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On stabilisability of 2-D MIMO shift-invariant systems

SYSNO ASEP	0398772
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	On stabilisability of 2-D MIMO shift-invariant systems
Author(s)	Augusta, Petr (UTIA-B)_RID Augustová, Petra (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	Journal of the Franklin Institute-Engineering and Applied Mathematics. - : Elsevier - ISSN 0016-0032 Roč. 350, č. 10 (2013), s. 2949-2966
Number of pages	18 s.
Publication form	Online - E
Language	eng - English
Country	GB - United Kingdom
Keywords	spatially invariant system ; stabilisation ; multiple-input-multiple-output system, ; positive polynomial
Subject RIV	BC - Control Systems Theory
R&D Projects	GPP103/12/P494 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000327909800008
EID SCOPUS	84887321339
DOI	10.1016/j.jfranklin.2013.05.021
Annotation	We concentrate on the linear spatially distributed time-invariant two-dimensional systems with multiple inputs and multiple outputs and with control action based on an array of sensors and actuators connected to the system. The system is described by the bivariate matrix polynomial fraction. Stabilisation of such systems is based on the relationship between stability of a bivariate polynomial and positiveness of a related polynomial matrix on the unit circle. Such matrices are not linear in the controller parameters, however, in simple cases, a linearising factorisation exists. It allows to describe the control design in the form of a linear matrix inequality. In more complicated cases, linear sufficient conditions are given. This concept is applied to a system with multiple outputs—a heat conduction in a long thin metal rod equipped with an array of temperature sensors and heaters, where heaters are placed in larger distances than sensors.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2014

Number of the records: 1