H∞ controller with output feedback using linear matrix

Proceedings of COBEM 2007
Copyright © 2007 by ABCM

19th International Congress of Mechanical Engineering
November 5-9, 2007, Brasília, DF

H∞ CONTROLLER WITH OUTPUT FEEDBACK USING LINEAR MATRIX
INEQUALITIES FOR APPLICATION IN BUILDING MODEL
Rodrigo Borges Santos, [e-mail]
Douglas Domingues Bueno, [e-mail]
Clayton Rodrigo Marqui, [e-mail]
Vicente Lopes Junior, [e-mail]
GMSINT – Grupo de Materiais e Sistemas Inteligentes, Mechanical Engineering Department, Faculdade de Engenharia de Ilha
Solteira – UNESP, Av. Brasil 56, Ilha Solteira, SP, Brazil, ZIP CODE 15385000, www.dem.feis.unesp.br/gmsint

Abstract. Experimental verification of structural vibrations control strategies is essential for eventual full-scale implementations. However, few researchers have facilities readily available to them that are capable of even smallscale structural control experiments. Appropriately constructed bench-scale models can be used to study important aspects of full-scale structural vibrations control implementations, including: control-structure interaction, actuator and sensor dynamics, states feedback design, control spillover, etc. In this sense, the purpose of this article is the project of H∞ controller with output feedback using linear matrix inequalities (LMIs) for vibration attenuation in a flexible building like structure. The considered structure is manufactured by Quanser Consulting Inc., and it is controlled by an active mass driver (AMD). The structure consists of a steel frame with a controllable mass located at the top, which can be configured to have either 1 or 2 floors. In this paper, a 2-floor configuration is employed. The actual experiment considered herein is an effective way to deal with challenges associated with active control of flexible structures.
Keywords: Active Vibration Control, H∞ controller, Linear Matrix Inequalities (LMIs) and Active Mass Driver (AMD)