TY - JOUR
T1 - Reduced order robust controllers for an experimental flexible grid
AU - Rao, S. Vittal
AU - Westerheide, M.
AU - Das, Alok
PY - 1990
Y1 - 1990
N2 - A procedure for the design and implementation of reduced-order robust controllers for active vibration control on an experimental flexible grid structure is presented. The experimental structure consists of a 5-ft × 5-ft grid made of 2-in-wide, 1/8-in-thick aluminum strips. The grid hangs vertically, being cantilevered at the top to a large T-beam anchored to a cinder block wall. The grid structure is represented by a 75-degree-of-freedom finite-element model, and the controller uses three piezoelectric accelerometer sensors to command three noncollocated DC motor torquers. The modified balance-truncation model-reduction method is used to derive a control synthesis model. These reduced-order models preserve stabiilty, controllability, and observability, and have a good frequency response match at low frequencies. A 10-mode mathematical representation of the experimental grid structure has non-minimum-phase zeros. The effects of non-minimum-phase zeros on the performance of a closed-loop LQG/LTR controller are investigated. The reduced-order controllers are implemented on the structure using an ISI Max 100 computer. Experimental closed-loop performance of the grid is obtained for various parameter variations.
AB - A procedure for the design and implementation of reduced-order robust controllers for active vibration control on an experimental flexible grid structure is presented. The experimental structure consists of a 5-ft × 5-ft grid made of 2-in-wide, 1/8-in-thick aluminum strips. The grid hangs vertically, being cantilevered at the top to a large T-beam anchored to a cinder block wall. The grid structure is represented by a 75-degree-of-freedom finite-element model, and the controller uses three piezoelectric accelerometer sensors to command three noncollocated DC motor torquers. The modified balance-truncation model-reduction method is used to derive a control synthesis model. These reduced-order models preserve stabiilty, controllability, and observability, and have a good frequency response match at low frequencies. A 10-mode mathematical representation of the experimental grid structure has non-minimum-phase zeros. The effects of non-minimum-phase zeros on the performance of a closed-loop LQG/LTR controller are investigated. The reduced-order controllers are implemented on the structure using an ISI Max 100 computer. Experimental closed-loop performance of the grid is obtained for various parameter variations.
UR - http://www.scopus.com/inward/record.url?scp=0025421851&partnerID=8YFLogxK
U2 - 10.23919/acc.1990.4790759
DO - 10.23919/acc.1990.4790759
M3 - Conference article
AN - SCOPUS:0025421851
SN - 0743-1619
SP - 356
EP - 361
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - Proceedings of the 1990 American Control Conference
Y2 - 23 May 1990 through 25 May 1990
ER -