调整控制器参数使用毕达哥拉斯模糊相似度衡量稳定和时间延迟不稳定植物的控制器参数
Murat Akdağ1, Mehmet Serhat Can1
1Faculty of Engineering and Architecture, Department of Electrical-Electronic Engineering, Tokat Gaziosmanpasa University, Tokat, Turkey.
PeerJ. Computer science
|September 14, 2023
概括
本研究引入了一种新的调整方法,用于使用毕达哥拉斯模糊相似性和多标准决策的分数顺序PID (FOPID) 和PI-PD控制器. 这种方法优化了控制器参数,以提高系统性能,而不需要系统模型.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 优化技术 优化技术
背景情况:
- 传统的控制器调整方法通常依赖于系统模型,并且可能是复杂的.
- 分数顺序控制器 (FOPID) 和混合PI-PD控制器提供先进的控制功能.
- 现有的性能指标可能无法完全捕捉所需的瞬态和稳定状态响应.
研究的目的:
- 为FOPID和PI-PD控制器提出一种无模型的控制器调方法.
- 使用毕达哥拉斯模糊相似性开发一个多目标成本函数,结合过渡和稳定状态性能.
- 应用多标准决策来进行最佳的控制器参数选择.
主要方法:
- 利用毕达哥拉斯模糊相似性来定义基于系统的瞬态和稳定状态属性的多目标成本函数.
- 采用连续域 (ACOR) 的群优化和人工蜂群 (ABC) 优化来最大限度地降低成本.
- 在不同的系统上验证该方法:第二阶段非最小阶段,第一阶段具有时间延迟的不稳定性,以及分数阶段具有时间延迟的不稳定性.
主要成果:
- 拟议的方法在非最小阶段系统中显著减少了下.
- 与传统的基于错误的整体成本函数 (IAE, ITAE, ISE, ITSE) 相比,在具有时间延迟的不稳定系统中,超越和振荡大幅减少.
- 该方法通过增强系统响应特征,证明了优越的控制性能.
结论:
- 基于模糊相似性的毕达哥拉斯调方法为FOPID和PI-PD控制器提供了一种有效的,无模型的方法.
- 它为传统调方法提供了强大的替代方案,特别是对于具有复杂动态或未知模型的系统.
- 该方法可以独立使用,也可以作为级联调过程中的微调步骤.
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