Topologically protected interface states (ISs) exhibit inherent robustness, maintaining stable wave propagation under local perturbations. While this robustness guarantees stability, it also poses challenges for active control. Here, we propose a design strategy that integrates global configuration tuning with local interface reconfiguration to manipulate ISs and higher-order topological corner states (HOTCSs) in two-dimensional (2D) acoustic metamaterials. Global modulation reconfigures the entire structure to adjust interface bandwidths and control the presence of HOTCSs. In contrast, localized reconfiguration modifies only the interface region while preserving the global structure, enabling precise tuning of interface-state frequencies and selective excitation or suppression of corner states (CSs). Incorporating localized modulation regions into finite structures establishes a versatile framework for wave control, including arbitrary output positioning and asymmetric transmission at fixed frequencies under opposite excitations. Finite-element simulations (FES) validate the effectiveness of this approach, demonstrating its potential for highly flexible wave manipulation in topological acoustic systems. These results establish a general design framework for tunable and reconfigurable acoustic systems with controllable ISs and CSs.
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