Boundary control of discrete repetitive processes with smoothing: controllability, observability and disturbance attenuation

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Azevedo Perdicoulis, TP (Author) Other; Jank, G (Author) Other; P. Lopes dos Santos (Author) FEUP

Journal

Title: Multidimensional Systems and Signal Processing

Vol. 26 No. 4

Pages: 145-158

ISSN: 0923-6082

Publisher: Springer Nature

Indexing

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Other information

Authenticus ID: P-00A-5MV

DOI: 10.1007/s11045-013-0241-8

Abstract (EN): In this paper, we proffer an explicit representation of solutions for a specific class of linear repetitive processes with smoothing. This representation is used to obtain direct controllability and observability criteria of this same class of discrete time 2-D systems. Not only classical controllability properties are considered, where control of the system is obtained by choosing its inhomogeneity appropriately, but also controllability of the system by steering it through boundary data control. From the point of view of technical applications, for instance in high pressure gas network modelling (see Azevedo-PerdicoA(0)lis and Jank in Proceedings of n-DS, international workshop on multidimensional systems, Thessaloniki. 2009), it seems to be more reliable to consider boundary data controls. Therefore, in this paper we emphasise boundary data control properties of the system. A disturbed optimal boundary control problem with a quadratic criterion is also solved.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14