Distance-Based Multiagent Formation Control With Energy Constraints Using SDRE

We present an optimal control method for distance-based formation control of multiagent systems with energy constraints. We combine the rigid graph theory and state-dependent Riccati equation method to develop a multiagent formation control scheme. We defined a normalized rigidity matrix and use it for the rigorous stability analysis. The proposed method asymptotically minimizes weighted cost functional that includes formation and energy consumption costs. Furthermore, we propose a solution for the global asymptotic stability and collision avoidance. Simulation results illustrate the effectiveness of the proposed method in two- and three-dimensional spaces.