关于IT2模糊单元系统与外部干扰的内存采样数据控制设计的新结果
IEEE transactions on cybernetics
|September 22, 2025
概括
本研究设计了一个内存采样数据 (SD) 控制器,用于间隔类型-2模糊单数系统 (SS). 新的控制器通过使用先进的LMI方法在外部干扰下确保了系统的可接受性和稳定性.
科学领域:
- 控制系统工程 控制系统工程
- 模糊逻辑系统 模糊逻辑系统
- 非线性系统分析 非线性系统分析
背景情况:
- 间隔类型-2模糊奇点系统 (SSs) 由于其复杂性和固有的不确定性,存在独特的控制挑战.
- 外部干扰可以显著降低这些系统的性能和稳定性.
- 现有的采样数据 (SD) 控制方法往往表现为保守主义,限制了它们的适用性.
研究的目的:
- 设计一个强大的内存采样数据 (SD) 控制器,用于间隔类型-2模糊单一系统 (SS).
- 为了减少与稳定性分析中积分项相关的保守主义.
- 为了确保系统的可接受性,并达到指定的H∞干扰减弱水平.
主要方法:
- 开发一个改进的自由权重矩阵不平等,以尽量减少保守主义.
- 构建一个基于循环函数的新型Lyapunov-Krasovskii函数 (LKF),包含采样间隔数据.
- 使用线性矩阵不等式 (LMIs) 制定新的可接受性条件.
主要成果:
- 拟议的内存SD控制器设计保证了对间隔类型-2模糊SS的系统可接受性.
- 新的方法有效地减少了稳定性分析中的保守主义.
- 实现的H∞干扰减弱证明了控制器对外部干扰的强度.
结论:
- 开发的基于LMI的标准为设计模糊SS的内存SD控制器提供了不那么保守和有效的方法.
- 数字模拟验证了拟议方法在实际应用中的有用性和好处.
- 这项工作推进了复杂的不确定的动态系统的控制理论.
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