Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Decompositional Method of Modal Synthesis at Controlling a MIMO-system with Feedback by State Derivatives

Author(s):

Nikolay Evgenievich Zubov

Doctor of Technical Sciences, Professor,
Professor of Department of Automatic Control Systems, Dean of Rocket and Space Techniques Faculty
at Bauman Moscow State Technical University (Bauman MSTU)

Nik.Zubov@gmail.com

Vladimir Nikolaevich Ryabchenko

Doctor of Technical Sciences, Associate Professor,
Professor of Department of Automatic Control Systems at Bauman MSTU

RyabchenkoVN@yandex.ru

Alexey Vladimirovich Lapin

Candidate of Technical Sciences,
Associate Professor of Department of Automatic Control Systems at Bauman MSTU

AlexeyPoeme@yandex.ru

Abstract:

In this article a method of pole placement in a deterministic linear dynamic MIMO-system at controlling with feedback by state derivatives is developed. The method is based on the special decomposition of the original system by means of matrix zero divisors. The method is applicable for both continuous and discrete cases of describing a MIMO-system, has no restrictions on the dimensions of state vector and input vector of the MIMO-system, algebraic and geometric multiplicity of specified poles, provides the possibility of analytical synthesis of controllers.

Keywords

• continuous and discrete systems
• decompositional method
• modal control by state derivatives
• pole placement
• stability of a system

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