In the paper the new aspect of the application of the formalism of Linear – Square (LS) optimization is discussed, that is the approximate correction of the controlled systems. The suggested schemes of the correction include endogen (inner) standard model of desired dynamics of the corrected system. The correction problem is solved by means of formalism of LS problems where the optimized integral square functionals are used for degree of the deviation of the transition characteristics of formed regulation channels from standard values. It is important to emphasize that the methodology of approximate correction on the base of formalism of LS optimization being developed by the authors shows the possibility of convergence of classical conception of the direct quality exponents of the regulation processes and the methodology of analytical construction of optimal regulators.