一类灵活的机械系统的振动控制,其输出约束基于部分微分方程
1School of Mechanical Engineering, Nantong Institute of Technology, Nantong, Jiangsu Province 226000, China.
PloS one
|April 23, 2025
概括
本研究提出了一种强大的控制策略,用于灵活的机械系统 (FMSs) 使用部分微分方程 (PDEs) 和屏障莱普诺夫函数 (BLF). 该方法有效地抑制振动,并确保稳定性在安全范围内,即使有干扰.
科学领域:
- 控制工程 控制工程 控制工程
- 机械系统动力学 机械系统动力学
- 应用数学 应用数学 应用数学
背景情况:
- 抑制振动对于提高灵活机械系统 (FMS) 的精度和运行寿命至关重要.
- 应用范围涵盖航空航天,机器人和精密制造,要求稳定性和性能强大的解决方案.
- 环境干扰对保持系统完整性和准确性构成重大挑战.
研究的目的:
- 在特定的灵活机械系统中引入一种新的强大的控制方案来抑制振动.
- 在外部干扰下,确保系统稳定性和在预定义的安全约束范围内保持运行输出.
- 通过比较模拟来验证拟议的控制战略的有效性.
主要方法:
- 模拟灵活的机械系统作为一个欧勒-伯诺利束与附加的刚性体.
- 使用部分微分方程 (PDEs) 和屏障莱普诺夫函数 (BLF) 原则制定一个强大的控制定律.
- 应用后退技术来整合控制策略和管理系统动态.
主要成果:
- 拟议的控制方案有效地减轻了灵活的机械系统中的振动和旋转.
- 尽管存在环境干扰,但系统的稳定性仍然保持.
- 在整个控制过程中,系统输出始终保持在预定义的安全限制内.
结论:
- 实施的控制策略,利用PDEs和BLF通过后退,为灵活的机械系统中抑制振动提供了强大的解决方案.
- 该方法在抵消不可预见的干扰方面表现出卓越的性能,同时遵守安全限制.
- 这种方法在苛刻的应用中提高了灵活的机械系统的精度,稳定性和可靠性.
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