<p>In this paper, we present a new control method for multi-soliton phenomena. The model is the Ablowitz–Ladik equation with complex time-dependent coefficients. This method allows for the independent control of each soliton within multi-soliton solutions, effectively overcoming the limitation that the motion of multi-solitons simultaneously depends on all linear and nonlinear factors. First, we establish a hierarchy of the Ablowitz–Ladik equation with complex time-dependent coefficients and derive its higher-order equation. By investigating the Hamiltonian structure of this hierarchy using the trace identity, the integrability of the equation hierarchy is verified. Then, we present their one-, two-, and three-soliton solutions and use asymptotic analysis to study the asymptotic behaviors of the two-soliton and three-soliton solutions. Through the analysis of their physical quantities from asymptotic behaviors, we can precisely control their propagation. Moreover, it can achieve the goal of independently controlling the motion of each soliton in multi-soliton solutions with the help of multiple coefficients in the equation, leading to diverse dynamical phenomena. Finally, combined with numerical simulations, we study the stability of these solutions and numerically verify the feasibility of these control methods. The research results of this paper are new in the Ablowitz–Ladik system, and provide novel insights into the soliton equations and diversified control of soliton motion.</p>