Relationship between T-, σ- and SVD-based H-inverse VS. minimum-norm solution

• Autorzy: Feliks Tomasz
• Języki publikacji: EN

Abstrakty

EN

This paper presents a connection between T-, σ- and SVD-based Hinverse in terms of minimum-norm solution to be obtained. It is indicated in the analytical manner that the nonunique H-inverse with zero-degrees of freedom and the unique T-inverse can be treated in parallel in context of received energybased norm defined in the L2 framework. Moreover, based on the norm the relation between σ- and SVD-based H-inverse, both with nonzero-degrees of freedom, is confirmed by a simple numerical example under perfect control design.

• Wydawca: Oficyna Wydawnicza Politechniki Opolskiej
• Czasopismo: Zeszyty Naukowe. Elektryka / Politechnika Opolska
• Rocznik: 2019
• Tom: z. 77
• Strony: 39--43
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Feliks Tomasz

• Faculty of Electrical Engineering, Automatic Control and Informatics Institute of Control Engineering

Bibliografia

• [1] HUNEK W.P., LATAWIEC K.J., STANISŁAWSKI R., ŁUKANISZYN M., DZIERWA P.: A new form of a σ-inverse for nonsquare polynomial matrices, in MMAR’2013, pp. 282–286, 2013
• [2] HUNEK W.P.: New SVD-based matrix H-inverse vs. minimum-energy perfect control design for state-space LTI MIMO systems, in Proceeding of the 20th IEEE International Conference on System Theory, Control and Computing (ICSTCC’16), Sinaia, Romania, pp. 14–19, 2016
• [3] HUNEK W.P., FELIKS T.: Further towards the analytical solution of minimumenergy perfect control design problem, MMAR’2018, Poland, pp. 643–647, 2018
• [4] HUNEK W.P., FELIKS T.: A geometric-based approach to the maximum-speed state and output variables for some class of IMC structures, in Proceedings of the 6th International Conference on Control, Decision and Information Technologies (CoDIT’19), Paris, France, 2019
• [5] BEN-ISRAEL A., GREVILLE T.N.E.: Generalized Inverses, Theory and Applications, 2nd ed. New York: Springer-Verlag, 2003

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).