智能校园的建设和管理:基于PDE建模的灵活操纵器的反干扰控制
Yunxia Wei1, Yuanfei Zhang2, Bin Hang3
1Wuxi Vocational College of Science and Technology, Jiangsu, Wuxi 214028, China.
Mathematical biosciences and engineering : MBE
|September 7, 2023
概括
本研究介绍了智能校园中灵活操纵器 (FM) 的新控制策略,以减少振动和干扰. 拟议的比例导数边界控制 (PDBC) 方法提高了系统的稳定性和性能.
科学领域:
- 机器人和控制系统 机器人和控制系统
- 智能校园技术 智能校园技术
- 抑制振动 抑制振动 抑制振动
背景情况:
- 灵活的操纵器 (FM) 在智能校园环境中越来越多地使用.
- 弹性振动和外部干扰对FM控制精度构成重大挑战.
- 使用普通微分方程 (ODEs) 的传统建模可能无法完全捕捉复杂的动态.
研究的目的:
- 在智能校园中为FM开发先进的态度跟踪控制策略.
- 为了应对弹性振动和外部干扰的挑战.
- 提高FM系统的稳定性和防干扰能力.
主要方法:
- 使用汉密尔顿原理 (HP) 建立了部分微分方程 (PDEs) 动态模型.
- 在操纵器的终端效应器中引入了一个边界控制条件,以管理振动.
- 提出了一种比例导数边界控制 (PDBC) 策略,利用利亚普诺夫函数来抑制振动.
主要成果:
- 建议的PDBC策略有效地抑制了灵活操纵器中的振动.
- 数字模拟证明了控制方法对外部干扰的稳定性.
- 基于PDE的模型提供了对操纵器动态的更全面的表示.
结论:
- 开发的PDBC策略为智能校园应用中FM的态度跟踪控制提供了强大而有效的解决方案.
- PDE建模方法提高了灵活操纵器动态的理解和控制.
- 这项研究有助于机器人系统在动态环境中可靠运行.
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