The generalized S- and σ-inverse – a comparative case study for right- and left-invertible plants

• Autorzy: Majewski P. , Hunek W. P.

Identyfikatory

DOI

10.24425/bpasts.2020.135399

• Języki publikacji: EN

Abstrakty

EN

In this paper, an advanced study covering the comparison between two classes of generalized inverses is conducted. Two sets of instances, strictly derived from the recently introduced nonunique S- and σ-inverse, are analyzed, especially in terms of degrees of freedom-oriented interchangeable application in different engineering tasks. Henceforth, the respective collections of right and left inverses can be combined in order to achieve a complex tool for robustification of a plethora of real processes. The great potential of two S- and σ-inverse, in particular in robust control and signal recovery as well as complex optimal tasks, is confirmed in the manuscript and supported by the recently carried out research investigations.

Słowa kluczowe

EN

nonunique right/left inverses; nonsquare polynomial matrices; inverse theory; robustification of processes; practical implementation

PL

macierze wielomianowe niekwadratowe; teoria odwrotna; ugruntowanie procesów; wdrożenie praktyczne

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2020
• Tom: Vol. 68, nr 6
• Strony: 1517--1523
• Opis fizyczny: Bibliogr. 24 poz., rys.

Twórcy

autor

Majewski P.

• Opole University of Technology, ul. Prószkowska 76, 45-758 Opole, Poland

autor

Hunek W. P.

• Opole University of Technology, ul. Prószkowska 76, 45-758 Opole, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).