Distributed Optimal Steady-State Regulation for High-Order Multiagent Systems With External Disturbances

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 50; no. 11; pp. 4828 - 4835
• Main Author: Tang, Yutao
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.11.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Cost function; Disturbance rejection; Disturbances; embedded control; Heuristic algorithms; high-order dynamics; Linear systems; Multi-agent systems; Multiagent systems; optimal steady-state regulation; Output feedback; Resource allocation; Resource management; Silicon; State regulation; Steady state
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2018.2866902

In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multiagent systems subject to external disturbances. We aim to steer this high-order multiagent 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, the numerical simulations verify their effectiveness.