Vol.4, No 17, 2005 pp. 257-263
UDC 62-55:519.612(045)=20

SUBSPACE IDENTIFICATION FOR THE MODEL BASED 
CONTROLLER DESIGN OF A FUNNEL-SHAPED STRUCTURE

T. Nestorović1,2, H. Köppe1, U. Gabbert1
1Institut für Mechanik, Otto-von-Guericke Universität,
Universitätsplatz 2, D-39106, Magdeburg, Germany
2Faculty of Mechanical Engineering, University of Niš,
Aleksandra Medvedeva 14, 18000 Niš, Serbia and Montenegro

Abstract. In order to design and apply controller for a funnel-shaped structure with attached piezoelectric actuators and sensors the model of the structure was identified using the subspace-based system identification. Based on the measured input and output signals from the actuators and sensors, the frequency response functions of the appropriate actuator-sensor pairs were identified and compared with the frequency response functions obtained from the model identified using the subspace identification. Results of the system identification as well as of the control based on the identified models are presented in the form of the  appropriate time and frequency responses.
Key words: subspace based system identification, control of a funnel- shaped structure

IDENTIFIKACIJA MODELA NA BAZI PODPROSTORA MATRICA U
CILJU PROJEKTOVANJA UPRAVLJANJA ZA STRUKTURU OBLIKA LEVKA
U cilju projektovanja i primene upravljanja za strukturu u obliku levka sa piezoelektričnim aktuatorima i senzorima, identifikovan je model primenom identifikacije na bazi podprostora matrica (subspace-based identification). Na osnovu merenih ulaznih i izlaznih signala sa aktuatora i senzora, identifikovani su frekventni odzivi za odgovarajuće parove aktuatora i senzora i uporedjeni sa frekventnim odzivima dobijenim na osnovu modela identifikovanog primenom identifikacije na bazi podprostora odgovarajućih matrica. Rezultati identifikacije i upravljanja, sprovedenog na osnovu identifikovanih modela, prikazani su u obliku odgovarajućih vremenskih i frekventnih odziva.
Ključne reči: identifikacija na bazi podprostora matrica, upravljanje levkastom strukturom.