d稳定IIR滤波器设计的粒子群算法

Shing‐Tai Pan, Cheng-Yuan Chang
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引用次数: 14

摘要

本文研究了基于粒子群优化算法的鲁棒稳定数字滤波器的设计。利用遗传算法(GA)对设计结果进行了比较。我们首先推导了一个鲁棒稳定性判据,该判据将用于保证数字滤波器在DE演化过程中的D(α, r) -稳定性。最后,我们将DE设计的结果与遗传算法设计的结果进行比较。通过本文的设计实例可以发现,粒子群算法的性能优于遗传算法。
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Particle Swarm Optimization on D-stable IIR filter design
This paper explores the design of robust stable digital filter by the Particle Swarm Optimization (PSO) algorithm. The results are compared to the design by Genetic Algorithm (GA). We first derive a robust stability criterion which will be used to ensure the D(α, r) -stability of the digital filter in the evolution of DE. Finally, we will compare the result designed by DE with that designed by GA. It will be found that the performance of the PSO is better that that of GA in the design example of this paper.
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