随机非线性系统的动态事件触发控制中的稳定性:G-布罗恩运动场景
Junqing Ma1, Junhao Hu1, Sen Li1
1College of Mathematics and Statistics, South-Central MinZu University, Wuhan, Hubei, 430074, China.
ISA transactions
|October 18, 2025
概括
本研究介绍了一种新的动态事件触发控制器,用于由G-布罗恩运动驱动的随机非线性系统. 控制器通过消除正常分布约束和适应次线性期望框架来提高稳定性.
科学领域:
- 控制理论 控制理论
- 随机系统 随机系统 随机系统
- 非线性动力学是一种非线性动力学.
背景情况:
- 由G-布罗恩运动驱动的随机非线性系统 (SNSs) 由于其次线性预期框架,提出了独特的挑战.
- 现有的事件触发控制 (E-TC) 理论通常对G-SNS无效,特别是那些依赖正常分布假设的理论.
研究的目的:
- 调查G-SNSs的事件触发稳定问题.
- 设计一个新的动态事件触发控制器,以考虑G噪声特征.
- 在亚线性预期框架内克服当前E-TC理论的局限性.
主要方法:
- 一个与G噪声相关的动态事件触发控制器的设计.
- 由G-Brownian运动驱动的辅助连续时间控制系统的建造.
- 应用模型转换方法进行稳定性分析.
- 在G-预期下开发一种新的稳定性标准,放松了Lyapunov函数的要求.
主要成果:
- 拟议的控制器通过消除正常分布约束来稳定G-SNS.
- 建立了一个新的稳定性标准,其适用范围比传统的Lyapunov条件更广泛.
- 事件触发控制系统的瞬间指数稳定性被证明是任意命令 (p≥0).
- 理论发现通过对二级弹阻尼系统的模拟进行验证.
结论:
- 新型事件触发控制器有效地稳定了G-SNS在亚线性预期框架内.
- 开发的稳定性标准为G-SNS分析提供了更普遍的方法.
- 这项研究推进了对复杂的随机系统的事件触发控制领域.
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