具有状态约束的非严格反高阶随机非线性系统的固定时间自适应模糊控制
IEEE transactions on cybernetics
|August 27, 2025
概括
本研究介绍了对具有状态约束的随机非线性系统的自适应固定时间控制. 一个新的Lyapunov屏障功能确保了系统的稳定性和固定时间内的状态.
科学领域:
- 控制理论
- 非线性系统
- 随机系统
背景情况:
- 随机高阶非线性系统 (HONS) 由于状态约束和不确定性而存在挑战.
- 现有的控制方法经常与不对称的全态约束和随机干扰作斗争.
研究的目的:
- 为具有全状态约束的随机HONS开发一个适应的固定时间跟踪控制策略.
- 使用分数屏障莱普诺夫函数 (BLF) 来解决不对称状态约束.
- 通过模糊逻辑系统处理随机干扰和未知非线性.
主要方法:
- 使用分数屏障莱普诺夫函数 (BLF) 来管理不对称的全态约束.
- 使用模糊逻辑系统来近似未知的非线性和随机干扰.
- 应用添加功率集成器技术和控制器设计的后退方法.
- 利用固定时间的利亚普诺夫稳定理论来保证概率的固定时间限制.
主要成果:
- 设计了一个可适应的固定时间模糊状态反控制器,确保所有信号保持边界.
- 所有系统状态都被证明在受约束的间隔内.
- 这种非线性系统在概率上表现出固定的时间限制.
- 拟议的BLF方法可以适应不受约束的高级系统.
结论:
- 开发的控制策略有效地管理具有完全状态约束的随机HONS.
- 分数BLF为不对称状态的限制提供了一个强大的解决方案.
- 模拟结果,包括弹质阻尼系统,验证了控制策略的性能.
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