通过Riccati设计,对线性多代理系统进行非最佳的分布式合作控制.
Shubo Li1, Tao Feng2, Jilie Zhang1
1School of Information Science and Technology, Southwest Jiaotong University, China.
ISA transactions
|December 14, 2024
概括
我们为多代理系统 (MAS) 开发了一个新的控制方案,使用图形属性优化性能. 这种方法为未定向和定向网络的系统成本提供了保证的上限.
科学领域:
- 控制理论 控制理论
- 网络化系统 网络化系统
- 系统工程 系统工程
背景情况:
- 多代理系统 (MAS) 在各种应用中至关重要,需要有效的分布式控制策略.
- 现有的合作控制方法通常在性能保证和适用于不同网络拓学的方面面临限制.
研究的目的:
- 为连续时间线性MAS提出一个非最佳的分布式合作控制方案.
- 为了确保特定的全方位二次性成本,函数实现了非定向和定向图.
- 开发一种独立于非定向图的最大自值的控制设计方法.
主要方法:
- 在非定向图中,对分布式线性反协议的成本函数的推导.
- 解决一个依赖于代数连接的参数代数里卡蒂方程 (PARE).
- 将该方法扩展到使用列和列拉普拉斯矩阵的定向图.
主要成果:
- 成本函数的上限是MAS的初始状态的二次形式.
- 使用PARE推导出最小的上限,仅依赖于代数连接性.
- 拟议的次优分布式设计方法实现的成本函数低于指定的正标量.
- 通过两个图形类型的数值示例来验证有效性.
结论:
- 拟议的控制方案为MAS控制提供了一个强大而有效的方法.
- 该方法提供了适用于非定向和定向网络结构的性能保证.
- 该方法与最大自值的独立性比现有的非定向图的技术提供了优势.
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