Fractional-Order Approximation of PID Controller for Buck–Boost Converters

Abstract

Viability of a fractional-order proportional–integral–derivative (PID) approximation to regulate voltage in buck–boost converters is investigated. The converter applications range not only to high-power ones but also in micro/nano-scale systems from biomedicine for energy management/harvesting. Using a classic closed-loop control diagram the controller effectiveness is determined. Fractional calculus is considered due to its ability at modeling different types of systems accurately. The non-integer approach is integrated into the control strategy through a Laplacian operator biquadratic approximation to generate a flat phase curve in the system closed-loop frequency response. The controller synthesis considers both robustness and closed-loop performance to ensure a fast and stable regulation characteristic. A simple tuning method provides the appropriate gains to meet design requirements. The superiority of proposed approach, determined by comparing the obtained time constants with those from typical PID controllers, confirms it as alternative to controller non-minimum phases systems. Experimental realization of the resulting controller, implemented through resistor–capacitor (RC) circuits and operational amplifiers (OPAMPs) in adder configuration, confirms its effectiveness and viability.

Design of a novel robust adaptive neural network‐based fractional‐order proportional‐integrated‐derivative controller on DC/DC Boost converter

“…Furthermore, the extra degree of freedom in the FOPID scheme, is considered a primary benefit for the FOPID method. This benefit results in the flexibility improvement design of the systems [13]. Also, the primary form of the operator is defined in the following.…”

“…However, these methods rely on the identification strategy, which leads to a lack of robustness in the controller structure. To overcome these limitations and benefits of the fast PID controller convergence, the Fractional-order Proportional-Integrated-Derivative (FOPID) schemes are utilized as a helpful method [13,14]. The fractional calculus concept has been introduced to be a popular method for redesigning, adapting, and extending conventional control techniques to reach developed dynamical responses and higher model accuracy.…”

On the Sliding Mode Control Applied to a DC-DC Buck Converter

“…The versatility of this converter makes it suitable for low and high-power applications. Among the main applications of the DC-DC buck converters, one can see their use in micro-grids [3][4][5][6], renewable energy systems [1,7,8], photovoltaic systems and battery charging [9,10], LED driver and energy management [11,12], speed control of DC and AC motor drivers [2,13] and so on.…”

“…One of the main objectives of most closed-loop feedback-controlled DC-DC converters is to ensure that the converter operates with fast dynamic response, small steady-state output error and low overshoot while maintaining high efficiency and low noise emission in terms of the rejection of input voltage changes uncertainties and load variations [14]. In this regard, the frequently used control methods applied to DC-DC converters can be associated to proportional-integral-derivative (PID) [2,4,5] and feedback linearization [3,4,15]. However, linear control methods require the plant to be linearized and thus are quite sensitive to external variations and uncertainties.…”

Optimal Fractional PID Controller for Buck Converter Using Cohort Intelligent Algorithm

“…The control effort involved is much lesser in the case of FOPID controllers [17]. Such controllers have been used to control various DC-DC converters like the buck, boost, buck-boost converters for various applications [18][19][20][21]. A review of the applications of fractional control in various power electronic systems is given in [22].…”