Monocytes (M) and macrophages (Mφ) cells aremononuclear essential components of the innate immunesystem response. (M) and (Mφ) are mononuclear phagocytesthat have crucial distinct roles in tissue homeostasisand immunity. (M) are key players during inflammationand pathogen challenge also are precursor of (Mφ), whereas tissue resident (Mφ) have important functions indevelopment, tissue homeostasis and the resolution of inflammation. They comprise what was just recently recognizedas a heterogeneous family of professional phagocyticcells responsible for the recognition and clearance ofpathogens and dead cells. Optimal Control equations forthe state x1(t) with tracking in the state x2(t) has beenapplied to two dimensional system of differential not homogeneousequations presented in [15], [7]. This systemrepresents the behavior of (M) and (Mφ) into the bloodflow. Special form of matrices H and Q in the cost criterionfunction J is given for obtain the convergence of the statevariables ((M) and (Mφ) to optimal asymptotic values(health state) when the production rate λ is modified.