CHEN Long-xiang, CAI Guo-ping. Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1318-1326. doi: 10.3879/j.issn.1000-0887.2009.11.006
Citation: CHEN Long-xiang, CAI Guo-ping. Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1318-1326. doi: 10.3879/j.issn.1000-0887.2009.11.006

Design Method of Multiple Time-Delay Controller for Active Structural Vibration Control

doi: 10.3879/j.issn.1000-0887.2009.11.006
  • Received Date: 2009-03-04
  • Rev Recd Date: 2009-09-27
  • Publish Date: 2009-11-15
  • Optmial control method for seismically excited building structures with multiple tmie delays is investigated. Firstly the system state equation with multiple time delays is discretized and transformed into a standard discrete form without any explicit tmie delay by a particular augmenting for state variables. Then a tmie-delay controller is designed based on this standard equation using the discrete optimal control method. Finally the effectiveness of the proposed controller is demonstrated by numerical smiulations. Smiulation results indicate that a very small tmie delaymay resultin in stability of the control system if it is not compensated in control design. Tmie delay may be compensated effectively by the proposed controller and good control effectiveness may be obtained simultaneously. Moreover, the proposed controller is available for both small and large tmie delay.
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