Stochastic H2/H∞$$ {H}_2/{H}_{\infty } $$ Control for Discrete‐Time Multi‐Agent Systems with State and Disturbance‐Dependent Noises
ABSTRACT This article studies the centralized control for discrete‐time multi‐agent systems (MASs) with state and disturbance‐dependent noises. First, we transform the centralized control problem into solving four generalized algebraic Riccati equations (GAREs). Next, due to the fact that the discrete‐time GAREs of MASs have the coupling terms, which causes that the existence of the corresponding solution cannot be guaranteed, a linear matrix inequality (LMI) framework is developed to tackle this challenge and reduce computational complexity. Finally, simulation examples are provided to demonstrate the effectiveness of the proposed algorithm.
Authors
- Xiushan Jiang (ORCID: https://orcid.org/0000-0002-3538-5057)
- Weihai Zhang (ORCID: https://orcid.org/0000-0001-7470-077X)
- Dong Wang (ORCID: https://orcid.org/0000-0001-6243-8284)
- Tianliang Zhang (ORCID: https://orcid.org/0000-0002-6937-7418)
- Yanyi Xin (ORCID: https://orcid.org/0009-0006-4556-6384)
Institutions
- China University of Petroleum, East China (CN)
- Qingdao University of Technology (CN)
- Shandong University of Science and Technology (CN)
Publication Details
- Journal
- International Journal of Robust and Nonlinear Control
- Published
- 2025-09-04
- DOI
- https://doi.org/10.1002/rnc.70176
- Citations
- 1
- Primary Topic
- Adaptive Dynamic Programming Control
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Shandong Province
- Taishan Scholar Foundation of Shandong Province