PROBLEMS OF DIFFERENTIAL AND TOPOLOGICAL DIAGNOSTICS. PART 1. MOTION EQUATIONS AND CLASSIFICATION OF MALFUNCTIONS



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Abstract

In the proposed cycle of work, we begin the study of the motion of an aircraft which is described bynonlinear ordinary differential equations. Based on these equations, the probable malfunctions in the motioncontrol 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 ofdiagnostic space is introduced, and the mathematical structure of this space is defined. Proposed work isthe first in the cycle, therefore, the classification of malfunctions is given. This activity is also a preparatorypart 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, anddiagnostic problem, that is the recognition problem of malfunction specification. This activity is just anillustration of the proposed approach.

About the authors

M. V. Shamolin

Lomonosov Moscow State University

Author for correspondence.
Email: morenov@ssau.ru
ORCID iD: 0000-0002-9534-0213

Doctor of Physical and Mathematical Sciences, full professor, leading researcher of the Institute of Mechanics, academic of the Russian Academy of Natural Sciences

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