<p>In this paper, we propose a scheme for generating bipartite entanglement between two-level coupled atomic systems in V-shaped plasmonic waveguides using Lyapunov control. Two types of control Hamiltonians are employed: a local Hamiltonian requiring individual modulation of control fields and a global Hamiltonian involving uniform modulation. Numerical simulations demonstrate that, in the absence of dissipation, maximal entanglement is achievable, with concurrence reaching unity. The robustness of the scheme is further analyzed in the presence of dissipation and perturbations. Compared to measurement-based feedback control, the proposed method proves more effective in generating the target entanglement. Moreover, the scheme eliminates the need for cumbersome measurement and feedback operations, as the control fields are pre-designed based on the simulation of system dynamics in a feedback form. Thus, the proposed approach may find promising applications in quantum entanglement generation.</p>