离散时间线性系统的半全球稳定受限于无限分布式输入延迟和执行器和
IEEE transactions on cybernetics
|October 11, 2024
概括
本研究提出了新的低增益反控制规律,以稳定具有无限输入延迟和执行器和度的离散时间系统. 开发的方法确保了这些复杂系统的半全球指数稳定性.
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:
- 离散时间系统经常面临输入延迟和执行器和的挑战,这限制了它们的稳定性和性能.
- 现有的控制策略难以有效地处理具有无限分布式输入延迟和执行器非线性同时存在的系统.
研究的目的:
- 为了研究具有无限分布式输入延迟和执行器和度的离散时间系统的半全球稳定问题.
- 开发新的低增益反控制法,能够处理这些具有挑战性的系统约束.
主要方法:
- 为特定的系统类型量身定制的两种不同的低增益反控制法律的制定.
- 对离散时间线性无限延迟系统的新型交换Lyapunov定理的介绍.
- 为扰乱的离散时间线性无限延迟系统建立一个新的稳定性分析定理,以管理和诱导的非线性.
主要成果:
- 拟议的控制法实现了研究系统的半全球指数稳定.
- 与之前对无限延迟和执行器和的工作相比,开发的框架提供了更准确的缩放和更普遍的方法.
- 结果涵盖了对于只有输入和或有边界的延迟和和作为特殊情况的系统的现有发现.
结论:
- 这项研究成功地展示了离散时间系统的有效稳定策略,其中结合了无限输入延迟和执行器和.
- 开发的新理论工具为分析和控制复杂的非线性延迟系统提供了坚实的基础.
- 数字示例证实了拟议的控制定理的实际有效性.
相关概念视频
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