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

机译:降压升压转换器PID控制器的分数近似

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摘要

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 microano-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.
机译:研究了分数比例积分衍生物(PID)近似以调节降压 - 升压转换器中电压的步骤。转换器应用范围不仅可以到高功率,而且还包括来自生物医学的微/纳米级系统,用于能量管理/收获。使用经典的闭环控制图,确定控制器效果。由于其在精确地建模不同类型的系统的能力而认为分数微积分。非整数方法通过拉普拉斯操作员双层近似集成到控制策略中,以在系统闭环频率响应中产生平相曲线。控制器综合考虑了鲁棒性和闭环性能,以确保快速稳定的调节特性。简单的调谐方法提供适当的增益,以满足设计要求。通过将所获得的时间常数与来自典型PID控制器的那些的比较来确定所提出的方法的优越性证实它是控制器非最小阶段系统的替代。通过加法器配置中通过电阻 - 电容(RC)电路(RC)电路和运算放大器(OPAMPS)实现的所得控制器的实验实现证实了其有效性和可行性。

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