Luenberger observer application in decentralised control of civil structures

Abstract

Decentralised control techniques have been developed to compensate for the deficiencies of centralised methods. However, despite their prominence, decentralised control approaches present sub-optimal responses, and this topic has recently attracted the attention of researchers. In this paper, a novel decentralised control technique based on the Luenberger observer is proposed to improve the control performance of structural vibrations based on the state estimation approach. The controlled responses of a three-storey shear frame model are investigated. The efficiency of the proposed method is demonstrated through a comparison of the results with the corresponding centralised control method, a fully decentralised method and the recently proposed Kalman-based approach. In addition, precise results of an uncertain structural model clearly illustrate the superiority of the Luenberger method. An intelligent design procedure is assigned to the observer poles, which ensures acceptable accuracy of the proposed method in noisy measurement conditions.