Collocated H∞ Control of a Cantilevered Beam using an Analytical Upper-bound Approach

Autor:	Robert J. Sweeney, Michael A. Demetriou, Karolos M. Grigoriadis
Rok vydání:	2008
Předmět:	Engineering Cantilever business.industry Mechanical Engineering Structural system H control Upper and lower bounds Piezoelectricity Finite element method Control theory Norm (mathematics) General Materials Science Actuator business
Zdroj:	Journal of Intelligent Material Systems and Structures. 20:865-873
ISSN:	1530-8138 1045-389X
DOI:	10.1177/1045389x08099024
Popis:	This article examines the collocated H∞ control of vector second-order structural systems using an analytical upper-bound method. The structural system considered in this work is that of a cantilevered aluminum beam with a collocated pair of piezoceramic patches to serve as actuators and sensors. An explicit expression that bounds the H∞ norm of collocated structural systems is applied for analysis and control synthesis, resulting in significant computational advantages compared to standard H ∞ analysis and control methods. The proposed approximation method is used to design a static output feedback controller that guarantees a closed-loop H∞ norm less than any user-defined value. This method is validated using a finite element representation of the beam, and then verified experimentally.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::df3f6bc9bcd04857df566409be56bda4 https://doi.org/10.1177/1045389x08099024 Zobrazit plný text záznamu