An event-triggered sliding mode control mechanism to exponential consensus of fractional-order descriptor nonlinear multi-agent systems

This chapter addresses the problem of leader-following exponential consensus in fractional-order descriptor nonlinear multi-agent systems through the design of an event-triggered sliding mode control strategy. Exponential consensus is achieved by defining an appropriate sliding surface and a controller, ensuring Mittag-Leffler stability for fractional-order systems. Due to the inherent memory property of the fractional-order calculus operator, a novel condition is established to prevent the occurrence of Zeno behavior, distinguishing this approach from existing event-triggered schemes. This new condition is crucial for maintaining practical implementability and system reliability. To demonstrate the effectiveness and feasibility of the proposed method, two illustrative examples are provided, showcasing the robustness and applicability of the strategy in achieving desired consensus among agents. These examples highlight the practical implications and advantages of the developed control approach in handling complex dynamics in multi-agent systems.