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Proceedings Paper

H-infinity controller design for structural damping
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Paper 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.

Paper Details

Date Published: 15 March 2006
PDF: 12 pages
Proc. SPIE 6169, Smart Structures and Materials 2006: Damping and Isolation, 616904 (15 March 2006); doi: 10.1117/12.658327
Show Author Affiliations
Darren W. Rowen, The Aerospace Corp. (United States)
Rochester Institute of Technology (United States)
Mark A. Hopkins, Rochester Institute of Technology (United States)


Published in SPIE Proceedings Vol. 6169:
Smart Structures and Materials 2006: Damping and Isolation
William W. Clark; Mehdi Ahmadian; Arnold Lumsdaine, Editor(s)

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