An application of a new matrix inverse in stabilizing state-space perfect control of nonsquare LTI MIMO systems

Author

Hunek, Wojciech P. ; Latawiec, Krzysztof J. ; Majewski, Pawel ; Dzierwa, Piotr

Author_Institution

Dept. of Electr., Control & Comput. Eng., Opole Univ. of Technol., Opole, Poland

fYear

2014

fDate

2-5 Sept. 2014

Firstpage

451

Lastpage

455

Abstract

In this paper, a new definition of a right inverse of nonsquare parameter matrices is derived from MVC-related inverses of nonsquare polynomial matrices. The new definition is employed in a stabilizing state-space perfect control law for nonsquare LTI MIMO systems. A simulation example shows that the new inverse outperforms the classical minimum-norm right inverse.

Keywords

MIMO systems; matrix algebra; polynomials; stability; state-space methods; linear time-invariant systems; minimum-norm right inverse; multiple-input multiple-output systems; nonsquare LTI MIMO systems; nonsquare parameter matrix; nonsquare polynomial matrix; stabilization; state-space perfect control law; Conferences; Control systems; Educational institutions; MIMO; Polynomials; Process control; Signal processing; inverses of nonsquare matrices; nonsquare systems; perfect control; state-space approach;

fLanguage

English

Publisher

ieee

Conference_Titel

Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On

Conference_Location

Miedzyzdroje

Print_ISBN

978-1-4799-5082-9

Type

conf

DOI

10.1109/MMAR.2014.6957396

Filename

6957396