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arXiv 2607.02192eess.SYcs.SY
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参考调控的分布式安全梯度流用于多智能体系统的安全最优输出一致性

Reference-Governed Distributed Safe Gradient Flow for Safe Optimal Output Agreement of Multi-Agent Systems

Shanghai Jiao Tong University(上海交通大学);Massachusetts Institute of Technology(麻省理工学院)

Zhanglin Shangguan, Wei Xiao, Bo Yang, Xinping Guan

AI总结:

提出参考调控双层架构,上层通过一阶控制屏障函数约束梯度流,下层基于内模输出调节器构建动态安全裕度,实现非线性多智能体系统的安全最优输出一致性,避免高阶控制屏障函数的调参敏感和稳态偏移问题。

摘要:

本文研究了具有输出安全约束的非线性多智能体系统的安全最优输出一致性。现有的安全反馈优化方法通常通过被控对象输入直接实现梯度流动力学,这可能需要高阶控制屏障函数(HOCBFs)。由此产生的导数链设计对调参敏感,并可能引入额外的平衡条件,改变稳态最优解。我们提出了一种参考调控的双层架构,将下层输出调节与上层分布式优化分离。上层通过一阶控制屏障函数约束参考梯度流,这更易于调参并保留原始一致性问题的稳态最优结构。下层使用基于内模的输出调节器,结合依赖于参考的Lyapunov函数,从中构建动态安全裕度(DSMs)以证明瞬态输出安全性。我们证明了前向不变性、DSM兼容条件下的最优解保持性,并通过Lyapunov小增益论证证明了收敛性。仿真验证了安全收敛性,展示了相对于基于HOCBF的反馈优化的优势,并演示了用于逃离非凸障碍物引起的伪平衡的自适应切向目标整形。

英文摘要:

This paper studies safe optimal output agreement for nonlinear multi-agent systems with output safety constraints. Existing safe feedback optimization methods often implement gradient-flow dynamics directly through the plant input, which may require high-order control barrier functions (HOCBFs). The resulting derivative-chain design is tuning-sensitive and can introduce additional equilibrium conditions that alter the steady-state optimal solution. We propose a reference-governed two-layer architecture that separates lower-layer output regulation from upper-layer distributed optimization. The upper layer filters the reference gradient flow through first-order control barrier function constraints, which are easier to tune and preserve the steady-state optimality structure of the original agreement problem. The lower layer uses an internal-model-based output regulator with a reference-dependent Lyapunov function, from which dynamic safety margins (DSMs) are constructed to certify transient output safety. We prove forward invariance, optimal-solution preservation under DSM-compatibility conditions, and convergence via a Lyapunov small-gain argument. Simulations validate safe convergence, show advantages over HOCBF-based feedback optimization, and demonstrate adaptive tangential objective shaping for escaping spurious equilibria induced by nonconvex obstacles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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