Abstract
This paper aims at designing an adaptive fractional order fuzzy proportional–integral-derivative controller for seismic control of smart base-isolated structure by means of variable friction dampers (VFD). One main challenge occurs when large displacement of the isolator happens due to near-field motions. To overcome this challenge, a solution is to use VFDs. However, the floor accelerations of the superstructure can increase because of sudden changes in the damper friction force of VFDs. Therefore, a suitable control strategy is desired to handle the displacement of isolator without any increase in superstructure acceleration responses during both far-field and near-field earthquakes. First, a sub-level fractional order fuzzy PID (FOFPID) controller is designed to reduce the isolator displacement without significant increase in roof acceleration based on a multi-objective optimization algorithm. Using an adaptive strategy, the fuzzy rule weights of the FOFPID controller are then tuned on-line based on information sensed from both the earthquake and the building responses. Considering nine important performance criteria and several real-data earthquakes, numerical studies are carried out for a benchmark base-isolated structure equipped with VFDs. Simulation results show the superior performance of the proposed controller in mitigation of seismic responses of base-isolated structure against various types of earthquakes in comparison with other controllers presented in previous researches.
Similar content being viewed by others
References
Amini F, Mohajeri SA, Javanbakht M (2015) Semi-active control of isolated and damaged structures using online damage detection. Smart Mater Struct 24(10):105002
Arya Y, Kumar N (2016) BFOA-scaled fractional order fuzzy PID controller applied to AGC of multi-area multi-source electric power generating systems. Swarm Evolut Comput 32:202–218
Chen C, Chen G (2004) Shake table tests of a quarter-scale three-story building model with piezoelectric friction dampers. Struct Control Health Monit 11(4):239–257
Das S, Pan I, Das S, Gupta A (2012) A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices. Eng Appl Artif Intell 25(2):430–442
Etedali S, Sohrabi MR, Tavakoli S (2013) Optimal PD/PID control of smart base isolated buildings equipped with piezoelectric friction dampers. Earthq Eng Eng Vib 12:39–54
Gad S, Metered H, Bassuiny A, Abdel Ghany AM (2017) Multi-objective genetic algorithm fractional-order PID controller for semi-active magnetorheologically damped seat suspension. J Vib Control 23(8):1248–1266
Guclu R (2003) Fuzzy-logic control of vibrations of analytical multi-degree-of-freedom structural systems. Turk J Eng Environ Sci 27(3):157–167
Guclu R, Yazici H (2009) Seismic-vibration mitigation of a nonlinear structural system with an ATMD through a fuzzy PID controller. Nonlinear Dyn 58(3):553–564
Johnson EA, Ramallo JC, Spencer BF, Sain MK (1998) Intelligent base isolation systems. In: Proceedings second world conference on structural control, Kyoto, Japan, Wiley, New York, vol 1, pp 367–376
Karasakal O, Guzelkaya M, Eksin I, Yesil E, Kumbasar T (2013) Online tuning of fuzzy PID controllers via rule weighing based on normalized acceleration. Eng Appl Artif Intell 26(1):184–197
Koo B, Kwon W, Won S (2015) Active vibration control of a strip in a continuous galvanizing line using PIλDμ-type fractional-order PID controller. In: SICE annual conference 2015 July 28–30, Hangzhou, China
Lu LY, Lin GL (2009) A theoretical study on piezoelectric smart isolation system for seismic protection of equipment in near-fault areas. J Intell Mater Syst Struct 20(2):217–232
Lu LY, Lin CC, Lin GL, Lin CY (2010) Experiment and analysis of a fuzzy-controlled piezoelectric seismic isolation system. J Sound Vib 329(11):1992–2014
Mishra P, Kumar V, Rana KPS (2015) A fractional order fuzzy PID controller for binary distillation column control. Expert Syst Appl 42(22):8533–8549
Nagarajaiah S, Narasimhan S (2006) Smart base-isolated benchmark building part II: phase I, sample controllers for linear and friction isolation. Struct Control Health Monit 13(2–3):589–604
Narasimhan S, Nagarajaiah S, Johnson EA, Gavin HP (2006) Smart base-isolated benchmark building part I: problem definition. Struct Control Health Monit 13(2–3):573–588
Nauck D, Kruse R (1998) How the learning of rule weights affects the interpretability of fuzzy systems. The 1998 IEEE international conference on fuzzy systems proceedings IEEE world congress on computational intelligence. pp 1235–1240
Nigdeli SM, Boduroğlu MH (2013) Active tendon control of torsionally irregular structures under near-fault ground motion excitation. Comput-Aided Civil Infrastruct Eng 28(9):718–736
Oustaloup A, Levron F, Mathieu B, Nanot FM (2000) Frequency-band complex noninteger differentiator: characterization and synthesis. IEEE Trans Circuits Syst I: Fundam Theory Appl 47(1):25–39
Ozbulut OE, Hurlebaus S (2010) Fuzzy control of piezoelectric friction dampers for seismic protection of smart base isolated buildings. Bull Earthq Eng 8:1435–1455
Ozbulut OE, Bitaraf M, Hurlebaus S (2011) Adaptive control of base-isolated structures against near-field earthquakes using variable friction dampers. Eng Struct 33(12):3143–3154
Rajabioun R (2011) Cuckoo optimization algorithm. Appl Soft Comput 11:5508–5518
Sharma R, Rana KPS, Kumar V (2014) Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator. Expert Syst Appl 41(9):4274–4289
Song G, Sethi V, Li HN (2006) Vibration control of civil structures using piezoceramic smart materials: a review. Eng Struct 28(11):1513–1524
Yang XS, Deb S (2009) Cuckoo search via Lévy flights. In: The world congress on nature and biologically inspired computing (NaBIC), pp 210–214
Yang XS, Deb S (2013) Multi objective cuckoo search for design optimization. Comput Oper Res 40:1616–1624
Zamani AA, Tavakoli S, Etedali S (2017) Control of piezoelectric friction dampers in smart base-isolated structures using self-tuning and adaptive fuzzy proportional–derivative controllers. J Intell Mater Syst Struct 28(10):1287–1302
Zhao D, Li Y (2015) Fuzzy control for seismic protection of semiactive base-isolated structures subjected to near-fault earthquakes. Math Problems Eng. https://doi.org/10.1155/2015/675698
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zamani, AA., Tavakoli, S., Etedali, S. et al. Online tuning of fractional order fuzzy PID controller in smart seismic isolated structures. Bull Earthquake Eng 16, 3153–3170 (2018). https://doi.org/10.1007/s10518-017-0294-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-017-0294-4