Problems of choosing optimization method for next-generation aviation radio control systems

Analysis of the trends of military-technical confrontation in the aerospace sector allows us to identify a number of areas that directly affect the information and control side of the operation of aviation radio control systems, including: group use of means of attack and defence; the qualitative complexity of the laws of the mutual spatial placement of the aircraft; high dynamics, nonstationarity of environment; use of control modes and information support on the verge of buckling, which is characteristic of super-maneuverable aircraft and intensively maneuvering targets tracking systems; the discrepancy of the dynamic properties of airborne targets and interceptors; growing complexity of information support algorithms.
Mathematical apparatus used for synthesis of aircraft control systems must provide: effective guidance on targets maneuvering under complex laws, including the change of signs of derivatives; guaranteed withdrawal from the boundaries of stable (dangerous) work, including collision prevention in groups; accounting for the discrepancy between the dynamic properties; redistribution of control priorities in the guidance process; universality of the formation of guidance methods and feasibility of information support algorithms.
Analysis of the possibilities of classical optimization methods based on minimization of quadratic quality functionals showed that they are not able to meet the totality of these requirements and thus new approaches are required.
As such, it is proposed to use the synthesis of control signals that are optimal for a minimum of quadratic-biquadrate quality functional.
The application of this approach in the framework of computationally efficient local optimization is considered.
An example of the synthesis of a method of guidance, illustrating the possibility of the formation of control signals, providing guidance of inertial aircraft to intensively maneuvering targets accounting for both linear and nonlinear dependences on the operation errors and the mismatch of the dynamic characteristics of the target and interceptor.