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Optimal PD/PID control of smart base isolated buildings equipped with piezoelectric friction dampers

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Abstract

Long-period pulses in near-field earthquakes lead to large displacements in the base of isolated structures. To dissipate energy in isolated structures using semi-active control, piezoelectric friction dampers (PFD) can be employed. The performance of a PFD is highly dependent on the strategy applied to adjust its contact force. In this paper, the seismic control of a benchmark isolated building equipped with PFD using PD/PID controllers is developed. Using genetic algorithms, these controllers are optimized to create a balance between the performance and robustness of the closed-loop structural system. One advantage of this technique is that the controller forces can easily be estimated. In addition, the structure is equipped with only a single sensor at the base floor to measure the base displacement. Considering seven pairs of earthquakes and nine performance indices, the performance of the closed-loop system is evaluated. Then, the results are compared with those given by two well-known methods: the maximum possive operation of piezoelectric friction dampers and LQG controllers. The simulation results show that the proposed controllers perform better than the others in terms of simultaneous reduction of floor acceleration and maximum displacement of the isolator. Moreover, they are able to reduce the displacement of the isolator systems for different earthquakes without losing the advantages of isolation.

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References

  • Agrawal A and Xu Z (2004), “A Novel Active Controller Design Based on H2-LQG Algorithm with Pulse Filters” Proceedings of the 4th International Workshop on Structural Control and Health Monitoring, Columbia University, 10–11 June.

    Google Scholar 

  • Astrom KJ and Hagglund T (1995), PID Controllers: Theory, Design and Tuning, ISA, and Research Triangle, Par, NC.

    Google Scholar 

  • Chen G and Chen C (2000), “Behavior of Piezoelectric Friction Dampers under Dynamic Loading,” Proc SPIE 2000; 3988:54–63.

    Article  Google Scholar 

  • Chen G and Chen C (2004), “Semi-active Control of the 20-Story Benchmark Building with Piezoelectric Friction Dampers,” Journal of Engineering Mechanics, ASCE, 130(4): 393–400.

    Article  Google Scholar 

  • Cherry S and Filiatrault A (1993), “Seismic Response Control of Buildings Using Friction Dampers,” Earthquake Spectra, 9(3): 447–466.

    Article  Google Scholar 

  • Colajanni P and Papia M (1997), “Hysteretic Characterization of Friction-damped Braced Frames,” Journal of Structural Engineering, 123(8): 1020–1028.

    Article  Google Scholar 

  • Deb K (2001), Multi-objective Optimization Using Evolutionary Algorithms, John Wiley & Sons, UK.

    Google Scholar 

  • Fonseca CMM (1995), Multiobjective Genetic Algorithms with Application to Control Engineering Problem, PhD Thesis, University of Sheffield, UK.

    Google Scholar 

  • Fung RF, Liu YT and Wang CC (2005), “Dynamic Model of an Electromagnetic Actuator for Vibration Control of a Cantilever Beam with a Tip Mass,” Journal of Sound and Vibration, 288: 957–980.

    Article  Google Scholar 

  • Gaul L and Lenz J (1997), “Nonlinear Dynamics of Structures Assembled by Bolted Joints,” Acta Mechanica, 125: 169–181.

    Article  Google Scholar 

  • Gaul L and Nitsche R (2001), “The Role of Friction in Mechanical Joints,” Applied Mechanics Reviews, 54(2): 93–106.

    Article  Google Scholar 

  • Guclu R (2003), “Fuzzy-logic Control of Vibrations of Analytical ulti-degree-of-freedomStructural Systems,” Turk. J. Eng. Environ. Sci, 27(3): 157–167.

    Google Scholar 

  • Guclu R (2006), “Sliding Mode and PID Control of a Structural System Against Earthquake,” Mathematical and Computer Modeling, 44: 210–217.

    Article  Google Scholar 

  • Guclu R and Yazici H (2007), “Fuzzy-logic Control of a Non-linear Structural System Against Earthquake Induced Vibration,” Journal Vibration Control, 13(11), 1535-1555.

    Google Scholar 

  • Guclu R and Yazici H (2009), “Seismic-vibration Mitigation of a Nonlinear Structural System with an ATMD Through a Fuzzy PID Controller,” Nonlinear Dynamic, 58: 553–564.

    Article  Google Scholar 

  • He WL, Agrawal AK and Yang JN (2003), “Novel Semi-Active Friction Controller for Linear Structures Against Earthquakes,” Journal of Structural Engineering, 129(7): 941–950.

    Article  Google Scholar 

  • Johnson EA, Ramallo JC, Spencer Jr BF and Sain MK (1998), “Intelligent Base Isolation Systems,” Proceedings of Second World Conference on Structural Control, Kyoto, Japan, June 1998, John Wiley & Sons, 1: 367-376

    Google Scholar 

  • Jung HJ, Choi KM, Spencer Jr BF and Lee IW (2006), “Application of Some Semi-active Control Algorithms to a Smart Base-isolated Building Employing MR Dampers,” Structural Control and Health Monitoring, 13: 693–704.

