Game-Theoretic Mixed $H_{2}/H_{\infty}$ Control with Sparsity Constraint for Multi-Agent Control Systems
2023 62nd IEEE Conference on Decision and Control (CDC)(2023)
摘要
A mixed
$H_{2}/H_{\infty}$
control problem under a sparsity constraint is investigated for multi-agent control systems (MAS) to provide robustness against model uncertainty and to reduce the communication cost. First, proximal alternating linearized minimization (PALM) is employed to develop a centralized social optimization algorithm, which is guaranteed to converge to a globally optimal sparse controller. Next, we investigate a noncooperative game that accommodates different control performance criteria of the agents and propose a best-response dynamics algorithm based on PALM. A special case of this game produces a partially distributed social optimization solution. We validate the proposed algorithms using a network with open-loop-unstable nodes and demonstrate superiority of the PALM-based method to a previously investigated sparsity-constrained mixed
$H_{2}/H_{\infty}$
controller.
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