Shcherbak V. Development of methods for control of mechanical systems with the use of invariant relations

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0513U001278

Thesis Registration Form

0513U001278.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

11-12-2013

Specialized Academic Board

Д 11.193.01

Essay

A new method - the synthesis of invariant relations is proposed. Such relations are considered in observation and identification problems as additional equations for unknown components of the mathematical model (state vector, parameters). The scheme of invariant relations is used for synchronization problems, as well as for the stabilization. The method of invariant relations is developed for inverse control systems. The inverse system with respect to several trajectories is proposed. Problems of vibration damping for models of mechanical systems - a chain of coupled rigid bodies and hybrid system consisting of a rigid carrier with attached elastic rods are solved.

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