分数阶双输入Buck变换器的逆向解耦PIλ控制

Fractional-order Dual-input Buck Converter Under Inverted Decoupling PIλControl

为提高分数阶双输入Buck变换器的动静态性能,提出一种逆向解耦PIλ控制。首先,基于状态空间平均法建立双输入Buck变换器的分数阶数学模型,推导其分数阶小信号等效模型。随后,分析能量间的耦合关系。基于逆向解耦方法实现变量间的解耦,并推导实现分数阶逆向解耦的必要条件。最后,对解耦系统分别设计分数阶PI控制器,并结合分数阶系统的Nyquist判据证明控制系统的稳定性。仿真结果表明,所提控制策略具有良好的抗干扰性能和动静态调节特性。

To improve the dynamic and static performance of a fractional-order dual-input Buck converter,an inverted decoupling PIλcontrol is proposed.First,a fractional-order mathematical model of the dual-input Buck converter is es-tablished based on the state space averaging method,and its fractional-order small-signal equivalent model is derived.Then,the coupling relationship between energies is analyzed.Based on the inverted decoupling method,the decou-pling between variables is realized,and the necessary conditions for implementing fractional-order inverted decoupling are derived.Finally,fractional-order PI controllers are designed for the decoupled system,and the stability of the con-trol system is demonstrated by combing the Nyquist criterion for fractional-order systems.Simulation results show that under the proposed control strategy,the system has a good anti-interference performance,as well as satisfying dynamic and static regulation characteristics.