Stochastic H2/H∞$$ {H}_2/{H}_{\infty } $$ Control for Discrete‐Time Multi‐Agent Systems with State and Disturbance‐Dependent Noises

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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.

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