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

  • 제14권7호
  • /
  • Pages.612-618
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  • 2004
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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압전/빔 시스템에 대한 강건제어기 개발

Development of a Robust Controller for Piezo/beam Systems

  • 홍성일 (포항공과대학교 대학원 기계공학과) ;
  • 박현철 (포항공과대학교 기계공학) ;
  • 박철휴 (포항공과대학교 기계공학과)
  • 발행 : 2004.07.01
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초록

This paper presents a robust vibration control methodology for smart structural systems. The governing equation and associated boundary conditions of the smart structural system are derived by using Hamilton's principle. The assumed mode method is used to discretize the governing equation into a set of ordinary differential equation. A robust controller is designed using a linear matrix inequality (LMI) approach for the multiobjective synthesis. The design objectives are to achieve a mix of H$_{\infty}$ performance and H$_2$ performance satisfying constraints on the closed-loop pole locations in the presence of model uncertainties. Numerical examples are presented to demonstrate the effectiveness of LMI approach in damping out the multiple vibration modes of the piezo/beam system.

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참고문헌

  1. IEEE Trans. On Automatic Control v.40 no.3 H$_{\infty}$ Design with Pole Placement Constraints: An LMI Approach Chilali, M.;Gahinet, P.
  2. Linear Matrix Inequalities in System and Control Theory Boyd, S.;Ghaoui, L. E.;Fron, E.;Balakrishian, V.
  3. IEEE Standard on Piezo-electricity (IEEE Std 176-1987) IEEE
  4. Mechanical Vibrations Rao, S. S.
  5. J. of Sound and Vibration v.126 no.2 Performance of an Active Control System with Piezoelectric Actuators Baz, A.;Poh, S. https://doi.org/10.1016/0022-460X(88)90245-3
  6. IEEE Trans. on Automatic Control v.42 no.7 Multiobjective Output-feedback Control via LMI Optimization Scherer, C.;Gahinet, P.;Chilali, M. https://doi.org/10.1109/9.599969
  7. Essentials of Robust Control Zhou, K.;Doyle, J.
  8. Linear Systems Antsaklis, P.;Michel, A.
  9. The LMI Control Toolbox Gahinet, P.;Nemirovski, A.;Laub, A.;Chilali, M.
  10. 한국소음진동공학회논문집 v.13 no.3 비대칭 로터-자기베어링 시스템의 LMI에 기초한 H$_{\infty}$ 강건제어 강호식;송오섭
  11. 한국소음진동공학회논문집 v.13 no.5 중대형 왕복동 기관의 진동제어를 위한 능동형 역기진기 제어 알고리즘 개발 김대현(등) https://doi.org/10.5050/KSNVN.2003.13.3.172
  12. 김대현 등, 2003, "중대형 왕복동 기관의 진동제어를 위한 능동형 역기진기 제어 알고리즘 개발," 한국소음진동공학회논문집, 제13권, 제5호, pp.348-356. https://doi.org/10.5050/KSNVN.2003.13.5.348