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
AbstractThe 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.
|Publication size in sheets||0.5|
|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 English||dynamical system, modal control, regulators, D - stability, Luenberger observers, linear matrix inequalities, Kronecker product of matrices|
|Score||= 20.0, 10-01-2020, MonographChapterAuthor|
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