用遗传算法优化设计分数阶微分器
Genetic Algorithm for Optimal Design of Fractional Order Differentiator
作者：张力支(四川大学 电子信息学院，四川 成都 610064)；周激流(四川大学 计算机学院（软件学院），四川 成都 610064)；郎方年(重庆大学 计算机学院，重庆 400044)
Author：(School of Electronics and Info. Eng., Sichuan Univ., Chengdu 610064, China)；(School of Computer Sci.(Software), Sichuan Univ., Chengdu 610064, China)；(School of Computer, Chongqing Univ., Chongqing 400044, China)
收稿日期：2007-05-09 年卷（期）页码：2008,40(1):158-162
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：分数阶微分器;遗传算法;分数阶微积分;分数阶控制系统;变异系数
Key words：fractional order differentiator; genetic algorithm; fractional calculus; fractional control system; variation coefficient
基金项目：国家自然科学基金资助项目(60572033)
中文摘要
为了进一步提高分数阶微分器的精度，将遗传算法引入到滤波设计中，获得了性能更加优越的分数阶微分器。首先分析了分数阶微分器的特点和设计方法，通过对相应IIR滤波器的系数进行优化，得到了分数阶微分器的全局最优个体，避免了传统方法设计分数阶微分器中高频出现的误差。仿真结果表明，由该算法设计的分数阶微分器明显优于其它方法，能有效的逼近理想分数阶微分器的幅频响应。
英文摘要
In order to improve the accuracy of fractional order differentiator, a hybrid genetic algorithm was applied to design fractional order differentiator. The characters and design method of fractional order differentiator was analyzed, and through optimizing coefficients of corresponding IIR filter, the global optimum chromosome was obtained and high frequency deviation of fractional order differentiator designed by traditional methods was avoided. Simulation experiments demonstrated that the fractional order differentiator performance obtained in this paper outperforms to others and its magnitude response approaches to the ideal fractional order differentiator.
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