Aviation radio control systems as complex technical systems. Part 2. Multicriteria optimization based on a local modification of the statistical theory of optimal control

Abstract

The analysis of the known modifications of the statistical theory of optimal control (STOC) in the application to the problem of multicriteria optimization of radio control (RC) systems showed that for its solution, a variant that takes into account the measured perturbations in the state model can be used as a basis. The physical meaning of this approach is that of all the alternatives, one is chosen, conditionally the main one, for which a state model is formed. The remaining participants in the general synthesis procedure are considered as a set of perturbations acting on this model. Accordingly, in the quality functional used, the terms that ensure the minimization of these perturbations should be taken into account in the form of an additional linear combination of quadratic forms. Management that minimizes such functionality, to one degree or another, will be jointly the best for the entire set of requirements. The choice of the local optimization option is based on the desire to avoid the need to solve a very computationally expensive twopoint boundary value problem, which is characteristic of the optimization procedures of systems for the entire time of operation, and to ensure invariance to the time of operation. The analysis of the obtained control law allows us to formulate the following conclusions. The control contains two terms, one of which implements the main purpose of the system, providing an approximation of the real state to the required one, and the second takes into account the influence of alternative requirements. The optimized system should include optimal filters that form estimates of the necessary state coordinates, and a controller that forms a control signal. The obtained result indicates that it is possible to optimize management within the framework of solving a multicriteria task (MCT) without solving a complex two-point boundary value problem. If necessary, you can choose another version of the main model with a different set of auxiliary tasks and the corresponding functionality as the main task, with a different control option. In the process of comparing the obtained control options, you can choose the best solution to the general optimization problem. Considered as an example, the law of controlling a group of three initially geographically separated and moving in different directions unmanned aerial vehicles used for radar monitoring of large areas of the earth (water) surface, which at the same time should provide the collection of the group, the required trajectory of its flight and the required topology of participants implementing a given control band, confirmed the possibility of solving the MCT based on STOC.