Multi-Agent Motion Planning on Industrial Magnetic Levitation Platforms: A Hybrid ADMM-HOCBF approach

πŸ“… 2026-03-20
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πŸ€– AI Summary
This work addresses the computational intractability of centralized model predictive control (MPC) in large-scale multi-agent industrial maglev platforms by proposing a hybrid motion planning framework that integrates decentralized alternating direction method of multipliers (ADMM) with centralized high-order control barrier functions (HOCBFs). The approach leverages decentralized MPC for efficient trajectory optimization while enforcing rigorous safety guarantees through a centralized HOCBF-based verification layer. By innovatively combining distributed computation with centralized safety certification, the method achieves both real-time performance and enhanced scalability. Experimental results from a C++ implementation demonstrate that, compared to conventional centralized MPC, the proposed strategy consistently delivers superior scalability, safety assurance, and real-time execution in both simulated and physical maglev platform environments.

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πŸ“ Abstract
This paper presents a novel hybrid motion planning method for holonomic multi-agent systems. The proposed decentralised model predictive control (MPC) framework tackles the intractability of classical centralised MPC for a growing number of agents while providing safety guarantees. This is achieved by combining a decentralised version of the alternating direction method of multipliers (ADMM) with a centralised high-order control barrier function (HOCBF) architecture. Simulation results show significant improvement in scalability over classical centralised MPC. We validate the efficacy and real-time capability of the proposed method by developing a highly efficient C++ implementation and deploying the resulting trajectories on a real industrial magnetic levitation platform.
Problem

Research questions and friction points this paper is trying to address.

multi-agent motion planning
scalability
safety guarantees
industrial magnetic levitation
centralised MPC
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hybrid ADMM-HOCBF
Decentralized MPC
Multi-Agent Motion Planning
Scalability
Safety Guarantees
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