This paper addresses the problem of synthesis of suboptimal robust controllers in the l₁ setting. For MIMO plants under coprime factor perturbations and bounded exogenous disturbance, the worst case norm of the system output is shown to be a linear fractional function of the induced norms of system’s transfer functions. In this case computing suboptimal controllers is reduced to approximate solution of finite family of standard l₁ optimization problems. The model validation and identification problems are also briefly discussed for systems with weighted perturbations.