Structural Engineering and Mechanics

  • 제20권2호
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  • Pages.191-207
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  • 2005
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Active control of a flexible structure with time delay

  • Cai, Guo-Ping (Department of Engineering Mechanics, Shanghai Jiaotong University) ;
  • Yang, Simon X. (Advanced Robotics and Intelligent Systems (ARIS) Lab, School of Engineering, University of Guelph)
  • 투고 : 2004.01.27
  • 심사 : 2005.03.14
  • 발행 : 2005.05.30
⟨ 이전 논문 다음 논문 ⟩

초록

Time delay exists inevitably in active control, which may not only degrade the system performance but also render instability to the dynamic system. In this paper, a novel active controller is developed to solve the time delay problem in flexible structures. By using the independent modal space control method, the differential equation of the controlled mode with time delay is obtained from the time-delay system dynamics. Then it is discretized and changed into a first-order difference equation without any explicit time delay by augmenting the state variables. The modal controller is derived based on the augmented system using the discrete variable structure control method. The switching surface is determined by minimizing a discrete quadratic performance index. The modal coordinate is extracted from sensor measurements and the actuator control force is converted from the modal one. Since the time delay is explicitly included throughout the entire controller design without any approximation, the system performance and stability are guaranteed. Numerical simulations show that the proposed controller is feasible and effective in active vibration control of dynamic systems with time delay. If the time delay is not explicitly included in the controller design, instability may occur.

키워드

참고문헌

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피인용 문헌

  1. Optimal tracking control of a flexible hub–beam system with time delay vol.16, pp.4, 2006, https://doi.org/10.1007/s11044-006-9029-z
  2. Optimal Control of a Flexible Beam with Multiple Time Delays vol.15, pp.10, 2009, https://doi.org/10.1177/1077546308097263