The processes with fractional order delay and PI controller design using particle swarm optimization

被引:2
|
作者
Ozyetkin, Munevver Mine [1 ]
Birdane, Hasan [1 ]
机构
[1] Aydin Adnan Menderes Univ, Dept Elect & Elect Engn, Aydin, Turkiye
关键词
Time delay; Fractional order delay; Fractional order systems; PI controller; Particle swarm optimization; DISTRIBUTED PARAMETER-SYSTEMS; STABILITY TEST; TIME;
D O I
10.11121/ijocta.2023.1223
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, the stability analysis of systems with fractional order delay is presented. Besides, PI controller design using particle swarm optimization (PSO) technique for such systems is also presented. The PSO algorithm is used to obtain the controller parameters within the stability region. As it is known that it is not possible to investigate the stability of systems with fractional order delay using analytical methods such as the Routh-Hurwitz criterion. Furthermore, stability analysis of such systems is quite difficult. In this study, for stability testing of such systems, an approximation method previously introduced in the literature by the corresponding author is used. In addition, the unit step responses have been examined to evaluate the systems' performances. It should be noted that examining unit step responses of systems having fractional-order delay is not possible due to the absence of analytical methods. One of the aims of this study is to overcome this deficiency by using the proposed approximation method. Besides, a solution to the question of which controller parameter values should be selected in the stability region, which provides the calculation of all stabilizing PI controllers, is proposed using the PSO algorithm.
引用
收藏
页码:81 / 91
页数:11
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