Multi criteria optimization in multi connected systems of automatic control

Linear systems of automatic control with interconnected subsystems are considered. The behavior of each subsystem is characterized by a quadratic integral criterion. The problem of multicriteria optimization in such systems is formulated and solved. The solution is obtained on the basis of the principle of proportional damages, which ensures the following properties: the control of law is synthesized in a linear form as in the mono criterion optimization problem; the solution is invariant to the view of metrics which characterized the distance between the vector criteria current value and the ideal one; and optimal values of criteria of quality have relative losses that are inversely proportional to the weight coefficients. A numerical example is given.