新的灵活固定时间稳定定理及其应用于滑动模式控制非线性系统
Jingang Liu1, Ruiqi Li1, Jianyun Zheng2
1School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China.
The Review of scientific instruments
|August 1, 2024
概括
这项研究引入了一个新的固定时间稳定定理和非线性系统的积分滑动模式表面,提高了控制速度和能源效率. 新方法提供灵活的参数设置,与传统方法相比,缩短了18%的融合时间.
科学领域:
- 控制理论 控制理论
- 非线性系统是非线性系统.
- 应用数学 应用数学 应用数学
背景情况:
- 固定时间稳定性 (FxTS) 对于非线性系统控制,平衡速度和能量至关重要.
- 现有的FxTS不平等可能是保守的,限制性能.
- 滑动模式控制 (SMC) 是一种强大的控制技术,通常用于非线性系统.
研究的目的:
- 为了提高控制性能,开发一个新的FxTS定理,具有较少保守的不等式.
- 为固定时间控制提出了一种全新的整体滑动模式表面和控制器.
- 证明拟议方法在控制混乱和电机系统方面的有效性.
主要方法:
- 开发一个新的FxTS定理,使用较少保守的不等式和灵活的参数设置.
- 一个全新的滑动模式表面和滑动模式控制器的设计.
- 拟议控制算法的应用和数值模拟,用于混乱的洛伦兹系统和永磁同步电机系统.
主要成果:
- 拟议的FxTS定理允许更灵活的参数设置,并提供了确切的设置时间的上限.
- 与传统的FxTS SMC相比,新的整体滑动模式控制器实现了与传统的FxTS SMC相比,合时间减少了18%.
- 据估计,固定时间等待时间的上限减少了41%,通过参数调整改善了收速度.
结论:
- 拟议的FxTS定理和整体滑动模式控制为非线性系统的固定时间控制提供了更灵活和更优越的方法.
- 该方法在趋同时间和效率方面显示出显著的改进.
- 通过对复杂的混乱和电机械系统的成功应用来验证这些发现.
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