传递函数
控制理论(社会学)
分数阶微积分
PID控制器
分数阶系统
控制器(灌溉)
代表(政治)
频域
时域
功能(生物学)
计算机科学
阶跃响应
数学
控制系统
应用数学
控制(管理)
控制工程
工程类
温度控制
数学分析
人工智能
农学
进化生物学
生物
政治
法学
政治学
电气工程
计算机视觉
作者
Ertuğrul Keçeci,Erhan Yumuk,Müjde Güzelkaya,İbrahim Eksin
标识
DOI:10.1177/09596518231188494
摘要
It is known that analytical manipulation of the time-domain representation of fractional order transfer function is, hitherto, a challenging task. In this study, a controller design methodology based on the direct synthesis design method is proposed using bi-fractional order transfer function as a reference model and certain time-domain criteria. First, an analysis examines the effects of bi-fractional order transfer function parameters, that is, commensurate fractional order, damping ratio and natural frequency, on the system time-domain criteria. This examination has allowed us to set up a relation between damping ratio and commensurate fractional order. Next, a polynomial function fitting is established in order to express the damping ratio in terms of this commensurate order. Bi-fractional-order reference model is regenerated using the above-mentioned relationship. Furthermore, a control design algorithm that utilizes the newly derived bi-fractional order reference model is developed by considering control signal limitations. The proposed fractional order control design method is then compared with globally optimized fractional order proportional-integral-derivative (PID) controllers under the same circumstances and performance index. Finally, the implementation of the proposed controller design algorithm is done on a real-time active suspension system. The results are very satisfactory and incoherent with the simulations.
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