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随机切换拓扑下无人机集群预设时间跟踪控制

马骥1,陈向勇1,温广辉2,程龙1,邱建龙1   

  1. 1. 临沂大学
    2. 东南大学
  • 收稿日期:2024-06-05 修回日期:2024-07-18 出版日期:2024-07-22 发布日期:2024-07-22
  • 通讯作者: 陈向勇
  • 基金资助:
    国家自然科学基金;国家自然科学基金;国家自然科学基金

Predefined Time Tracking Control of Unmanned Aerial Vehicles Under Sto-chastic Switched Topologies

  • Received:2024-06-05 Revised:2024-07-18 Online:2024-07-22 Published:2024-07-22
  • Contact: xiangyong chen

摘要: 针对具有随机切换通信拓扑结构的二阶固定翼无人机集群系统的跟踪控制问题,提出了一种分布式预设时间自适应滑模控制方法。首先,建立了固定翼无人机集群的三自由度数学模型,并将其转化为带有扰动的二阶积分器模型。基于上述所建立的模型,选择了一个合适的滑模面,并在此基础上设计了分布式预设时间跟踪控制器,考虑到无人机集群系统在飞行过程中面临的干扰问题,提出了自适应控制策略来对其进行处理。此外,本文引用了一个预设时间定理,并通过李雅普诺夫稳定性理论证明了该二阶无人机系统可以在预设时间内达到稳定。最后,通过数值仿真验证了本文所提出的随机切换拓扑下固定翼无人机集群系统的跟踪控制策略具有可行性。

关键词: 无人机, 预设时间稳定, 分布式跟踪控制, 滑模控制, 随机切换拓扑

Abstract: A distributed predefined time adaptive sliding mode control method is proposed for the tracking control prob-lem of a second-order fixed-wing unmanned aerial vehicle(UAV) system with stochastic switching communi-cation topologies structure. Firstly, a three degree of freedom mathematical model for fixed-wing UAV cluster is established and transformed into a second-order integrator model with disturbances. Based on the model established above, a suitable sliding surface is selected, and a distributed predefined time tracking controller is designed on this basis. Considering the interference problem faced by the UAV system during flight, an adaptive control strategy was proposed to handle it. In addition, this article cites a predefined time theorem and proves through Lyapunov stability theory that the second-order UAV system can achieve stability within the predefined time. Finally, numerical simulations have demonstrated the feasibility of the proposed tracking control strategy for a fixed-wing UAV system with stochastic switching topologies.

Key words: UAV, Predefined time stability, Distributed tracking control, Sliding mode ontrol, Stochastic switching topologies

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