| 杨梓鹏,张荣强,刘琛.带有反应扩散项的多智能体系统在边界控制下的平均一致性[J].南华大学学报(自然科学版),2025,(1):62~68.[YANG Zipeng,ZHANG Rongqiang,LIU Chen.Average Consensusof Multi-agent Systems with Reaction-diffusion Terms Under Boundary Control[J].Journal of University of South China(Science and Technology),2025,(1):62~68.] |
| 带有反应扩散项的多智能体系统在边界控制下的平均一致性 |
| Average Consensusof Multi-agent Systems with Reaction-diffusion Terms Under Boundary Control |
| 投稿时间：2024-07-11 |
| DOI： |
| 中文关键词: 多智能体系统 边界控制 平均一致性 |
| 英文关键词:multi-agent systems(MASs) boundary control average consensus |
| 基金项目:国家自然科学基金项目(62373143);湖南省自然科学基金项目(2021JJ50063);湖南省教育厅重点项目(21A0366;22A0406);湖南省教育厅自然科学项目(23C0205) |
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| 中文摘要: |
| 为解决一类抛物型偏微分方程在多智能体系统中的复杂控制问题,提出了一种创新的边界控制策略,旨在提升系统的稳定性和一致性。该策略设计了作用于边界点的智能控制器,并考虑了有无输入约束的两种情况。通过利用Lyapunov泛函和线性矩阵不等式技术,给出了系统取得平均一致性的充分条件。数值算例和仿真验证显示,该方法在有无输入约束下均能实现系统的稳定与一致,具有较快的收敛速度和较高的控制精度,证明了其在实际应用中的可行性和有效性。 |
| 英文摘要: |
| To solve the complex control problem of a class of parabolic partial differential equations in a multi-agent system, an innovative boundary control strategy is proposed with the aim of improving the stability and consensus of the system. The strategy designs agent controllers acting at boundary points and considers two cases with or without input constraints. Sufficient conditions for the system to achieve average consensus are given by utilizing Lyapunov generalization and linear matrix inequality techniques. Numerical examples and simulation verification show that the method can achieve system stability and consensus with or without input constraints, with fast convergence speed and high control accuracy, proving its feasibility and effectiveness in practical applications. |
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