1. Distributed H ∞ Robust Control of Multiagent Systems With Uncertain Parameters: Performance-Region-Based Approach.
- Author
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Wang, Jingyao, Wen, Guanghui, Duan, Zhisheng, Hu, Yifan, and He, Wangli
- Subjects
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ROBUST control , *MULTIAGENT systems , *UNCERTAIN systems , *LINEAR systems , *COMPUTER simulation , *DISTRIBUTED algorithms , *ADAPTIVE control systems - Abstract
This article deals with the distributed $\mathcal {H}_{\infty }$ robust control problem for linear multiagent systems perturbed by external disturbances and norm-bounded uncertain parameters over the Markovian randomly switching communication topologies. To tackle this problem, the distributed observer-based controller is proposed, which requires the relative information between neighbors and the absolute information of a subset of the nodes, and thus is intrinsically distributed. It is of great interest to see that the distributed $\mathcal {H}_{\infty }$ robust control problem governed by such a controller can be converted to the stabilization with $\mathcal {H}_{\infty }$ disturbance attenuation problems of some decoupled linear systems, whose dimensions equal those of a single node. Then, the $\mathcal {H}_{\infty }$ stochastic robust performance region is defined to indicate the robustness of this controller against the variation of communication topologies. It is theoretically shown that the distributed observer-based controller yields bounded and connected robust performance region. Finally, the theoretical results are verified by conducting numerical simulations and experiments. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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