    Article  Google Scholar 

  • Jung WJ, Jeong WB, Hong SR and Choi SB (2004), “Vibration Control of a Flexible Beam Structure Using Squeeze-mode ER Mount,” Journal of Sound and Vibration, 273: 185–199.

    Article  Google Scholar 

  • Lee HJ, Yang G, Jung HJ, Spencer Jr BF and Lee IW (2006), “Semi-active Neurocontrol of a Base-isolated Benchmark Structure,” Structural Control and Health Monitoring, 13: 682–692.

    Article  Google Scholar 

  • Li J, Li H and Song G (2004), “Semi-active Vibration Suppression Using Piezoelectric Friction Dampers Based on Sub-optimal Bang-bang Control Laws,” 3rd China-Japan-US sym on struct health monitoring and control.

    Google Scholar 

  • Li H and Ou J (2006), “A Design Approaches for Semiactive and Smart Base-isolated Buildings,” Structural Control and Health Monitoring, 13: 660–681.

    Article  Google Scholar 

  • Lu LY, Chung LL and Lin GL (2004), “A General Method for Semi-active Feedback Control of Variable Friction Dampers,” Journal of Intelligent Material Systems and Structures, 15(5): 393–412.

    Article  Google Scholar 

  • Lu LY and Lin GL (2008), “Predictive Control of Smart Isolation System for Precision Equipment Subjected to Near-fault Earthquakes,” Engineering Structures, 30(11): 3045–3064.

    Article  Google Scholar 

  • Lu LY and Lin GL (2009), “A Theoretical Study on Piezoelectric Smart Isolation System for Seismic Protection of Equipment in Near-fault Areas,” Journal of Intelligent Material Systems and Structures, 20(2): 217–232.

    Article  Google Scholar 

  • Lu LY, Lin GL and Kuo TC (2008), “Stiffness Controllable Isolation System for Near-fault Seismic Isolation,” Engineering Structures, 30(3): 747–765.

    Article  Google Scholar 

  • Lu LY, Lin GL and Lin CY (2011), “Experimental Verification of a Piezoelectric Smart Isolation System,” Structural Control and Health Monitoring, 18: 869–889.

    Article  Google Scholar 

  • Lu LY, Lin CC, Lin GL and Lin CY (2010), “Experiment and Analysis of a Fuzzy-controlled Piezoelectric Seismic Isolation System,” Journal of Sound and Vibration, 329(11): 1992–2014.

    Article  Google Scholar 

  • Morita K, Fujita T, Ise S, Kawaguchi K, Kamada T and Fujitani H (2001), “Development and Application of Induced Strain Actuators for Building Structures,” Proc SPIE 2001, 4330: 426–437.

    Article  Google Scholar 

  • Mualla IH and Belev B (2002), “Performance of Steel Frames with a New Friction Damper Device under Earthquake Excitation,” Engineering Structures, 24(3): 365–371.

    Article  Google Scholar 

  • Naeim F and Kelly JM (1999), Design of Seismic Isolated Structures from Theory to Practice, John Wiley & Sons, 2nd Edition.

    Book  Google Scholar 

  • Nagarajaiah S and Narasimhan S (2007), “Seismic Control of Smart Base Isolated Buildings with New Semi-active Variable Damper,” Earthquake Engineering and Structural Dynamics, 36: 729–749.

    Article  Google Scholar 

  • Nagarajaiah S and Saharabudhe S (2006), “Seismic Response Control of Smart Sliding Isolated Buildings Using Variable Stiffness Systems: Experimental and Numerical Study,” Earthquake Engineering and Structural Dynamics, 35(2): 177–197.

    Article  Google Scholar 

  • Nagarajaiah S and Narasimhan S (2006), “Smart Baseisolated Benchmark Building Part II: Phase I, Sample Controllers for Linear and Friction Isolation,” Structural Control and Health Monitoring, 13: 589–604.

    Article  Google Scholar 

  • Narasimhan S and Nagarajaiah S (2005), “A STFT Semi-active Controller for Base Isolated Buildings with Variable Stiffness Isolation Systems,” Engineering Structures, 27(4): 514–523.

    Article  Google Scholar 

  • Narasimhan S, Nagarajaiah S, Johnson EA and Gavin HP (2006), “Smart Base-isolated Benchmark Building Part I: Problem Definition,” Structural Control and Health Monitoring, 13: 573–588.

    Article  Google Scholar 

  • Ozbulut OE and Hurlebaus S (2010), “Fuzzy Control of Piezoelectric Friction Dampers for Seismic Protection of Smart Base Isolated Buildings,” Bull. Earthquake Eng., 8: 1435–1455.

