ε-依赖/独立的动态事件触发控制交换的两个时间尺度系统的控制
IEEE transactions on cybernetics
|September 24, 2025
概括
这项研究引入了新的事件触发控制交换两时间尺度系统 (TTSSs),导出单一扰动参数 (SPP) 的明确上限,并确保没有Zeno的稳定性.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统分析 非线性系统分析
- 动态系统理论 动态系统理论
背景情况:
- 交换式双时间尺度系统 (TTSS) 由于其复杂的动态和交换性质,在控制设计中存在挑战.
- 对于TTSS的现有控制方法通常对单一扰动参数 (SPP) 施加限制性条件或依赖线性矩阵不等式 (LMIs).
- 频繁更新控制信号的计算负担是TTSS控制的实际应用中的一个重要问题.
研究的目的:
- 调查两个时间尺度交换系统 (TTSSs) 的事件触发复合控制问题.
- 开发新的动态事件触发机制,以减少计算负载,同时确保系统稳定性.
- 建立明确的稳定性条件,缓解单一扰动参数 (SPP) 上的现有约束.
主要方法:
- 在切换的TTSS中,为单一扰动参数 (SPP) 导出明确的上限.
- 开发SPP依赖和SPP独立的动态事件触发控制机制.
- 将边界层系统分析和在事件触发框架内平衡快速/缓慢时间尺度动态纳入.
- 建立足够的稳定性条件,基于SPP上限和取决于模式的平均停留时间.
- 在拟议的事件触发控制策略中排除Zeno的行为.
主要成果:
- 获得了SPP的明确上限,克服了先前研究的局限性.
- 提出了新的动态事件触发机制 (SPP依赖和独立),减少控制更新频率.
- 建立足够的稳定性条件,保证在开发的控制策略下确保系统的稳定性.
- 成功排除了Zeno的行为,确保了控制解决方案的实际实施性.
结论:
- 拟议的事件触发复合控制策略在放松条件下有效稳定切换的TTSS.
- 开发的机制显著降低了与控制信号更新相关的计算负担.
- 数字示例验证了与现有方法相比,提出的方法的有效性和优势.
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