H-Infinity controller design for structural damping

Show simple item record

dc.contributor.author Rowen, Darren
dc.contributor.author Hopkins, Mark
dc.date.accessioned 2009-04-08T15:01:57Z
dc.date.available 2009-04-08T15:01:57Z
dc.date.issued 2006-03-03
dc.identifier.uri http://hdl.handle.net/1850/8955
dc.description Copyright 2006 Society of Photo-Optical Instrumentation Engineers. This paper was published by SPIE and is made available as an electronic reprint (preprint) with permission of SPIE. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. en_US
dc.description.abstract This paper describes a multivariable controller design procedure that uses mixed-sensitivity H-infinity control theory. The design procedure is based on the assumption that structural noise can be modeled as entering a state-space system through a random input matrix. The design process starts with a full-order flexible state-space model that undergoes a frequency-weighted balanced truncation to obtain a reduced-order model with excellent low frequency matching. Weighting functions are then created to specify the desired frequency range for disturbance rejection and controller bandwidth. A structural noise input matrix is also designed to identify system modes where maximal damping is desired. An augmented plant is then assembled using the reduced-order model, weighting functions and structural noise input matrix to create a mixed-sensitivity configuration. A state-space controller is then realized using an H-infinity design algorithm. A two-input, three-output, doubly cantilevered beam system provides a design example. A 174th-order, discrete-time, state-space model of the cantilevered beam system was used to generate a reduced 40th-order model. A 55th-order Hinfinity controller was then designed with a controller bandwidth of approximately 300 Hz. This non-square modern controller uses feedback signals from two piezoelectric sensors, each collocated with one of two piezoelectric actuators, and one highly non-collocated accelerometer. The two piezoelectric actuators provide the control actuation. Frequency analysis and time-domain simulations are utilized to demonstrate the damping performance. en_US
dc.language.iso en_US en_US
dc.publisher SPIE en_US
dc.relation RIT Scholars content from RIT Digital Media Library has moved from http://ritdml.rit.edu/handle/1850/8955 to RIT Scholar Works http://scholarworks.rit.edu/other/193, please update your feeds & links!
dc.relation.ispartofseries Vol. 6169 en_US
dc.relation.ispartofseries pp. 22-33 en_US
dc.subject Controller design en_US
dc.subject Flexible en_US
dc.subject H-infinity en_US
dc.subject MIMO en_US
dc.subject Mixed-sensitivity en_US
dc.title H-Infinity controller design for structural damping en_US
dc.type Proceedings en_US

Files in this item

Files Size Format View
MHopkinsProceedings02-2006.pdf 995.6Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search RIT DML

Advanced Search