    Article  Google Scholar 

  • Panda RC, Yu CC and Huang HP (2004), “PID Tuning Rules for SOPDT Systems: Review and Some New Results,” ISA Transactions, 43: 283–295.

    Article  Google Scholar 

  • Ribakov Y (2010), “Reduction of Structural Response to Near Fault Earthquakes by Seismic Isolation Columns and Variable Friction Dampers,” Earthquake Engineering and Engineering Vibration, 9(1): 113–122.

    Article  Google Scholar 

  • Saharabudhe S and Nagarajaiah S (2005a), “Effectiveness of Variable Stiffness Systems in Base Isolated Bridges Subjected to Near fault Earthquakes: Experimental study,” International Journal of Intelligent Material Systems and Structures, 16(9): 743–756.

    Article  Google Scholar 

  • Sahasrabudhe S and Nagarajaiah S (2005b), “Semiactive Control of Sliding Isolated Bridges Using MR Dampers: an Experimental and Numerical Study,” Earthquake Engineering and Structural Dynamics, 34(8):965–983.

    Article  Google Scholar 

  • Shen Y, Homaifar A and Chen D (2000), “Vibration Control of Flexible Structures Using Fuzzy Logic and Genetic Algorithms,” American Control Conference, 2000. Proceedings of the 2000, Chicago, IL, USA, 1: 448–452.

    Google Scholar 

  • Skinner RI, Robinson WH and McVerry GH (1993), An Introduction to Base Isolation, John, Wiley & Sons Ltd., Chichester, England.

    Google Scholar 

  • Skogestad S (2004), “Simple Analytic Rules for Model Reduction and PID Controller Tuning,” Modeling, Identification and Control, 25(2): 85–120.

    Article  Google Scholar 

  • Song G, Sethi V and Li HN (2006), “Vibration Control of Civil Structures Using Piezoceramic Smart Materials: A Review,” Engineering Structures, 28(11):1513–1524.

    Article  Google Scholar 

  • Soong TT and Constantinou MC (1994), Passive and Active Structural Vibration Control in Civil Engineering, Springer-verlag: Vienna and New York.

    Google Scholar 

  • Spencer Jr BF, Dyke SJ, Sain MK and Carlson JD (1997), “Phenomenological Model for Magnetorheological dampers,” Journal of Engineering Mechanics, ASCE, 123(3): 230–238.

    Article  Google Scholar 

  • Tavakoli S (2005) “Multivariable PID Control with Application to Gas Turbine Engines,” PhD Thesis, University of Sheffield, UK.

    Google Scholar 

  • Tavakoli S and Fleming PJ (2003), “Optimal Tuning of PI Controllers for First Order Plus Dead Time/Long Dead Time Models Using Dimensional Analysis,” Proc. of European Control Conference, UK.

    Google Scholar 

  • Tavakoli S, Griffin I and Fleming PJ (2005), “Robust PI Controller for Load Disturbance Rejection and Setpoint Regulation,” Proceedings of the2005 IEEE Conference on Control Applications, Toronto, Canada, August 2005, 28–31.

    Google Scholar 

  • Tavakoli S, Griffin I and Fleming PJ (2006), “Tuning of Decentralized PI (PID) Controllers for TITO Processes,” Control Engineering Practice, 14: 1069–1080.

    Article  Google Scholar 

  • Xu YL and Ng CL (2008), “Seismic Protection of a Building Complex Using Variable Friction Damper: Experimental Investigation,” Journal of Engineering Mechanics, ASCE, 134(8): 637–649.

    Article  Google Scholar 

  • Yang JN and Agrawal AK (2002), “Semi-active Hybrid Control Systems for Nonlinear Building Against Near-Fault Earthquakes,” Engineering Structures, 24(3): 271–280.

    Article  Google Scholar 

  • Yoshioka H, Ramallo JC and Spencer Jr BF (2002), “Smart Base Isolation Strategies Employing Magnetorheological Dampers,” Journal of Engineering Mechanics, ASCE, 128(5): 540–551.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan, Zahedan, Iran

    Sadegh Etedali & Mohammad Reza Sohrabi

  2. Faculty of Electrical and Computer Engineering, University of Sistan and Baluchestan, Zahedan, Iran

    Saeed Tavakoli

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  1. Sadegh Etedali
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  2. Mohammad Reza Sohrabi
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  3. Saeed Tavakoli
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Correspondence to Saeed Tavakoli.

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Etedali, S., Sohrabi, M.R. & Tavakoli, S. Optimal PD/PID control of smart base isolated buildings equipped with piezoelectric friction dampers. Earthq. Eng. Eng. Vib. 12, 39–54 (2013). https://doi.org/10.1007/s11803-013-0150-8

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  • DOI: https://doi.org/10.1007/s11803-013-0150-8

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