Title :
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
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;
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
DOI :
10.1109/MMAR.2014.6957396
