Optimal Output Agreement for T-S Fuzzy Multi-agent Systems: An Adaptive Distributed Approach

This paper studies the distributed optimal output agreement problem of T-S fuzzy multi-agent systems under a weight-balanced and quasi-strongly connected graph. Consider a given global convex objective function, the objective of this paper is to steer the outputs of T-S fuzzy multi-agent systems to the optimal solution of this global objective function by the partial information of the local objective functions. To achieve the objective, a novel T-S fuzzy adaptive distributed optimal algorithm is proposed to guarantee that outputs of all agents can follow the global optimal solution. Then, the stability of overall closed-loop system composed of T-S fuzzy multi-agent systems and T-S fuzzy adaptive distributed scheme is established. In order to achieve the output agreement and minimize the objective function simultaneously, a sufficient condition is obtained. Finally, a numerical example is employed to demonstrate the effectiveness and superiority of the theoretical results.