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 x 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 Non collocated DC motor torquers. The modified balance-truncation model-reduction method is used to derive a control synthesis model. These reduced-order models preserve stability, 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.
V. S. Rao et al., "Reduced Order Robust Controllers For An Experimental Flexible Grid," Proceedings of the American Control Conference, pp. 356 - 361, Institute of Electrical and Electronics Engineers, Jan 1990.
The definitive version is available at https://doi.org/10.23919/acc.1990.4790759
Electrical and Computer Engineering
International Standard Serial Number (ISSN)
Article - Conference proceedings
© 2023 Institute of Electrical and Electronics Engineers, All rights reserved.
01 Jan 1990