Safety-Critical Formation Control of Non-Holonomic Multi-Robot Systems in Communication-Limited Environments (2406.13707v2)

Abstract: This paper presents a novel estimator-based safety-critical controller for formation control of non-holonomic mobile robots in communication-limited environments. The proposed decentralized framework integrates a robust state estimator with a formation tracking control law, addressing the challenges of inter-agent collision avoidance and disturbance attenuation in leader-follower formations using control barrier functions. The estimator's design accounts for both constant and time-varying velocity profiles, enhancing the system's adaptability to dynamic scenarios. A closed-form solution for the tracking controller facilitates efficient implementation while maintaining formation integrity. The incorporation of string stability metrics further reinforces the framework's resilience against propagating disturbances from predecessors. Rigorous stability analysis using Lyapunov functions ensures the stability of estimation errors and the convergence of the formation to desired configurations. The effectiveness and robustness of the proposed approach are validated through numerical simulations of various maneuvers and realistic Gazebo experiments involving formations in a warehouse environment. The results demonstrate the controller's ability to maintain safety, achieve precise formation control, and mitigate disturbances in scenarios without inter-robot communication.