Abstract
In this paper, we focus on containment control problem for discrete-time multi-agent systems (MASs). More specifically, the MASs are nonlinear systems and they are modeled by discrete-time Takagi-Sugeno (T-S) fuzzy systems. A fuzzy control protocol with a nonlinear feedback control law in each control rule is introduced, which is based on the data collected from the local agent and its neighbors. By the aid of Lyapunov stability theory, the containment control for T-S fuzzy agent systems is shown to be feasible while a few matrix inequalities are solvable, furthermore, the controller design algorithm is also presented. Finally, in order to verify the effectiveness of the proposed new design, a simulation example is present.
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