Novikova Y. Control of vibrations and model reduction for mechanical systems with elastic plates

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0416U001233

Thesis Registration Form

0416U001233.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

19-01-2016

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The dissertation is devoted to problems of the motion control and stabilization of a mechanical system consisting of a rigid body with thin elastic plate. A reduction scheme that allows transforming the equations of motion with partial derivatives to an infinite system of ordinary differential equations is proposed. Conditions for the spectral controllability of the mechanical system are obtained. The optimal control problem with a quadratic cost is solved. An estimate of the reachable set for the infinite-dimensional system is constructed. A theorem on the partial asymptotic stability of the equilibrium of the closed-loop system is proved. The Lyapunov stability of the equilibrium is proved for the considered nonlinear system.

Read more

Files

aref(Novikova).pdf

dis.pdf

Similar theses

0521U101804

Konstantinov Oleksandr V.

Nonlinear problems of dynamics and control of structures with fluid in the mode of forced oscillations and parametric interaction

0421U101334

Vasylieva Iryna Gennadiivna

Motion stabilization of mechanical control systems with random influence in critical cases

0419U001699

Nefedov Oleksandr O.

Theoretical analysis of pendulum suspension for improvement of seismic and vibration stability of reservoir with liquid.

0519U001054

Khoroshun Anatoliy Serhiyovych

The Lyapunov functions method in problems of stability control and stabilization of uncertain multiple time scale mechanical systems

0419U000385

Raynovskyy Ihor A.

An asymptotic modal Narimanov-Moiseev theory of the damped steady-state sloshing in an upright cylindrical tank