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Sampled‐Data Minimum H ∞ ‐Norm Regulation in Structural Analysis Using Multirate‐Output Controllers
Author(s) -
Zacharenakis E.C.,
Arvanitis K.G.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200006)80:6<363::aid-zamm363>3.0.co;2-d
Subject(s) - control theory (sociology) , sampled data systems , norm (philosophy) , equivalence (formal languages) , output feedback , sampling (signal processing) , mathematics , computer science , control (management) , control engineering , control system , engineering , law , filter (signal processing) , discrete mathematics , artificial intelligence , political science , computer vision , electrical engineering
In this paper, the use of multirate‐output controllers for sampled‐data minimum H ∞ ‐norm regulation of civil engineering structures is investigated for the first time. The proposed control strategy contains a multirate sampling mechanism with different sampling period to each system measured‐output. The civil engineering structures, studied in the paper, are considered to be assembled from finite elements obeying linear material laws, their displacements are small and the number of measured outputs is at least equal to the number of the disturbance forces and equal to the number of the control forces. The proposed technique relies on the equivalence between the action of multirate‐output controllers and the action of static state feedback controllers, thus greatly simplifying the theoretical and computational aspects of the H ∞ ‐control problem.