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分数顺序系统的内存融合控制器,在间歇采样数据传输下具有滑动内存窗口的分数顺序系统
IEEE transactions on cybernetics
|July 18, 2023
概括
本研究介绍了一种用于分数顺序 (FO) 系统的新型内存融合控制器,简化了控制设计和分析. 控制器确保稳定性,并减少复杂系统如多代理系统 (MAS) 的采样错误.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 应用数学 应用数学 应用数学
背景情况:
- 分数顺序 (FO) 系统表现出遗传性质,对传统的控制方法构成挑战.
- 采样数据控制引入了由于连续时间系统的离散时间近似而导致的复杂性.
- 协调多个FO系统 (MAS) 与间歇性数据传输需要强大的控制策略.
研究的目的:
- 开发一个内存融合控制器,用于FO系统的采样数据控制.
- 为了简化FO控制器的分析和实现,对于那些不熟悉小数计算的用户来说.
- 将控制器应用于FO多代理系统 (MAS) 的协调控制.
主要方法:
- 一个有限维的内存融合控制器是使用滑动内存窗口方法设计的.
- 控制器使伪状态能够在采样时匹配一般整数顺序 (IO) 离散植物.
- 控制器的非对称稳定性和采样误差的局限性在数学上得到保证.
主要成果:
- 拟议的控制器有效地处理了FO系统固有的遗传效应.
- 控制器设计简化,使FO计算更容易获得.
- 通过间歇性采样数据传输在FO MAS中达成共识,并表明仅取决于通信图的连接性.
结论:
- 记忆融合控制器为FO系统的采样数据控制提供了实用和有效的解决方案.
- 该方法促进了FO控制的分析和应用,特别是在MAS协调中.
- 这些发现证明了控制器在复杂的动态系统中的有效性和稳定性.
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