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H ∞ ‐based control strategies for civil engineering structures
Author(s) -
Yang J. N.,
Lin S.,
Jabbari F.
Publication year - 2004
Publication title -
structural control and health monitoring
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.587
H-Index - 62
eISSN - 1545-2263
pISSN - 1545-2255
DOI - 10.1002/stc.38
Subject(s) - toolbox , benchmark (surveying) , upper and lower bounds , control (management) , matlab , set (abstract data type) , engineering , bridge (graph theory) , class (philosophy) , control theory (sociology) , mathematical optimization , matrix (chemical analysis) , computer science , structural engineering , mathematics , mechanical engineering , mathematical analysis , artificial intelligence , geography , geodesy , medicine , materials science , composite material , programming language , operating system
Two H ∞ ‐based control strategies are proposed for application to civil engineering structures. The first strategy deals with a class of excitations with a specified ‘energy’ bound (H ∞ B‐EB), whereas the second strategy addresses a class of excitations with a specified peak bound (H ∞ B‐PB). Both control strategies are derived by minimizing an upper bound of the H ∞ performance (i.e. energy or L 2 gain) with the constraints (or penalties) on the peak values of another set of quantities, such as the control resources. These control strategies are formulated within the framework of linear matrix inequalities (LMIs), so that the LMI toolbox in MATLAB can be used effectively and conveniently. These control techniques are applied to a wind‐excited 76‐storey benchmark building and a long‐span cable‐stayed benchmark bridge subject to earthquakes to illustrate their effectiveness for practical problems, such as control of civil engineering structures. Copyright © 2004 John Wiley & Sons, Ltd.