<p>This study focuses on the stabilization of a reduced-order model derived from the two-dimensional (2D) Kolmogorov flow, a benchmark problem in fluid dynamics governed by the incompressible Navier–Stokes (N-S) equations with periodic boundary conditions and sinusoidal forcing. A spectral Fourier–Galerkin projection is used to obtain a nine-mode dynamical system that captures the essential features of the underlying flow across a broad range of Reynolds numbers. Building on this model, the main contribution of this work lies in the design and analysis of both static and dynamic sliding-mode control (SMC) strategies. The proposed control laws are formulated to guide the system toward desired dynamical states, including periodic orbits and fixed points, despite the nonlinearities of the model. In each control strategy, two cases are examined: one in which the Reynolds number is known and another in which it is unknown. In the latter case, adaptive controllers are used. Numerical simulations are performed to assess the effectiveness of the proposed control designs under various scenarios. The simulation results demonstrate the efficacy of the sliding mode techniques in suppressing instabilities and enforcing desired flow patterns within the reduced-order setting. Moreover, the simulation results show that the dynamic sliding mode control scheme outperforms the static scheme, as it significantly reduces the chattering phenomenon.</p>