Consensus of Multi-Agent Systems With Nonholonomic Restrictions via Lyapunov’s Direct Method
Mohamed Adlene Maghenem, Abraham Bautista, Emmanuel Nuño, Antonio Lorı́a, Elena Panteley · IEEE Control Systems Letters · 2018
This letter presents a smooth time-varying$\delta $-persistently exciting controller for full consensus of autonomous nonholonomic vehicles modeled as unicycles. This consists in the robots assuming a common prescribed Cartesian position relative to an unknown barycentre and an unknown common orientation. More significantly, for the first time in the literature, a strict Lyapunov function is provided and uniform global asymptotic stability for the closed-loop system is established. This is well beyond weaker convergence properties that are more commonly guaranteed in the literature.