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Time‐delayed dynamic output feedback ℋ︁ ∞ controller design for civil structures: A decentralized approach through homotopic transformation
Author(s) -
Wang Yang
Publication year - 2011
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.344
Subject(s) - control theory (sociology) , decentralised system , norm (philosophy) , linear matrix inequality , linear quadratic regulator , controller (irrigation) , homotopy , control engineering , transformation (genetics) , computer science , mathematical optimization , engineering , control (management) , optimal control , mathematics , agronomy , biochemistry , chemistry , artificial intelligence , political science , gene , pure mathematics , law , biology
For the control of large‐scale complex systems, it has been widely recognized that decentralized approaches may offer a number of advantages compared with centralized approaches. Primarily, these advantages include less feedback latency and lower demand on communication range, which may result in better control performance and lower system cost. This paper presents a decentralized approach for the control of large‐scale civil structures. The approach provides decentralized dynamic output feedback controllers that minimize the ℋ ∞ norm of the closed‐loop system. The effect of feedback time delay is considered in the problem formulation, and therefore, compensated during the controller design. The control decentralization is achieved using a homotopy method that gradually transforms a typical centralized controller into multiple uncoupled decentralized controllers. At each homotopy step, linear matrix inequality (LMI) constraints are satisfied to guarantee the performance requirement for the closed‐loop ℋ ∞ norm. The proposed algorithm is validated through numerical simulations with a five‐story example structure. Performance of the proposed algorithm is compared with a time‐delayed decentralized control algorithm that is based upon the linear quadratic regulator (LQR) criteria. Copyright © 2009 John Wiley & Sons, Ltd.