuous-time dynamic equation [3], [14], [35], [36]:
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