<p>This paper addresses the prescribed performance tracking control problem for a class of uncertain switched systems with impulsive coupling. In contrast to conventional impulsive models with independent impulsive disturbances, the considered system features interconnected impulsive effects, where the jumping phenomenon is influenced by the interactions among multiple states. This impulsively coupled network significantly complicates controller design and stability analysis. To precisely characterize the propagation intensity of such impulsive coupling, we introduce a novel definition called the coupled impulse propagation operator, which aggregates the cumulative state discrepancies along the cascade structure prior to each impulse instant. Based on this definition, an impulse-tolerant dynamic surface control (DSC) scheme is developed within the prescribed performance control (PPC) framework. By introducing first-order low-pass filters, the proposed method effectively avoids the explosion of complexity associated with conventional backstepping, without requiring analytic differentiation of virtual control signals. Moreover, a novel adaptive performance function is constructed to explicitly account for impulsive effects, control schemes, and filter-induced errors, ensuring that performance constraints are satisfied during both continuous evolution and impulsive instants. It is rigorously shown that all closed-loop signals are uniformly ultimately bounded, the transformed error remains strictly within the prescribed performance bounds, and on each inter-impulse interval the output tracking error converges to a predefined and arbitrarily small neighborhood of the origin within a user-specified fixed time. Numerical simulations are provided to demonstrate the effectiveness of the proposed approach.</p>