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

Feliks Tomasz

Zeszyty Naukowe. Elektryka / Politechnika Opolska

2019

z. 77

39--43

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.

An application of parameter/polynomial σ-inverse in minimum-energy perfect control law

Feliks Tomasz

Zeszyty Naukowe. Elektryka / Politechnika Opolska

2019

z. 77

45--48

In this paper the influence of application the parameter/polynomial σinverse into the minimum-energy perfect control design for LTI discrete-time state-space systems with different number of input and output variables is presented