Leader-to-Formation Stability of Multi-Agent Systems: An Adaptive Optimal Control Approach

Document Type

Article

Publication Date

1-30-2018

Publication Title

IEEE Transactions on Automatic Control

DOI

10.1109/TAC.2018.2799526

ISSN

1558-2523

Abstract

This note proposes a novel data-driven solution to the cooperative adaptive optimal control problem of leader-follower multi-agent systems under switching network topology. The dynamics of all the followers are unknown, and the leader is modeled by a perturbed exosystem. Through the combination of adaptive dynamic programming and internal model principle, an approximate optimal controller is iteratively learned online using real-time input-state data. Rigorous stability analysis shows that the system in closed-loop with the developed control policy is leader-to-formation stable, with guaranteed robustness to unmeasurable leader disturbance. Numerical results illustrate the effectiveness of the proposed data-driven algorithm.

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