通过动态输出反控制器对马尔科夫切换拓学下的多代理系统进行H∞共识的LMI方法
1Department of Electrical Engineering, POSTECH, Gyungbuk Pohang 37673, Republic of Korea.
ISA transactions
|December 12, 2024
概括
本研究解决了多代理系统中的H∞共识问题,使用马尔科夫切换拓. 动态输出反控制器是使用线性矩阵不等式设计的,以提高系统稳定性和性能.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 网络化系统 网络化系统
背景情况:
- 多代理系统对于分布式任务至关重要,但由于网络结构的变化 (马尔科夫切换拓),它们的性能可能会降低.
- 在这样的动态条件下,尤其是在有保证的绩效界限 (H∞) 的情况下,达成共识 (代理人之间的协议) 是一个重大挑战.
- 现有的方法经常与拓变化和外部干扰所带来的复杂性作斗争.
研究的目的:
- 开发一个强大的动态输出反 (DOF) 控制器,以实现在具有马尔科夫切换拓的多代理系统中实现H∞共识.
- 建立新的共识条件,以考虑自身价值变化和外部干扰.
- 提供基于这些条件的控制器设计的系统方法.
主要方法:
- 利用基于拉普拉斯矩阵的自值和自向量的一种不变性属性来处理马尔科夫切换拓.
- 模型自值变化作为边界不确定性来简化分析.
- 作为线性矩阵不等式 (Linear Matrix Inequalities,简称 LMI) 来导出共识条件,使用消除定理,适用于有或没有外部干扰.
主要成果:
- 成功地以LMI的形式获得了同等的共识条件.
- 通过解决这些LMI来演示H∞共识的DOF控制器的设计.
- 通过数值示例验证了拟议的方法,证实了其有效性.
结论:
- 拟议的DOF控制器设计有效地解决了具有马尔科夫切换拓的多代理系统的H∞共识问题.
- 基于LMI的方法提供了一种可计算的方法,用于在动态网络条件下确保系统稳定性和性能.
- 该研究为分布式控制和共识理论领域做出了有价值的贡献.
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