Projection onto the Set of Rank-Constrained Structured Matrices for Reduced-Order Controller Design

Autor:	Masaaki Nagahara, Yu Iwai, Noboru Sebe
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	reduced-order control rank constraint linear matrix inequality alternating projection convex optimization Industrial engineering. Management engineering T55.4-60.8 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Algorithms, Vol 15, Iss 9, p 322 (2022)
Druh dokumentu:	article
ISSN:	1999-4893
DOI:	10.3390/a15090322
Popis:	In this paper, we propose an efficient numerical computation method of reduced-order controller design for linear time-invariant systems. The design problem is described by linear matrix inequalities (LMIs) with a rank constraint on a structured matrix, due to which the problem is non-convex. Instead of the heuristic method that approximates the matrix rank by the nuclear norm, we propose a numerical projection onto the rank-constrained set based on the alternating direction method of multipliers (ADMM). Then the controller is obtained by alternating projection between the rank-constrained set and the LMI set. We show the effectiveness of the proposed method compared with existing heuristic methods, by using 95 benchmark models from the COMPLeib library.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3032165ddb774ff99b1da04e9ffb8679 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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