考虑计算延迟的Boost变换器异步切换控制方法  

Asynchronously switching control method for Boost converter considering computational delay

作　　者：王荣浩 Wang Ronghao(National Defense Engineering College, Army Engineering University of PLA, Nanjing 210007, China)

机构地区：[1]中国人民解放军陆军工程大学国防工程学院,南京210007

出　　处：《东南大学学报（自然科学版）》2021年第1期92-100,共9页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61603414).

摘　　要：为应对Boost变换器电路中控制律的计算延迟及高频切换,提出一种基于时间切换的有限时间异步控制方法实现变换器的稳定控制.首先利用切换系统方法建立Boost变换器在开关动作和电路拓扑切换间发生延迟的异步控制模型;然后结合平均驻留时间方法与多Lyapunov函数,利用占空比实现变换器的混杂切换控制;最后基于有限时间控制原理,得到控制律的计算时间、切换信号驻留时间与系统稳定运行时间之间的定量关系.结果表明,在0.9 ms运行时间内,当电路系统的切换信号与实际控制律切换信号间存在0.05 ms的延迟时,异步切换控制总切换次数为5,少于同步切换控制总切换次数11,未出现高频振动现象.异步切换控制方法能够有效抑制电路输出响应在平衡点附近的高频振动,控制性能更优.To deal with the computational delay of control laws and high frequency switching in the circuit of Boost converter,a finite-time asynchronous control method based on time switching was proposed to realize a stable control of the converter.First,the asynchronous control model for the Boost converter with time delay between the switching action and the circuit topology switching was established by a switched system method.Then,the duty ratio was used to realize the hybrid switching control of the converter by combining the average dwell time method with the multiple Lyapunov function.Finally,based on the principle of finite-time control,the quantitative relationships among the calculation time of the control law,the dwell time of the switching signal and the stable operation time of the system were derived.Results show that the total switching times(5 times)of the asynchronous switching control are less than that(11 times)of the synchronous switching control,and there is no high-frequency vibration phenomenon when there is a time delay of 0.05 ms between the switching signal of the circuit system and that of the actual control law within 0.9 ms running time.The asynchronously switching control method can effectively suppress the high-frequency vibration of the circuit output response near the equilibrium point.Thus,the method has better control performance.

关 键 词：BOOST变换器 切换系统 计算延迟 平均驻留时间 多LYAPUNOV函数 有限时间异步控制 

分 类 号：TP17[自动化与计算机技术—控制理论与控制工程]