Containment control of interval type-2 fuzzy multi -agent systems with multiple intermittent packet dropouts and actuator failure

This paper studies the fuzzy containment control issue for a family of uncertain nonlinear multi-agent systems (MASs) subject to packet dropouts and actuator failure in the framework of interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy model. Different from traditional type-1 T-S fuzzy method, the membership functions considered in this paper are uncertain functions and they are depicted by lower and upper membership functions (LUMFs) and correlative tradeoff functions. The Bernoulli random distributions are introduced to describe the intermittent signals transmissions. Considering the abrasion of components or long-term working of actuators, a relevant failure model is established. After that, in the light of Lyapunov stability theory, sufficient criteria are obtained so that the followers’ states have the capability of converging to convex hull governed by the leaders’ states. Finally, illustrative example confirms the practicabilities of the proposed fuzzy containment control scheme. © 2020 The Franklin Institute