TECHNICAL PAPERS
Dec 1, 1995

Sliding Mode Control for Nonlinear and Hysteretic Structures

Publication: Journal of Engineering Mechanics
Volume 121, Issue 12

Abstract

Control methods based on the theory of variable structure system or sliding mode control are presented for applications to seismically excited nonlinear and hysteretic civil engineering structures. These control methods are robust with respect to parametric uncertainties of the structure. The controllers have no adverse effect should the actuator be saturated due to unexpected extreme earthquakes. Emphasis is placed on continuous sliding mode control methods that do not have possible chattering effects. Static output feedback controllers using only the measured information from a limited number of sensors installed at strategic locations are also presented. When a controller is installed in each story unit of a building, a complete compensation of the structural response can be achieved and the response state vector can be reduced to zero. Among the contributions of this paper are the establishment of saturated controllers and controllers for static output feedback. The robustness of the control methods, the applications of the static output controllers, and the control effectiveness in case of actuator saturation are all demonstrated by numerical simulation results. Simulation results indicate that the performance of the sliding mode control methods is remarkable.

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References

1.
Nagarajaiah, S., Riley, M. A., and Reinhorn, A. M.(1993). “Hybrid control of sliding isolated bridges.”J. Engrg. Mech., ASCE, 119(11), 2317–2332.
2.
Reinhorn, A. M., Soong, T. T., and Yen, C. Y.(1987). “Base isolated structures with active control.”Recent advances in design, analysis, testing and qualification methods. ASME, New York, N.Y., 127, 413–419.
3.
Reinhorn, A. M., Nagarajaiah, S., Subramanian, R., and Riley, M. (1993). “Study of hybrid systems for structural and nonstructural systems.”Proc., Int. Workshop on Struct. Control and Intelligent Systems, G. W. Housner and S. F. Masri, eds., Univ. of Southern California, Los Angeles, Calif., 405–416.
4.
Riley, M. A., Subramanian, R., Nagarajaiah, S., and Reinhorn, A. M. (1993). “Hybrid control of sliding base-isolated structures.”Proc., ATC-17-1 Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control, Applied Technology Council, Calif. 799–810.
5.
Soong, T. T. (1990). Active structural control: theory and application . Longman Scientific and Technical, New York, N.Y.
6.
Spencer, B. F., Suhardjo, J., and Sain, M. K. (1992). “Nonlinear optimal control of a duffing system.”Int. J. Nonlinear Mech., 27(2), 157–172.
7.
Suhardjo, J., Spencer, B. F., Sain, M. K., and Tomasula, D. (1992). “Nonlinear control of a tension leg platform.”Innovative long span structures. IASS-CSCE Congress, Toronto, Canada, 416–474.
8.
Utkin, V. I. (1992). Sliding modes in control optimization, Springer-Verlag, New York, N.Y.
9.
Yang, J. N., Li, Z., and Vongchavalitkul, S. (1992a). “A generalization of optimal control theory: linear and nonlinear control.”Tech. Rep. NCEER-92-0026, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo.
10.
Yang, J. N., Li, Z., and Liu, S. C.(1992b). “Stable controllers for instantaneous optimal control.”J. Engrg. Mech., ASCE, 118(8), 1612–1630.
11.
Yang, J. N., Li, Z., Wu, J. C., and Young, K. D. (1993a). “A discontinuous control method for civil engineering structures.”Dynamics and control of large structures, L. Meirovitch, ed., Proc., 9th VPI & SU Symp. on Dynamics and Control of Large Struct., Blacksburg, Va., 167–180.
12.
Yang, J. N., Li, Z., and Wu, J. C. (1993b). “Discontinuous nonlinear control of base-isolated buildings.”Proc., Int. Workshop on Struct. Control, G. W. Housner and S. F. Masri, eds., Univ. of Southern California, Los Angeles, 551–563.
13.
Yang, J. N., Li, Z., Wu, J. C., Kawashima, K., and Unjoh, S. (1994a). “Hybrid protective systems for seismic-excited bridges.”Proc., 3rd US-Japan Workshop on Protective Systems for Bridges, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo, 3-65–3-79.
14.
Yang, J. N., Li, Z., and Vongchavalitkul, S.(1994b). “A generalization of optimal control theory: linear and nonlinear control.”J. Engrg. Mech., ASCE, 120(2), 266–283.
15.
Yang, J. N., Li, Z., Wu, J. C., and Hsu, I. R.(1994c). “Dynamic linearization for sliding isolated buildings.”J. Engrg. Struct., 16(6), 437–444.
16.
Yang, J. N., Wu, J. C., and Hsu, S. Y. (1994d). “Parametric control of seismic-excited structures.”Proc., First World Conf. on Struct. Control, Int. Assoc. for Struct. Control, Los Angeles, Calif., WP1-88–WP1-97.
17.
Yang, J. N., Wu, J. C., Agrawal, A. K., and Li, Z. (1994e). “Sliding mode control for seismic-excited linear and nonlinear civil engineering structures.”Tech. Rep. NCEER-94-0017, Nat. Ctr. for Earthquake Engrg. Res., State Univ. of New York, Buffalo.
18.
Yang, J. N., Wu, J. C., and Agrawal, A. K.(1995). “Sliding mode control for seismically excited linear structures.”J. Engrg. Mech., ASCE, 121(12), 1386–1390.
19.
Young, K. D., ed. (1993). Variable structure control for robotics and aerospace applications . Elsevier, New York, N.Y.
20.
Zhou, F., and Fisher, D. G.(1992). “Continuous sliding mode control.”Int. J. Control, 55(2), 313–327.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 121Issue 12December 1995
Pages: 1330 - 1339

History

Published online: Dec 1, 1995
Published in print: Dec 1995

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Authors

Affiliations

J. N. Yang, Fellow, ASCE
Prof., Dept. of Civ. Engrg., Univ. of California, Irvine, CA 92717.
J. C. Wu
Grad. Student, Dept. of Civ. Engrg., Univ. of California, Irvine, CA.
A. K. Agrawal
Grad. Student, Dept. of Civ. Engrg., Univ. of California, Irvine, CA.

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