Robust Control Synchronization on Multi-Story Structure under Earthquake Loads and Random Forces using H∞ Algorithm

Document Type: کاربردی


1 PNU, Applied Mathematics Department

2 Applied Mathematics Dept. Tarbiat Modares University Tehran, Iran

3 Civil Eng Dept. PayameNoor University


In this paper‎, ‎the concept of synchronization control along with robust H∞ control are considered to evaluate the seismic response control on multi-story structures‎. ‎To show the accuracy of the novel algorithm‎, ‎a five-story structure is evaluated under the EL-Centro earthquake load‎. ‎In order to find the performance of the novel algorithm‎, ‎random and uncertainty processes corresponding to Riccati equation is solved under a specific dynamic‎. ‎Time history graphs corresponding to maximum displacement and floors force control are presented and evaluated‎. ‎Despite the existence of random process and uncertainty in structure‎, ‎stability and optimal performances are shown.


Main Subjects

[1] Aldemir U.‎, ‎Yanik A.‎, ‎Bakioglu M‎. ‎(2012)‎. ‎``Control of Structural Response Under Earthquake Excitation"‎, ‎Computer-Aided Civil and Infrastructure Engineering‎, ‎27‎, ‎8‎, ‎620-638‎.

[2] Alma M.‎, ‎Martinez J‎. ‎J.‎, ‎Landau I‎. ‎D.‎, ‎Buche G‎. ‎(2012)‎. ‎``Design and tuning of reduced order h-infinity feed forward compensator for active vibraton control"‎, ‎Control Systems Technology‎, ‎IEEE Transactions‎, ‎20‎, ‎2‎, ‎554-561‎.

[3] Borenstein J.‎, ‎Koren Y‎. ‎(1987)‎. ‎``Motion Control Analysis of a Mobile Robot"‎, ‎ASME‎, ‎Journal of Dynamics‎, ‎Measurement and Control‎, ‎109‎, ‎2‎, ‎73–79‎.

[4] Chung S‎. ‎J.‎, ‎Slotine J‎. ‎J‎. ‎E‎. ( ‎2009)‎. ‎``Cooperative robot control and concurrent synchronization of Lagrangian systems"‎, ‎IEEE Transactions on Robotics‎, ‎25‎, ‎3‎, ‎686–700‎.

[5] Gawronski‎, ‎Wodek K‎. ‎(2004)‎. ‎``Advanced structural dynamics and active control of structures"‎, ‎New York‎, ‎Springer‎.

[6] Jiang J‎. ‎G.‎, ‎Zhang Y‎. ‎D‎. ‎(2013)‎. ‎``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, ‎1‎, ‎94-102‎.

[7] Kurata N.‎, ‎Kobori T.‎, ‎Takahashi M.‎, ‎Niwa N.‎, ‎Midorikawa H‎. ‎(1999)‎. ‎``Actual seismic response controlled building with semi active damper system"‎, ‎Earthquake engineering & structural dynamics‎, ‎28‎, ‎1‎, ‎1427-1447‎.

[8] Massegú J‎. ‎R.‎, ‎Quiñonero F‎. ‎P.‎, ‎Rossell J‎. ‎M‎. ‎(2012)‎. ‎``Decentralized static output-feedback ${{ H}}_{infty }$ controller design for buildings under seismic excitation"‎, ‎Earthquake Engineering & Structural Dynamics‎, ‎41‎, ‎7‎, ‎1199–1205‎.

[9] Mesbahi J.‎, ‎Malek A‎. ‎(2015)‎. ‎``Synchronized Control for Five-Story Building under Earthquake Loads"‎, ‎Journal of Applied Mathematics‎. ‎Article ID 507306‎.

[10] Moghaddam H‎. ‎(2002)‎. ‎``Earthquake Engineering Theory and Application"‎, ‎Tehran‎: ‎Farahang‎, ‎248‎- ‎250‎.

[11] Rodriguez A‎. ‎A.‎, ‎Nijmeijer H‎. ‎(2004)‎. ‎``Mutual synchronization of robots via estimated state feedback a cooperative approach"‎, ‎IEEE Transactions on Control Systems Technology‎, ‎12‎, ‎4‎, ‎542–554‎.

[12] Suresh S.‎, ‎Narasimhan S.‎, ‎Nagarajaiah S‎. ‎(2012)‎. ‎``Direct adaptive neural controller for the active control of earthquake excited nonlinear base isolated buildings"‎, ‎Structural Control and Health Monitoring‎, ‎19‎, ‎3‎, ‎370-384‎.

[13] Sun D‎. ‎(2010)‎. ‎``Synchronization and control of multi-agent systems"‎, ‎CRC Press‎.

[14] Sun D.‎, ‎Mills J‎. ‎K‎. ‎(2002)‎. ‎``Adaptive synchronized control for coordination of multi-robot assembly tasks"‎, ‎IEEE Transactions on Robotics and Automation‎, ‎18‎, ‎4‎, ‎498–510‎.

[15] Sun D.‎, ‎Wang C‎. ‎(2007)‎. ‎``Controlling Swarms of Mobile Robots for Switching between Formations Using Synchronization Concept"‎, ‎IEEE International Conference on Robotics and Automation‎, ‎Roma‎, ‎Italy‎, ‎2300–2305‎.

[16] Zhou K.‎, ‎Doyle J‎. ‎C‎. ‎(1998)‎. ‎``Essentials of robust control"‎, ‎Upper Saddle River‎, ‎NJ‎, ‎Prentice hall‎.