Using Linear Matrix Inequalities for Synthesis of Modal Control of Multidimensional Linear Systems
Authors:
- 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.
- Record ID
- WUTda3ebd1b1528488dbb334eb6a627ced7
- Author
- Pages
- 19-28
- Publication size in sheets
- 0.50
- Book
- Szewczyk Roman*, Roman Szewczyk Krejsa Jiří, Jiří Krejsa Nowicki Michał Michał Nowicki [et al.] (eds.): Mechatronics 2019: Recent Advances Towards Industry 4.0, Advances in Intelligent Systems and Computing, vol. 1044, 2020, Springer, 515 p., ISBN 978-3-030-29992-7. DOI:10.1007/978-3-030-29993-4 Opening in a new tab
- Keywords in English
- dynamical system, modal control, regulators, D - stability, Luenberger observers, linear matrix inequalities, Kronecker product of matrices
- DOI
- DOI:10.1007/978-3-030-29993-4_3 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007/978-3-030-29993-4_3 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 20
- Score source
- publisherList
- Score
- = 20.0, 05-05-2022, ChapterFromConference
- Publication indicators
- = 1
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- Uniform Resource Identifier
- https://repo.pw.edu.pl/info/article/WUTda3ebd1b1528488dbb334eb6a627ced7/
- URN
urn:pw-repo:WUTda3ebd1b1528488dbb334eb6a627ced7
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.