This chapter addresses the problem of sliding mode control (SMC) in fractional-order complex networked systems (FO-CNS) under stochastic network attacks by designing a nonfragile observer frame. The proposed approach utilizes a combination of event-triggered techniques. First, a nonfragile fractional-order state observer is developed, enabling the design of a fractional-order integral sliding surface function. Next, a combination event-triggered condition (CETC) is introduced, utilizing estimated observer errors and sliding mode error vectors. By solving linear matrix inequalities (LMIs), several sufficient conditions are obtained to guarantee the stability of the closed-loop systems. Additionally, an improved self-triggered condition is designed to prevent Zeno behavior. This condition relies on a predefined event-triggered mechanism. The Gronwall–Bellman inequality is employed to determine a positive lower bound of the trigger sequence, ensuring the avoidance of infinite triggering within a finite time interval. Finally, two numerical simulations are presented to demonstrate the effectiveness and feasibility of the proposed method.
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