Dynamic event-triggered formation control for Takagi–Sugeno fuzzy multi-agent systems with mismatched membership functions

The dynamic event-triggered control scheme is employed in this work to explore the formation control problem of Takagi–Sugeno fuzzy multi-agent systems. The formation control problem is examined by employing a multi-agent system in the form of a Takagi–Sugeno fuzzy model. To reduce the frequency of control updates during the desired formation, a dynamic event-triggered controller is designed by introducing an internal dynamic variable. Initially, the error systems between the agents and the desired formation are introduced. A suitable Lyapunov-Krasovskii functional is then specifically designed for these error systems. By applying an improved delay-dependent reciprocally convex inequality, sufficient conditions for the stability of the error systems are obtained, which guarantee the desired formation of the selected multi-agent systems. In particular, these conditions are obtained in the form of linear matrix inequalities. Finally, a numerical illustration is provided to validate the feasibility of the theoretical outcomes. •This paper addresses the formation control problem for Takagi–Sugeno fuzzy multi-agent systems.•The fuzzy system and fuzzy controller under consideration employ different membership functions.•A dynamic event-triggered controller is proposed for Takagi–Sugeno fuzzy multi-agent systems to reduce the number of control updates.•The sufficient conditions for achieving the desired formation of the multi-agent systems are derived by employing the Lyapunov stability theory and an improved delay-dependent reciprocally convex inequality.