多智能体系统层级预定义时间最优容错控制
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TP273

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国家自然科学基金项目(62403137, 92367109);教育部人文社会科学研究基金一般项目(22YJCZH061).


Hierarchical predefined-time optimal fault-tolerant control for multi-agent systems
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    摘要:

    针对存在传感器故障与非仿射故障的多智能体系统容错控制问题, 提出一种层级预定义时间最优容错控制框架. 以提升系统可靠性和收敛速度为研究目标, 基于层级控制、强化学习和预定义时间稳定性理论, 构建虚拟层与实际控制层的协同机制. 在虚拟层设计分布式最优一致性跟踪控制器, 通过自适应状态观测器估计未知非线性动态, 结合滑模面与演员-评论家结构求解近似最优控制策略, 实现多智能体同步最优控制与能量最小化; 实际控制层基于虚拟层生成的最优轨迹, 设计自适应模糊预定义时间容错跟踪控制器, 利用 Lyapunov 稳定性理论保证跟踪误差在预定义时间内收敛至有界集合, 同时逼近传感器故障参数与非仿射故障函数. 通过调整所设计控制器中的预定义参数, 系统可以在期望的预定义时间内实现自适应跟踪的目标. 最后, 通过仿真实验验证了所提出控制策略的有效性.

    Abstract:

    This paper addresses the fault-tolerant control (FTC) problem for multi-agent systems (MASs) subject to concurrent sensor faults and non-affine faults. A hierarchical predefined-time optimal FTC framework is proposed to enhance system reliability and convergence speed. Leveraging hierarchical control architecture, reinforcement learning (RL), and predefined-time stability theory, a synergistic mechanism between virtual and actual control layers is established. Within the virtual layer, a distributed optimal consensus tracking controller is developed. This incorporates an adaptive state observer to estimate unknown nonlinear dynamics and integrates sliding mode surfaces with an actor-critic structure to derive an approximate optimal control policy. This approach simultaneously achieves multi-agent synchronization, optimal control, and energy minimization. The actual control layer synthesizes an adaptive fuzzy predefined-time FTC tracking controller based on optimal trajectories generated by the virtual layer. Utilizing the Lyapunov stability theory, this controller guarantees that tracking errors converge to a predefined-time bounded set within a user-specified time, while concurrently approximating sensor fault parameters and non-affine fault functions. By tuning predefined parameters in the designed controllers, the system achieves adaptive tracking objectives within any desired, user-defined time. Numerical simulations validate the effectiveness of the proposed control strategy.

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刘尚坤,谢俊江,黄景丽,等.多智能体系统层级预定义时间最优容错控制[J].控制与决策,2026,41(5):1242-1256

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  • 收稿日期:2025-08-05
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  • 在线发布日期: 2026-04-17
  • 出版日期: 2026-05-10
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