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适应性固定时间TSM用于未知干扰下不确定的非线性动态系统.
Saim Ahmed1,2, Ahmad Taher Azar1,2,3, Haoping Wang4
1College of Computer and Information Sciences Prince Sultan University Riyadh, Riyadh, Saudi Arabia.
PloS one
|August 21, 2024
概括
本研究介绍了适应性终端滑动模式控制 (TSM) 对于面临干扰的非线性系统. 这种新的方法确保了固定时间的稳定性和流的控制,优于现有的方法.
科学领域:
- 控制系统工程 控制系统工程
- 非线性动力学是一种非线性动力学.
- 适应性控制理论 适应性控制理论
背景情况:
- 非线性系统容易受到外部干扰和不确定性的影响.
- 现有的固定时间终端滑动模式控制 (TSM) 方法与未知的动态作斗争.
- 强大的控制对于在不利条件下保持系统稳定性至关重要.
研究的目的:
- 开发适应性终端滑动模式控制 (TSM) 策略,用于具有固定时间收的非线性系统.
- 解决目前的固定时间TSM方案在处理不确定性和干扰方面的局限性.
- 为了确保系统稳定性和在预先确定的有限时间内平稳的控制输入.
主要方法:
- 引入了一种具有特定滑动表面的新型固定时间TSM.
- 开发用于固定时间稳定性分析的新.
- 集成适应性控制方案与固定时间的TSM,以管理未知的动态和外部干扰.
- 通过利亚普诺夫分析,严格证明固定时间内的闭环稳定性.
主要成果:
- 拟议的自适应式TSM方法实现了快速收和固定时间稳定性.
- 控制输入被证明是平稳的和非单一的.
- 利亚普诺夫分析证实了闭环系统在固定时间内的稳定性.
- 与现有策略相比,模拟结果验证了拟议方法的有效性和优越性.
结论:
- 适应式固定时间TSM为控制具有不确定性和干扰的非线性系统提供了强大的解决方案.
- 该方法在趋同速度,控制流性和保证固定时间稳定性方面提供了增强的性能.
- 模拟示例证实了拟议的控制策略的实际适用性和有效性.
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