Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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The Stability Conditions, Performance and Design Methodology for the Positive Position Feedback Controller

양변위 되먹임 제어기의 안정성, 제어 성능 및 설계 방법

  • 곽문규 (동국대학교 기계공학과) ;
  • 한상보 (경남대학교 기계자동화공학부) ;
  • 허석 (Univ. of Nevada, Reno 기계공학과)
  • Published : 2004.03.01
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Abstract

This paper is concerned with the theoretical estimation of the single-input single-output(SISO) positive position feedback(PPF) controller and the derivation of the stability conditions for the multi-input multi-output (MIMO) PPF controller. Although the stability condition for the SISO PPF controller was derived in the earlier works, the question regarding the performance estimation of the SISO PPF controller has never been studied theoretically. Hence, the SISO PPF controller for the single degree-of-freedom system was first investigated and then control parameters including gain, the filter frequency, and the damping factor of the PPF controller were analyzed in detail thus providing the design methodology for the SISO PPF controller. In the case of real structure. there are infinite number of natural modes so that some modes are to be controlled by a limited number of actuator and sensor. Based on the theoretical results on the SISO PPF controller, the stability condition for the multi-input multi-output PPF controller was derived when only the few number of modes are to be controlled. The control spillover problem is also discussed in detail.

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References

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  5. 한국소음진동공학회논문집 v.8 no.6 지증구조물의 능동진동제어을 위한 다중 PPF 제어기와 수정 LQC 제어기의 비료연구 곽문규
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  2. Active vibration control of clamped beams using positive position feedback controllers with moment pair vol.26, pp.3, 2012, https://doi.org/10.1007/s12206-011-1233-y
  3. Dynamic modeling, input-shaped maneuvering and vibration suppression of flexible body using quasi-coordinates and euler parameters vol.27, pp.3, 2013, https://doi.org/10.1007/s12206-013-0115-x
  4. Development of Adaptive Positive Position Feedback Controller for Active Vibration Suppression of Smart Structures vol.28, pp.4, 2018, https://doi.org/10.5050/KSNVE.2018.28.4.403