〖 H〗_(∞ )Technique for Five Story Buildings Under Seismic Loads and Uncertainty Process Using Synchronized Control

Document Type : Original Paper

Authors

1 Department of Applied Mathematics, Tarbiat Modares University, Tehran, Iran

2 Department of Mathematics, Payame Noor University, Tehran, Iran

Abstract

In this paper, synchronized control is used for five story structure of Kajima Shizuoka under the EL - Centro earthquake load  ( 1940) seismic record. According to coupled values of displacement, drift and position error the related partial differential equation for motion and state is solved successfully. The Riccati equation is solved based on the close loop transfer function with respect to uncertainty parameters and random dynamic processes. Numerical simulations along with comparisons are made to evaluate the efficiency of this hybrid technique.

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References

 Aldemir, U. Arcan, Y. and Mehmet, B. (2012). Control of Structural Response Under Earthquake Excitation, Computer‐ Aided Civil and Infrastructure Engineering, 27,620-638.
 
 
 Sundaram, S., Sriram, N. and Satish, N. (2012). Direct adaptive neural controller for the active control of earthquake-excited nonlinear base-isolated, Structural Control and Health Monitoring, 19, 370 – 384.
 
Jiang, Jin. and De, YD. (2012). Motion planning and synchronized control of the dental arch generator of the toot- arrangement robot. The International Journal of Medical Robotics and Computer Assisted Surgery, 9, 94 – 102.
 Yoram, Koren. (1980). Cross - Coupled Biaxial Computer Controls for Manufacturing Dynamic Systems Measurement and Control, Journal of Dynamic Systems, Measurement, and Control, 102, 265 – 272.
 Kulkarni, P.K. and Srinivasan, K. (1985). Cross Coupled Compensators for Contouring Control of Multi-Axial Machine Tools, in Proceedings of the 13 th North American Manufacturing.
Koren, Y. and Lo, Ch. (1991). Variable- Gain Cross - Coupling Controller for Contouring. Annalof CIRP, 40, 371 – 374.
 
Sun, D. (2004). Adaptive Coupling Control of Two Working Operations in CNC Integrated Machines, ASME Journal of Dynamic Systems Measurement and Control, 125, 662 – 665.
 
 Sun, D. Feng, G. Lam, C. M. and Dong, H. (2005). Orientation control of a differential mobile robot through wheel synchronization, IEEE /ASME Transactions on Mechatronics 10, 345 – 351.
 
Sun, D. and Tong, M. C. (2009). A Synchronization Approach for the Minimization of Contouring Errors of CNC Machine Tools. IEEE Transactions on Automation Science and Engineering, 6, 720 – 729.
 
Jiang, J. G. and Zhang, Y.D. (2012). Motion planning and synchronized control of the dental arch generator of the tooth-arrangement robot, The International Journal of Medical Robotics and Computer Assisted Surgery, 9, 94 - 102.
 
Zhao, D., Zhu, Q. Li, S. and Gao, F. (2013). Synchronized Control of Mechanical Systems: A Tutorial. Applied Methods and Techniques for Mechatronic Systems, Springer Berlin Heidelberg, 1-25.
 
 Mesbahi, J. and Malak, A. (2015). Synchronized Control for Five-Story Building under Earthquake Loads. Journal of Applied Mathematics. Article ID 507306.
Sun, Dong. (2010). Synchronization and Control of Multi-agent systems: CRC Press, New York, NY, USA.
 Alma, Marouane. Martinez, J. Ioan, D. Landau. And Buche, G. (2011). Design and Tuning of Reduced Order H - infinity Feedforward Compensators for Active Vibration Control. Control Systems Technology, IEEE Transactions, 20, 554 - 561.
 Gawronski, and Wodek, K. (2004). Advanced Structural Dynamics and Active Control of Structures. New York: Springer.
Zhou, K. and Doyle, J C. (1998). Essentials of robust control. Upper Saddle River, NJ: Prentice Hall.
 Moghaddam, H. (2002). Earthquake Engineering Theory and Application.Tehran: Frahang
 
[18] Rubió, M. Palacios, J. Quiñonero, J. and Rossell, M. (2011). Decentralized static output feedback H∞ controller design for buildings under seismic excitation. Earthquake Engineering & Structural Dynamics, 41, 1199-1205.
 
[19] Kurata, N. Kobori, T. Takahashi, M. Niwa, N. and Midorikawa, H. (1999). Actual seismic response controlled building with semi active damper system. EarthquakeEngineering & Structural Dynamics, 28, 1427 - 1447.
 
Journal of Advanced Mathematical Modeling
Volume 6, Issue 2
December 2016
Pages 31-53

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History

  • Receive Date: 30 May 2015
  • Revise Date: 19 June 2017
  • Accept Date: 23 February 2017

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