Title: Reduced-order models for a smart plate

Authors: G. Jayaprasad, C. Sujatha

Addresses: Machine Design Section, Department of Mechanical Engineering, IIT Madras, Chennai 600036, India. ' Machine Design Section, Department of Mechanical Engineering, IIT Madras, Chennai 600036, India

Abstract: A Single Input Single Output (SISO) state space model has been developed in MATLAB using a smart plate model realised in ANSYS®. The frequency response due to a unit force, for the full model as well as the reduced unsorted and sorted models was studied. DC gain is used as the criterion for sorting. Simple reductions as well as |modred| option of MATLAB were used for model reduction. In this paper a method of reducing modes, |balanced reduction| will also be introduced. The method will be compared with dc and peak gain ranking methods using a smart plate model. The step and impulse responses for all the models were also studied. The model with minimum number of modes retained, and with minimum deviation from full model characteristics was identified analytically. It is proposed to use this model subsequently for vibration control applications.

Keywords: smart plates; model reduction; modred; controllability grammian; balanced reduction; state space modeling; MATLAB; vibration control.

DOI: 10.1504/IJAAC.2007.015871

International Journal of Automation and Control, 2007 Vol.1 No.4, pp.314 - 341

Published online: 26 Nov 2007 *

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