Distributed Optimal Steady-State Regulation for High-Order Multi-Agent Systems with External Disturbances
This work addresses the challenge of combining optimal steady-state regulation with disturbance rejection in multi-agent systems, which is important for applications like power grids and robotic networks.
The paper formulates and solves a distributed optimal steady-state regulation problem for heterogeneous linear multi-agent systems with external disturbances, using embedded control design to achieve disturbance rejection and optimal resource allocation. Numerical simulations verify the effectiveness of the proposed state-feedback and output feedback controls.
In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multi-agent systems subject to external disturbances. We aim to steer this high-order multi-agent network to a prescribed steady-state determined as the optimal solution of a resource allocation problem in a distributed way. To solve this problem, we employ an embedded control design and convert the formulated problem to two simpler subproblems. Then, both state-feedback and output feedback controls are presented under mild assumptions to solve this problem with disturbance rejection. Moreover, we extend these results to the case with only real-time gradient information by high-gain control techniques. Finally, numerical simulations verify their effectiveness.