Using Linear Matrix Inequalities for Synthesis of Modal Control of Multidimensional Linear Systems

Igor Korobiichuk , Oleksey Lobok , Boris Goncharenko , Natalya Savitskaya , Marina Sych , Larisa Vihrova

Abstract

The constructive solution of the synthesis problem D - stabilizing (modal) regulators according to the measured output of the control object, based on the construction of observers of the state of the object of the complete and reduced order, is given. The solution is based on the use of the theory of linear matrix inequalities (LMI). For numerical simulation of the resulting modal regulators you can use effective methods of convex optimization and corresponding software that is included in a number of application packages, in particular, in the MatLab system. In this paper we describe methods for solving not only the direct problem of modal control, but also other problems of modal control, in which the requirement the exact placement of the roots in the left integrated half-plane is not superimposed, but only their membership in certain specified areas is required. Such areas, described by a system of linear matrix inequalities LMI, are called LMI domains.
Author Igor Korobiichuk (FM / IACR)
Igor Korobiichuk,,
- The Institute of Automatic Control and Robotics
, Oleksey Lobok - National University of Food Technologies Kiev Ukraine [National University of Food Technologies of Ukraine]
Oleksey Lobok,,
-
-
, Boris Goncharenko - National University of Food Technologies Kiev Ukraine [National University of Food Technologies of Ukraine]
Boris Goncharenko,,
-
-
, Natalya Savitskaya - National University of Food Technologies Kiev Ukraine [National University of Food Technologies of Ukraine]
Natalya Savitskaya,,
-
-
, Marina Sych - National University of Life and Environmental Sciences of Ukraine Kiev Ukraine [National University of Life and Environmental Sciences of Ukraine]
Marina Sych,,
-
-
, Larisa Vihrova - Central Ukrainian National Technical University Kropyvnytskyi Ukraine [Central Ukrainian National Technical University]
Larisa Vihrova,,
-
-
Pages19-28
Publication size in sheets0.5
Book Szewczyk Roman, Krejsa Jiří, Nowicki Michał, Ostaszewska-Liżewska Anna (eds.): Mechatronics 2019: Recent Advances Towards Industry 4.0, Advances in Intelligent Systems and Computing, vol. 1044, 2020, Springer, ISBN 978-3-030-29992-7, [978-3-030-29993-4], 515 p., DOI:10.1007/978-3-030-29993-4
Keywords in Englishdynamical system, modal control, regulators, D - stability, Luenberger observers, linear matrix inequalities, Kronecker product of matrices
DOIDOI:10.1007/978-3-030-29993-4_3
URL https://link.springer.com/chapter/10.1007/978-3-030-29993-4_3
Languageen angielski
Score (nominal)20
Score sourcepublisherList
ScoreMinisterial score = 20.0, 10-01-2020, MonographChapterAuthor
Publication indicators Scopus Citations = 0
Citation count*
Cite
Share Share

Get link to the record


* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Back
Confirmation
Are you sure?