Problems of differential and topological diagnostics. Part 1. Motion equations and classification of malfunctions

In the proposed cycle of work, we begin the study of the motion of an aircraft which is described by nonlinear ordinary differential equations. Based on these equations, the probable malfunctions in the motion control system are classified, the concepts of reference malfunctions and their neighborhoods are introduced, the mathematical modeling of these malfunctions and their neighborhoods is carried out, the concept of diagnostic space is introduced, and the mathematical structure of this space is defined. Proposed work is the first in the cycle, therefore, the classification of malfunctions is given. This activity is also a preparatory part of the diagnostic problem, which can be represented in the form of two successively solved problems, i.e., control problem, that is the problem of determining the presence of a malfunction in the system, and diagnostic problem, that is the recognition problem of malfunction specification. This activity is just an illustration of the proposed approach.