Multicriterial Optimal Control of Dynamic Multiconnected System

Abstract

Linear dynamic system consisted of interconnected subsystems is considered. The quality of behavior of each subsystem is characterized by quadratic integral criterion. The problem of multicriterial optimal control synthesis in such systems is formulated and solved in the paper. The solution is obtained on the base of principle of proportional damages, which ensures the following properties

• the control law is obtained in linear form as in monocriterlon optimization problem;

• the solution is invariant to the sort of metrics which characterized the distance between vector — criteria’s current value and it’s ideal one;

• optimal values of criteria of quality have relative losses to be inversely proportional to the coefficient of mutual importance comparative to their ideal values.

The numerical example was considered:

• The keywords. Multicriterial control, dynamic system, optimality, Riccatl equation, the principle of proportional damages.