Multi-Objective Optimization of Dynamic Systems and Problem of The Pareto Front Control

The problem of a multi-level search for compromise solutions in the problem of a multi-objective optimization of dynamic systems is formulated. A distinctive feature of a dynamic system is its parameters changing over time. This changing can be either deterministic or stochastic. It is demonstrated that the quality indicators exist not only for the main optimized dynamic system, but also for the corresponding set of compromise solutions that form the Pareto front. In the frame of the multi-objective optimization theory and practice with the respect to the Pareto-optimal variants estimation the problem of active joint participation of the system creators and (or) decision makers (DM) in the Pareto front management is formulated. It is noted, that such problem formulation differs from the traditional approach which is based on the analysis of the already existing solutions. The possibilities to influence on the Pareto front in the frame of the parametric synthesis of double loop flight control system are exhibited. The paired criteria in the class of the direct quality criteria as well as in the integral criteria class are examined. The Pareto ranks structure as well as their dependence on the regulator properties is defined. A flight vehicle specific physical parameters the change of which in the frame of the new system design allows to achieve the best effects on the overall improvement of the compromise solutions are specified. The analytical dependencies that allow to estimate the limits of the possible improvement of the quality criteria are observed.