控制理论(社会学)
非周期图
稳健性(进化)
分数阶微积分
带宽(计算)
计算机科学
职位(财务)
控制工程
数学
工程类
控制(管理)
组合数学
化学
经济
人工智能
财务
基因
生物化学
计算机网络
应用数学
作者
Wang Tiecheng,Andrés San-Millán,Sumeet S. Aphale
标识
DOI:10.1016/j.isatra.2024.01.033
摘要
For most nanopositioning systems, maximising positioning bandwidth to accurately track periodic and aperiodic reference signals is the primary performance goal. Closed-loop control schemes are employed to overcome the inherent performance limitations such as mechanical resonance, hysteresis and creep. Most reported control schemes are integer-order and combine both damping and tracking actions. In this work, fractional-order controllers from the positive position feedback family namely: the Fractional-Order Integral Resonant Control (FOIRC), the Fractional-Order Positive Position Feedback (FOPPF) controller, the Fractional-Order Positive Velocity and Position Feedback (FOPVPF) controller and the Fractional-Order Positive, Acceleration, Velocity and Position Feedback (FOPAVPF) controller are designed and analyzed. Compared with their classical integer-order implementation, the fractional-order damping and tracking controllers furnish additional design (tuning) parameters, facilitating superior closed-loop bandwidth and tracking accuracy. Detailed simulated experiments are performed on recorded frequency-response data to validate the efficacy, stability and robustness of the proposed control schemes. The results show that the fractional-order versions deliver the best overall performance.
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