Time-delayed dynamic output feedback HN controller design for civil structures: A decentralized approach through homotopic transformation

摘要

For the control of large-scale complex systems, it has been widely recognized that decentralized approachesnmay offer a number of advantages compared with centralized approaches. Primarily, these advantagesninclude less feedback latency and lower demand on communication range, which may result in betterncontrol performance and lower system cost. This paper presents a decentralized approach for the control ofnlarge-scale civil structures. The approach provides decentralized dynamic output feedback controllers thatnminimize the HN norm of the closed-loop system. The effect of feedback time delay is considered in thenproblem formulation, and therefore, compensated during the controller design. The control decentralizationnis achieved using a homotopy method that gradually transforms a typical centralized controller intonmultiple uncoupled decentralized controllers. At each homotopy step, linear matrix inequality (LMI)nconstraints are satisfied to guarantee the performance requirement for the closed-loop HN norm. Thenproposed algorithm is validated through numerical simulations with a five-story example structure.nPerformance of the proposed algorithm is compared with a time-delayed decentralized control algorithm thatnis based upon the linear quadratic regulator (LQR) criteria. Copyright r 2009 John Wiley & Sons, Ltd.