Earthquake Engineering and Engineering Vibration

, Volume 14, Issue 3, pp 477–486 | Cite as

Active vibration-attenuation controller design for uncertain structural systems with input time-delay

  • Yuanchun Ding
  • Falu Weng
  • Minkang Tang
  • Ji Ge


The problem of active vibration control for uncertain linear structural systems with control forces input timedelay is investigated in this study. First, the original structural equation is converted to a state-space model by utilizing the matrix transformation. Second, according to the obtained model and a special Lyapunov functional, a sufficient condition is achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Then, in terms of solving these linear matrix inequalities (LMIs), the state-feed controller is achieved to stabilize the structural system with the performance ∥z2 <γω2. Third, by introducing the rank-1 vector to describe the system uncertainties, the uncertain system description is obtained, and the stabilizing condition is extended to the uncertain case. Finally, examples are given to show the effectiveness of the proposed methods.


robust stabilization structural system vibration active control time-delay 


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Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Jiangxi Key Laboratory of Mining EngineeringJiangxi University of Science and TechnologyGanzhou, JiangxiChina
  2. 2.Faculty of Electrical Engineering and AutomationJiangxi University of Science and TechnologyGanzhou, JiangxiChina

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