Scientific and technical journal

«Automation and Informatization of the fuel and energy complex»

ISSN 0132-2222

TWO METHODS FOR SOLVING THE POLE PLACEMENT PROBLEM FOR A LINEAR CONTROL SYSTEM

UDC: 681.5:622.276+622.279
DOI: 10.33285/0132-2222-2021-8(577)-54-57

Authors:

OSETINSKIY NIKOLAY IOSIFOVICH 1

1 National University of Oil and Gas "Gubkin University", Moscow, Russian Federation

Keywords: linear control system, feedback, Complete reachability, canonical form, matrix spectrum

Annotation:

The class of linear dynamic control systems is a suitable mathematical scheme widely used for modeling real objects of the oil and gas industry. The paper considers an algorithm for solving the so-called pole placement problem for a multidimensional linear control dynamic system, based on the results of M. Wanham. In addition, one result is formulated that guarantees the solution of the pole placement problem proposed by the American mathematicians R. Hermann and K. Martin. Their method is based on some facts of algebraic geometry and, despite the non-constructiveness, seems to be very promising.

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