Acta Mechanica Solida Sinica

, Volume 21, Issue 3, pp 257–266 | Cite as

Active Control of a Flexible Cantilever Plate with Multiple Time Delays

  • Longxiang Chen
  • Ji Pan
  • Guoping Cai


Active control of a flexible cantilever plate with multiple time delays is investigated using the discrete optimal control method. A controller with multiple time delays is presented. In this controller, time delay effect is incorporated in the mathematical model of the dynamic system throughout the control design and no approximations and assumptions are made in the controller derivation, so the system stability is easily guaranteed. Furthermore, this controller is available for both small time delays and large time delays. The feasibility and efficiency of the proposed controller are verified through numerical simulations in the end of this paper.

Key Words

flexible cantilever plate multiple time delays discrete optimal control 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2008

Authors and Affiliations

  • Longxiang Chen
    • 1
  • Ji Pan
    • 1
  • Guoping Cai
    • 1
  1. 1.Department of Engineering MechanicsShanghai Jiaotong UniversityShanghaiChina

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