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H∞ Control of a Building Structure with Time-Varying Delay

H∞ Control of a Building Structure with Time-Varying Delay In this paper, a H∞ controller for a building structure with time-varying delay is studied. A matrix inequality used for stability analysis is proposed, an H∞ controller is designed based on the matrix inequality and by using the parameter-adjusting method. Three control cases are discussed detailly by transforming the problem into parameters optimization: (i) allowable time delay with known controller; (ii) controller design with known maximum time delay; (iii) the biggest allowable time delay to maintain system stability with unknown controller. Numerical simulations are also given to demonstrate the validity and feasibility of the proposed methods in this paper. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Structural Engineering SAGE

H∞ Control of a Building Structure with Time-Varying Delay

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Publisher
SAGE
Copyright
© 2015 SAGE Publications
ISSN
1369-4332
eISSN
2048-4011
DOI
10.1260/1369-4332.18.5.643
Publisher site
See Article on Publisher Site

Abstract

In this paper, a H∞ controller for a building structure with time-varying delay is studied. A matrix inequality used for stability analysis is proposed, an H∞ controller is designed based on the matrix inequality and by using the parameter-adjusting method. Three control cases are discussed detailly by transforming the problem into parameters optimization: (i) allowable time delay with known controller; (ii) controller design with known maximum time delay; (iii) the biggest allowable time delay to maintain system stability with unknown controller. Numerical simulations are also given to demonstrate the validity and feasibility of the proposed methods in this paper.

Journal

Advances in Structural EngineeringSAGE

Published: May 1, 2015

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