摘要
为了提高单管正激变换器非线性系统的控制性能,将遗传算法改进的反步法应用于此系统中。在建立了二阶非线性系统数学模型后,对具有参数严格反馈形式的模型运用反步设计方法,并针对其中误差函数的优化问题,引入遗传算法,通过选择跟踪误差和虚拟控制量,构造适当的李雅普诺夫函数,使电感电流和电容电压状态分量具有渐进特性,实现整个系统在大扰动下的全局渐进稳定性,进而得到反馈控制律的表达式。通过相应的实验,验证了遗传算法改进的反步法的有效性和正确性。
In order to formance of the forward improve the control perconverter, the genetic algorithm improved the back - stepping design ap- proach is proposed to apply to converter control. The second order nonlinear system mathematical models is founded, back- stepping design is used in the models with parameters of strict feedback. According to the error function of the optimization problem, genetic algorithm is introduced. The tracking error and virtual control variable are selected, and appropriate Lyapunov functions are made. So that capacitor voltage and inductor current state variables have the appropriate asymptotic component features and the whole system under a large disturbance has a global asymptotic stability. The expression of the feedback control law is reduced. Finally, the effectiveness and correctness of the control method are verified by corresponding experiments.
出处
《机械与电子》
2013年第6期38-41,共4页
Machinery & Electronics
基金
宝鸡文理学院重点科研项目基金(ZK11049)
关键词
正激变换器
反步法
李雅普诺夫函数
遗传算法
forward converter
back - steppingdesign approach
Lyapunov function
genetic algo-rithm