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H2-H∞ 对于具有有限频率性能的异常扰乱系统的复合控制
IEEE transactions on cybernetics
|July 9, 2025
概括
本研究引入了一种新的有限频 (FF) 复合控制方法,用于异常扰乱系统. 该方法通过使用FF H2和H-infinity规范来提高低频和高频的控制性能.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 电气工程 电气工程
背景情况:
- 奇异扰动系统由于明显的缓慢和快速动态而存在挑战.
- 传统的控制方法可能无法充分满足不同频率范围的性能要求.
- 有限频 (FF) 控制提供了一种方法,可以根据特定频段量身定制性能.
研究的目的:
- 为连续单一扰动系统开发有限频 (FF) H2-H-无限复合控制策略.
- 为满足低频 (缓慢子系统) 和高频 (快速子系统) 范围的性能要求.
- 设计一个集成FF H2和FF H-infinity控制原理的控制器.
主要方法:
- 使用FF H2和FF H-infinity规范,分别为缓慢和快速子系统指定性能.
- 采用FF格拉米安矩阵方法来分析FFH2缓慢子系统的控制.
- 应用通用卡尔曼-雅库博维奇-波波夫 (GYKP) 定理来研究快速子系统的FF H-无限控制.
- 通过将子系统的设计控制器组合起来,开发一个复合控制器.
主要成果:
- 一个新的FF H2-H-infinity复合控制器已成功开发,用于连续的奇点扰乱系统.
- 拟议的控制方案有效地对特定频率范围内的缓慢和快速动态施加性能要求.
- 模拟示例证明了与现有方法相比,开发的控制策略的有效性和优越性.
结论:
- 有限频H2-H-无限复合控制方法对单一扰动系统有效.
- 该方法为在低频和高频领域实现所需性能提供了强大的框架.
- 拟议的控制方案提供了卓越的性能,通过对直流电机系统的模拟进行验证.
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