Practical Group Consensus of T-S Fuzzy Positive Multiagent Systems Using Compensative Control

Abstract

This article investigates the practical group consensus of type-1 and type-2 T-S fuzzy positive multiagent systems (MASs). First, a positive disturbance observer and a distributed positive compensator are proposed. A group consensus protocol is designed by integrating event-triggered mechanism, which utilizes the state information of the compensator. Some feasible conditions are addressed for practical group positive consensus in the form of linear programming (LP). The key novelties are threefold: 1) a novel positive disturbance observer and compensator framework is constructed; 2) a fuzzy positive group consensus protocol is established; and 3) LP is employed for describing the corresponding conditions. Finally, two examples are provided to verify the effectiveness of the theory findings.