基于冲动控制的高度非线性混合动力随机延迟网络的周期性自我触发策略
Hui Zhou1, Ju H Park2, Yin Zhu3
1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China; Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyonsan 38541, Republic of Korea.
ISA transactions
|February 4, 2024
概括
这项研究稳定了复杂的非线性网络,使用脉冲下的周期性自我触发控制. 它为这些网络建立了一个新的稳定标准,确保可靠的系统性能.
科学领域:
- 控制理论 控制理论
- 网络化系统 网络化系统
- 非线性动力学 非线性动力学
背景情况:
- 高度非线性混合动力随机延迟网络 (HSDN) 存在重大控制挑战.
- 现有的控制方法往往需要持续的状态监控,导致高通信和计算负担.
研究的目的:
- 研究高度非线性HSDN的稳定,使用脉冲下的周期性自触发控制 (PS-TCI).
- 为这些复杂的网络建立一个新的稳定标准.
主要方法:
- 研究在PS-TCI下为HSDN提供独特的全球解决方案的存在.
- 使用图形理论方法和使用辅助计时器的基于Lyapunov的新型分析,开发了一个稳定标准.
- 较不保守的条件 (多项式增长,局部利普希茨) 用于漂移和扩散系数.
主要成果:
- 成功建立了高度非线性HSDN的稳定标准.
- PS-TCI 设计确保触发的瞬间不是随机变量,因为它专注于 Lyapunov 函数的预期值上限.
- 理论结果通过应用到FitzHugh-Nagumo电路和六足机器人中央模式生成器来验证.
结论:
- 拟议的PS-TCI方法为稳定高度非线性HSDN提供了一种有效的方法.
- 基于Lyapunov的新分析提供了一个不那么保守而更实用的稳定标准.
- 这些发现在复杂的生物和机器人系统中具有潜在的应用.
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