让多个智能体在限制下安全同步,兼顾输入约束与动态安全区间。
Distributed Safe Consensus Under Asymmetric Input and Time-Varying Output Constraints

- 用坐标变换和分布式控制实现输入可接受、输出始终安全。
- 闭环系统全程有界,状态指数收敛至预设安全轨迹。
- 适合需实时安全控制的多机器人或车联网场景。
本文研究在连通无向图上,单积分器多智能体系统在同时存在非对称执行器约束和输出安全约束下的安全分布式一致性问题。每个智能体配备连续可微的非对称执行器动力学,将指令控制信号映射为实际输入,并保证后者严格位于预设允许区间内。为保障输出安全,引入基于共同时变安全区间的障碍-坐标变换,并在变换后的坐标中设计分布式同步律。所提出的控制器融合图结构协调层与执行器侧跟踪层,实现输入可接受性、安全输出集正不变性及渐近同步的同步保障。对于初始条件的紧致允许集,证明了闭环解完备,所有信号有界,执行器输入始终严格在非对称边界内,且智能体输出在所有时刻保持在预定安全区间内。此外,变换后的同步误差指数收敛至零,原始智能体输出渐近同步至嵌入公共安全区间的设计师选定轨迹。数值仿真验证了该框架的有效性,展示了在非对称执行器边界和时变输出约束下的安全一致性行为。
原文摘要 · Abstract (English)
This paper studies safe distributed consensus for single-integrator multi-agent systems over connected undirected graphs under simultaneous asymmetric actuator constraints and output safety constraints. Each agent is equipped with a continuously differentiable asymmetric actuator dynamics that maps a commanded control signal to the realized plant input while keeping the latter strictly inside a prescribed admissible interval. To address output safety, a barrier-coordinate transformation is introduced over a common time-varying safe interval, and a distributed synchronization law is designed in the transformed coordinates. The resulting controller integrates a graph-based coordination layer with an actuator-side tracking layer, thereby enabling simultaneous enforcement of input admissibility, forward invariance of the safe output set, and asymptotic synchronization. For compact admissible sets of initial conditions, it is shown that the closed-loop solution is complete, all signals remain bounded, the actuator inputs remain strictly within their asymmetric bounds, and the agent outputs remain inside the prescribed safe interval for all time. Moreover, the transformed synchronization errors converge exponentially to zero, and the original agent outputs asymptotically synchronize to a designer-selected admissible trajectory embedded in the common safe interval. Numerical simulations validate the proposed framework and demonstrate safe consensus under both asymmetric actuation bounds and time-varying output constraints.
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