Multiobjective Optimal Structural Vibration Control Using Fuzzy Logic Control System
Publication: Journal of Structural Engineering
Volume 127, Issue 11
Abstract
Fuzzy logic control systems have been applied as an effective control system in various fields, including vibration control of structures. The advantage of this approach is its inherent robustness and ability to handle nonlinearities and uncertainties in structural behavior and loading. In this paper, the design of a multiobjective optimal fuzzy logic controller (FLC) for seismically excited building structures has been discussed. Acceleration and velocity information have been used as feedback to the FLC. Minimization of the peak acceleration and displacement response of the structure, nondimensionalized by an uncontrolled peak acceleration and displacement response, respectively, have been used as the two objectives. A two-branch tournament genetic algorithm has been used to find a set of Pareto-optimal solutions. The proposed multiobjective optimal FLC has been verified on a benchmark problem, namely, a “scaled model of a three-story building with an active mass driver system,” and the results have been compared with the results from other control methods reported in the literature. It has been shown that the use of acceleration information, in addition to velocity as a feedback for the FLC, results in better structural performance.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Adhikari, R., Yamaguchi, H., and Yamazaki, T. ( 1998). “Modal space sliding-mode control of structures.” Earthquake Engrg. and Struct. Dyn., 27(11), 1303–1314.
2.
Battaini, M., Casciati, F., and Faravelli, L. ( 1998). “Fuzzy control of structural vibration. An active mass system driven by fuzzy controller.” Earthquake Engrg. and Struct. Dyn., 27(11), 1267–1276.
3.
Breneman, S. E., and Smith, H. A. ( 1998). “Design of H∞ output feedback controllers for the AMD benchmark problem.” Earthquake Engrg. and Struct. Dyn., 27(11), 1277–1289.
4.
Casciati, F. ( 1997). “Checking the stability of a fuzzy controller for nonlinear structures.” Microcomputers Civ. Engrg., 12, 205–215.
5.
Crossley, W. A., Cook, A. M., and Fanjoy, D. W. ( 1999). “Using two branch tournament genetic algorithm for multiobjective design.” J. AIAA, 37(2), 261–267.
6.
Fonseca, C. M., and Fleming, P. J. ( 1995). “An overview of evolutionary algorithms in multiobjective optimization.” Evolutionary Computations, 3(1), 1–16.
7.
Goldberg, D. E. ( 1989). Genetic algorithms in search, optimization and machine learning, Addison-Wesley, Reading, Mass.
8.
Grefenstette, J. J. ( 1996). “Optimization of control parameters for genetic algorithms.” IEEE Trans. on Sys., Man and Cybernetics, 16(1), 122–128.
9.
Holland, J. H. ( 1992). Adaptation in natural and artificial systems, MIT Press, Cambridge, Mass.
10.
Housner, G. W., et al. (1997). “Structural control: Past, present, and future.”J. Engrg. Mech., ASCE, 123(9), 897–971.
11.
Joghataie, A., and Ghaboussi, J. ( 1994). “Neural network and fuzzy logic in structural control.” Proc., 1st World Conf. on Struct. Control, Vol. 1, Pasadena, Calif., 21–30.
12.
Kim, Y., and Ghaboussi, J. ( 1999). “A new method of reduced order feedback control using genetic algorithms.” Earthquake Engrg. and Struct. Dyn., 28, 235–254.
13.
Kose, I. E., Jabbari, F., Schmitendorf, W. E., and Yang, J. N. ( 1998). “Controllers for quadratic stability and performance of a benchmark problem.” Earthquake Engrg. and Struct. Dyn., 27(11), 1385–1397.
14.
Lee, C. C. ( 1990a). “Fuzzy logic in control system: Fuzzy logic controller. Part I.” IEEE Trans. on Sys., Man and Cybernetics, 20(2), 404–418.
15.
Lee, C. C. ( 1990b). “Fuzzy logic in control system: Fuzzy logic controller. Part II.” IEEE Trans. on Sys., Man and Cybernetics, 20(2), 419–435.
16.
Liba, M., Fuzitani, H., Kitagawa, Y., Midorikawa, M., Kawamura, H., and Mochio, T. ( 1994). “Shaking table test on seismic response control system by fuzzy optimal logic.” Proc., 1st World Conf. on Struct. Control, Vol. 1, Pasadena, Calif., 69–77.
17.
Lu, J., and Skelton, R. R. ( 1998). “Covariance control using closed loop modelling for structures.” Earthquake Engrg. and Struct. Dyn., 27(11), 1367–1383.
18.
MATLAB, Version 5.3.0.10183. (1999). The MathWorks, Inc., Natick, Mass.
19.
May, B. S., and Beck, J. L. ( 1998). “Probabilistic control for the active mass driver benchmark structural model.” Earthquake Engrg. and Struct. Dyn., 27(11), 1331–1346.
20.
Michalewicz. ( 1996). Genetic algorithms + datastructures = evolution program, Springer, Berlin.
21.
Nguyen, H. T., Sugeno, M., Tong, R. M., and Yager, R. R., eds. ( 1995). Theoretical aspects of fuzzy control, Wiley, New York.
22.
SIMULINK, version 3.0. (1998). The MathWorks, Inc., Natick, Mass.
23.
Soong, T. T. ( 1990). Active structural control: Theory and practice, Longman Scientific and Technical, Essex, England.
24.
Spencer, B. F., Jr. Dyke, S. J., and Deoskar, H. S. ( 1998). “Benchmark problem in structural control, part I: Active mass driver system.” Earthquake Engrg. and Struct. Dyn., 27(11), 1127–1139.
25.
Subramaniam, R. S., Reinhorn, A. M., Riley, M. A., and Nagarajaiah, S. ( 1996). “Hybrid control of structures using fuzzy logic.” Microcomputers Civ. Engrg., 11, 1–17.
26.
Symans, M. D., and Kelly, S. W. ( 1999). “Fuzzy logic control of bridge structures using intelligent semi-active seismic isolation systems.” Earthquake Engrg. and Struct. Dyn., 28(1), 37–60.
27.
Williams, E. A., and Crossley, W. A. ( 1998). “Empirically-derived population size and mutation rate guidelines for an algorithm with uniform crossover.” Soft computing in engineering design and manufacturing, P. K. Chawdhry, R. Roy, and R. K. Pant, eds., Springer, Berlin, 163–172.
28.
Young, P. M., and Bienkiewicz, B. ( 1998). “Robust controller design for the active mass driver benchmark problem.” Earthquake Engrg. and Struct. Dyn., 27(11), 1149–1164.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 127 • Issue 11 • November 2001
Pages: 1330 - 1337
History
Received: May 8, 2000
Published online: Nov 1, 2001
Published in print: Nov 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.