Kupriyanchyk L. Robust stability and stabilization of motion of mechanical systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0415U001686

Thesis Registration Form

0415U001686.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

31-03-2015

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

In the thesis, new methods for output feedback stabilization of linear control systems are obtained. Sufficient robust stability conditions of the zero state for a family of nonlinear continuous control systems, discrete time systems and Lagrange's systems with uncertain functional matrices are formulated. The joint quadratic Lyapunov function and evaluation of the quadratic performance criterion are performed for the same family of systems. New methodology for the robust stabilization with dynamic output feedback is developed. Numerically the developed methods are reduced to the systems of linear matrix inequalities which can be solved using MATLAB.

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