Pole-free GMVC and LQR designs for nonsquare LTI MIMO systems

Author

Hunek, Wojciech P. ; Stanislawski, Rafal ; Latawiec, Krzysztof J. ; Lukaniszyn, Marian

Author_Institution

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

fYear

2011

fDate

22-25 Aug. 2011

Firstpage

95

Lastpage

99

Abstract

This paper presents (structurally stable) pole-free control designs for (a deterministic version of) generalized minimum variance control and linear quadratic regulation for nonsquare LTI MIMO systems. For both discrete-time control strategies, two alternative approaches are offered, the numerical one related with limiting control solutions as control weighting matrices tend to the zero ones and the other produced by analytically-derived perfect controls, for which it is possible to put the weighting matrices directly to the zero ones. In the latter case, the solutions are identical with that for minimum variance control, in which case the pole-free designs must account for the so-called control zeros, being the extension of transmission zeros for nonsquare LTI MIMO systems. Simulation examples illustrate the theoretical achievements of the paper.

Keywords

MIMO systems; control system synthesis; discrete time systems; linear quadratic control; matrix algebra; poles and zeros; LQR design; control weighting matrix; control zeros; discrete-time control strategy; generalized minimum variance control; linear quadratic regulation; nonsquare linear time-invariant MIMO system; pole-free control design; structural stability; transmission zeros; Control design; Filtering theory; MIMO; Poles and zeros; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Methods and Models in Automation and Robotics (MMAR), 2011 16th International Conference on

Conference_Location

Miedzyzdroje

Print_ISBN

978-1-4577-0912-8

Type

conf

DOI

10.1109/MMAR.2011.6031324

Filename

6031324