积极离散时间系统的成员关系多项式模糊控制:符号传输技术
Xiaomiao Li1, Jundong Zhao1, Fucai Liu1
1School of Electrical Engineering, Yanshan University, Qinghuangdao, Hebei 066004, China.
ISA transactions
|June 18, 2024
概括
这项研究引入了一种新的模糊的共同正的多项式Lyapunov-Krasovskii函数,用于稳定正系统. 拟议的方法通过结合积极性属性和模糊逻辑来增强稳定性分析,从而产生多项式模糊控制器.
科学领域:
- 控制理论 控制理论
- 模糊系统 (Fuzzy Systems) 是一个模糊系统.
- 系统工程 系统工程
背景情况:
- 传统的稳定性分析方法因缺乏积极性属性和会员功能而与积极系统作斗争.
- 现有的技术对于需要正面性和模糊逻辑集成的系统可能不是最佳的.
研究的目的:
- 开发一种新的方法来实现正系的多项式模糊稳定.
- 提出一个新的Lyapunov函数,它结合了积极性和模糊逻辑.
- 为增强系统稳定性设计一个多项式模糊控制器.
主要方法:
- 使用不完美的前提匹配 (IPM) 方法引入一个模糊的共同正的多项式Lyapunov-Krasovskii (FCPL) 函数.
- 应用一种符号转移技术,利用模糊的会员知识来放松稳定性条件.
- 通过对会员函数时刻和模糊模型/控制器会员函数的限制来减少符号数量.
主要成果:
- 提出了一种新的FCPL函数,考虑到对正系统至关重要的正性属性.
- 符号转移技术通过使用模糊的成员信息有效地放松了稳定性条件.
- 一个具有减少符号复杂性的多项式模糊控制器被成功导出.
结论:
- 拟议的FCPL函数和符号传输技术为正数系统的多项式模糊稳定提供了有效的框架.
- 与传统方法相比,开发的方法提供了改进的稳定性分析和控制器设计.
- 通过两个实例进行验证,证实了拟议的稳定技术的有效性.
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