通过通过自适应边界控制通过PDEs建模的非线性不确定延迟多代理系统的共识
IEEE transactions on cybernetics
|April 9, 2025
概括
本研究涉及使用部分微分方程的非线性多代理系统的共识问题. 适应性边界控制器确保了系统稳定性和共识,通过数值示例验证.
科学领域:
- 控制理论 控制理论 控制理论
- 系统工程是系统工程.
- 应用数学 应用数学 应用数学
背景情况:
- 多代理系统中的共识问题由于非线性,时间变化的延迟和不确定性而复杂.
- 部分微分方程 (PDEs) 模型代理,其动态涉及时间和空间变量.
- 现有的控制策略可能面临边界控制和成本效益方面的挑战.
研究的目的:
- 开发一种适应性边界控制策略,以便在基于PDE的多代理系统中达成共识.
- 通过利用动态增益和最小边界执行器/传感器来降低控制成本.
- 建立强大的共识条件,确保指数稳定性.
主要方法:
- 使用边界测量的自适应边界控制器的开发.
- 定向图形理论用于系统互连的应用.
- 基于线性矩阵不等式 (LMI) 的推导共识条件.
- 利用不平等技术和莱普诺夫直接方法进行稳定性分析.
主要成果:
- 适应性边界控制器有效降低了控制成本.
- 基于LMI的条件保证了共识错误系统的指数稳定性.
- 拟议的控制协议在数值模拟中显示出有效性.
结论:
- 该研究成功地提出了基于PDE的多剂体系统的适应性边界控制方法.
- 该方法在具有挑战性的条件下实现共识和指数稳定性.
- 数字示例验证了开发的控制方案的有效性.
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