一种用于非线性冲动随机系统的可变收率的滑动模式控制方法
IEEE transactions on cybernetics
|March 27, 2025
概括
这项研究引入了非线性冲动静态系统 (NISS) 的新型滑动模式控制器,使得可调节的收率和有效的抑制成为可能. 该方法可确保NISS具有可变的收率的有限时间稳定性.
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.
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 对于非线性冲动随机系统 (NISS) 的现有控制方法通常存在固定的收率,这限制了它们的适应性.
- 在NISS中,可变收率稳定性的问题需要先进的控制策略来满足各种应用需求.
- 是这些系统中常见的问题,需要有效的抑制才能实现可靠的性能.
研究的目的:
- 开发一种新的方法来设计NISS的滑动模式表面.
- 构建一类新的滑动模式控制器,能够实现可变收率稳定性.
- 调查拟议的控制器的动抑制能力,并分析西格功能的影响.
主要方法:
- 一种滑动模式表面设计方法,结合了间隔稳定性和TS模糊技术.
- 使用设计的表面和sigmoid功能的滑动模式控制器的构建.
- 导出足够的条件来实现有限时间的趋同和可变的趋同率稳定性.
主要成果:
- 拟议的控制器实现了系统收率的智能调整,克服了固定率的局限性.
- 通过分析不同sigmoid功能的影响,证明了有效的抑制.
- 建立了足够的条件,以保证有限时间状态转移到滑动表面和可变收率稳定性.
结论:
- 新的滑动模式控制策略有效地解决了NISS的可变收率稳定性问题.
- 拟议的控制器提供可调整的收率和强大的动抑制,通过球束系统上的模拟验证.
- 这种方法提供了一个灵活而强大的工具来控制复杂的非线性冲动随机系统.
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