TY - JOUR AU - Duan, Mengmeng AU - Huang, Fengping AU - Zhu, Shanying AU - Yang, Ziwen AU - Chen, Cailian PY - 2025 TI - Distributed optimal formation control of heterogeneous Euler–Lagrange multi-agent systems JO - Journal of Automation and Intelligence SN - 2097-504X SP - 282 EP - 290 VL - 4 IS - 4 AB - In this paper, the distributed optimal formation control problem of heterogeneous Euler–Lagrange multi-agent systems with generic formation constraints and inequality constraints is investigated. Based on the primal–dual dynamics and the adaptive control technique, a distributed optimal formation controller consists of a velocity reference signal generator and a velocity tracking controller is proposed. By using the optimality condition, the relationship between the equilibrium point of the closed-loop system and the optimal solution of the optimization problem is established. Then, by utilizing Lyapunov stability analysis, it is rigorously proved that the optimal formation is reached with the proposed controller. Lastly, simulation examples are provided to substantiate the theoretical results. UR - https://doi.org/10.1016/j.jai.2025.03.007 DO - 10.1016/j.jai.2025.03.007