应用数学和力学2026，Vol.47Issue(4)：426-439,14.DOI:10.21656/1000-0887.450303
未知干扰下多智能体系统任意预设时间的滑模编队优化
Sliding Mode Formation Optimization for Multi-Agent Systems With Unknown Disturbances in Predefined Time
摘要
Abstract
For leader-less multi-agent systems,the problem of distributed formation optimization in predefined time under unknown disturbances was studied,and the global cost function composed of local strongly convex functions for all agents was minimized.A class of formation optimization algorithms based on the sliding mode control was proposed to realize the formation control of multi-agent systems within the predefined time.The al-gorithm was divided into 3 parts:firstly,the integrated sliding mode control strategy was used to guide each a-gent to approach the sliding mode surface in the predefined time,and the external interference was effectively suppressed;then,the design protocol control was employed to guide each agent state to the minimum point of its local cost function;finally,the leaderless formation was realized for all agents to reach the minimum point of the global cost function.The algorithm does not require agents to share the gradients and Hessian matrix in-formation of neighbors,thus saving the information exchange cost,and can deal with highly nonlinear multi-valued strongly convex cost functions.Several examples of numerical experiments demonstrate the effectiveness and reliability of the design control protocol algorithm.关键词
多智能体系统/分布式优化/编队控制/预设时间/滑模控制Key words
multi-agent system/distributed optimization/formation control/predefined time/sliding mode control分类
数理科学引用本文复制引用
吴浩,过榴晓,张建成..未知干扰下多智能体系统任意预设时间的滑模编队优化[J].应用数学和力学,2026,47(4):426-439,14.基金项目
国家自然科学基金(61973137 （）
61807016) （）
江苏省自然科学基金(BK20181342 （）
BK20171142) （）
