交换系统的非脆弱控制与基于凸优化的内存反
1School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, 113001, People's Republic of China.
Scientific reports
|April 18, 2025
概括
本研究针对离散时间延迟开关系统的非脆弱强大的稳定,开发了一个内存反控制定律,以确保稳定性和广泛的吸引力,尽管控制器的干扰.
科学领域:
- 控制系统工程 控制系统工程
- 系统理论系统理论
- 非线性控制是指非线性控制.
背景情况:
- 离散的时间延迟开关系统带来了独特的控制挑战.
- 强大的稳定旨在保持系统稳定,尽管存在不确定性和干扰.
- 执行器和和控制器扰动 (非脆弱性) 复杂控制设计.
研究的目的:
- 为离散时间延迟开关系统设计一种非脆弱的强大稳定策略.
- 开发一个内存反控制定律和一个切换定律以提高稳定性.
- 为了确保在原点的非对称稳定性,并使吸引力域最大化.
主要方法:
- 使用交换式Lyapunov功能方法进行稳定性分析.
- 获得了足够的条件,以实现非脆弱的强大稳定.
- 采用凸优化与线性矩阵不等式 (LMI) 约束来设计控制定律并最大化吸引区域.
主要成果:
- 建立了足够的条件,以实现非脆弱的强稳定.
- 设计了一个与内存的非脆弱状态反控制法.
- 拟议的方法在数值模拟中表现出有效性,在状态响应和估计的吸引域方面表现优于无内存控制器.
结论:
- 拟议的交换式Lyapunov功能方法有效地解决了离散时间延迟交换系统的非脆弱的强大稳定.
- 记忆反控制提高了系统性能和对干扰和和的稳定性.
- 基于LMI的优化提供了一种系统的方式来设计控制器,最大限度地提高吸引力域.
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