Earthquakes and Structures

  • 제10권6호
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  • Pages.1253-1272
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  • 2016
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Robust market-based control method for nonlinear structure

  • Song, Jian-Zhu (State Key Lab of Coastal and Offshore Engineering, Liaoning Collaborative Innovation Center for Engineering Disaster Prevention and Mitigation, Dalian University of Technology) ;
  • Li, Hong-Nan (State Key Lab of Coastal and Offshore Engineering, Liaoning Collaborative Innovation Center for Engineering Disaster Prevention and Mitigation, Dalian University of Technology) ;
  • Li, Gang (State Key Lab of Coastal and Offshore Engineering, Liaoning Collaborative Innovation Center for Engineering Disaster Prevention and Mitigation, Dalian University of Technology)
  • 투고 : 2015.12.17
  • 심사 : 2016.04.19
  • 발행 : 2016.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

For a nonlinear control system, there are many uncertainties, such as the structural model, controlled parameters and external loads. Although the significant progress has been achieved on the robust control of nonlinear systems through some researches on this issue, there are still some limitations, for instance, the complicated solving process, weak conservatism of system, involuted structures and high order of controllers. In this study, the computational structural mechanics and optimal control theory are adopted to address above problems. The induced norm is the eigenvalue problem in structural mechanics, i.e., the elastic stable Euler critical force or eigenfrequency of structural system. The segment mixed energy is introduced with a precise integration and an extended Wittrick-Williams (W-W) induced norm calculation method. This is then incorporated in the market-based control (MBC) theory and combined with the force analogy method (FAM) to solve the MBC robust strategy (R-MBC) of nonlinear systems. Finally, a single-degree-of-freedom (SDOF) system and a 9-stories steel frame structure are analyzed. The results are compared with those calculated by the $H{\infty}$-robust (R-$H{\infty}$) algorithm, and show the induced norm leads to the infinite control output as soon as it reaches the critical value. The R-MBC strategy has a better control effect than the R-$H{\infty}$ algorithm and has the advantage of strong strain capacity and short online computation time. Thus, it can be applied to large complex structures.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

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