Dergiler / Turkish Journal of Electrical Engineering and Computer Science / 2011 / Cilt: 19 - Sayı: 6

Active vibration control of seismic excited structural system using LMI-based mixed H2/H\infty state feedback controller

Sayfa
839–849
Yayın Tarihi
2011-06-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper is concerned with the active vibration control of a four-degree-of-freedom structure, which is effected by earthquake.
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Temel Bulgular & Veri:To obtain desired time history and frequency responses for solution of active vibration control problem, Linear Matrix Inequality (LMI) based state-feedback mixed H2/H\infty controller is designed in this study.
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Sonuç & Katkı:Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Mixed H2/H\infty control · linear matrix inequality · vibration

Özet

This paper is concerned with the active vibration control of a four-degree-of-freedom structure, which is effected by earthquake. To obtain desired time history and frequency responses for solution of active vibration control problem, Linear Matrix Inequality (LMI) based state-feedback mixed H2/H\infty controller is designed in this study. The time history of ground motion of the Kobe earthquake in 1995, which is a disturbance input, is applied to modeled structure. At the end of the study, the time history of the storey displacements, velocities and frequency responses of both controlled and uncontrolled cases are presented and results are discussed. Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.

Abstract

This paper is concerned with the active vibration control of a four-degree-of-freedom structure, which is effected by earthquake. To obtain desired time history and frequency responses for solution of active vibration control problem, Linear Matrix Inequality (LMI) based state-feedback mixed H2/H\infty controller is designed in this study. The time history of ground motion of the Kobe earthquake in 1995, which is a disturbance input, is applied to modeled structure. At the end of the study, the time history of the storey displacements, velocities and frequency responses of both controlled and uncontrolled cases are presented and results are discussed. Performance of the designed controller has been shown for the different loads and disturbances using ground motion of the Kocaeli earthquake.

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Bu Makaleye Atıf Yap

YAZICI, H., GÜÇLÜ, R. (2011). Active vibration control of seismic excited structural system using LMI-based mixed H2/H\infty state feedback controller. Turkish Journal of Electrical Engineering and Computer Science, Cilt: 19 - Sayı: 6, 839–849. https://ajindex.com/articles/188788

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Kaynakça (8)

  1. To verify insensitiveness of the designed controller against parametric uncertainties, the values of mass parameters of each storey are increased 15 % and 30 % variation from initial mass of the structure. Robustness of the proposed controller has been checked using controlled displacement frequency responses of fourth storey against the uncertainties in mass parameters in Figure 8. This Şgure reveals that the proposed controller has a satisfactory robust character for different loads. 5. Conclusions T.T. Soong, M.C. Constantinou, “Passive and Active Structural Vibration Control in Civil Engineering”, CISM Courses and Lecrures No 345, Springer-Verlag, Wien, New York, 1994. K. Yoshida, and T. Fujio,“Semi-active base isolation for a building structure”, Proceedings of the 1999 ASME Design Engineering Technical Conference, Las Vegas, Nevada, pp. 1-6, 1999. D. Dan Cho, “Experimental results on sliding mode control of an electromagnetic suspension”, Mechanical Systems and Signal Processing Vol. 7, No. 4, pp. 283-292, 1993. M.V.C. Rao, and V. Prahlad, “A tunable fuzzy logic controller for vehicle-active suspension systems”, Fuzzy Sets and Systems Vol. 85, pp. 11-21, 1997.
  2. H. Nishimura, Y. Ohkubo, K. Nonami, “Active isolation control for multi-degree-of-freedom structural system”, Third International Conference on Motion and Vibration Control, pp. 82-87,
  3. Chiba, Japan, 1996. R. Guclu and A. Sertbas, “Evaluation of sliding mode and proportional-integral-derivative controlled structures with an active mass damper”, Journal of Vibration and Control, Vol. 11, No. 3, pp. 397-406, 2005. R. Guclu, “Sliding mode and PID control of a structural system against earthquake”, Mathematical and Computer Modelling, Vol. 44, No. (1-2), pp.210-217, 2006.
  4. H. Du, J. Lam, K.Y. Sze, “Non-fragile H∞vibration control for uncertain structural systems”, Journal of Sound and Vibration, 273, 1031-1045, 2004.
  5. M. Aldawod, B. Samali, F. Naghdy, K.C.S. Kwok, “Active control of along wind response of tall building using a fuzzy controller”, Engineering Structures, Vol. 23, pp. 1512-1522, 2000.
  6. R. Guclu, H. Yazici, “Fuzzy logic control of a non-linear structural system against earthquake induced vibration”, Journal of Vibration and Control, Vol. 13, No. 11, pp. 1535-1551, 2007.
  7. R. Guclu, H. Yazici, “Self-tuning fuzzy logic control of a non-linear structural system with ATMD against earth- quake”, Nonlinear Dynamics, Vol. 56, No. 3, pp. 199-211, 2009.
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