Scheduled Controllers for Buildings under Seismic Excitation with Limited Actuator Capacity
Publication: Journal of Engineering Mechanics
Volume 130, Issue 7
Abstract
A new class of scheduled controllers is presented for improving the response of seismic-excited buildings under actuators with limited capacity. The controller is scheduled based on the response of the system on-line, to take full advantage of the inevitably limited actuation. While the controller is nonlinear, the overall approach relies on a variety of techniques from linear designs, which makes it possible to generalize the approach to a variety of systems and control objectives. For example, sufficient conditions for feasibility of a feedback controller are expressed in terms of linear matrix inequalities, thus solvable with standard software. Both state feedback and observer-based controllers are discussed. Performance of the proposed technique is illustrated through simulations of a six-story building subject to earthquake ground motion.
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References
Boyd, S., El Ghaoui, L., Feron, E., and Balakrishnan, V. (1994). Linear matrix inequalities in system and control theory, SIAM Books, Philadelphia.
De Dona, J. A., Goodwin, G. C., and Moheimani, S. O. R.(2002). “Combining switching, over-saturation and scaling to optimize control performance in the presence of model uncertainty and input saturation.” Automatica, 38(7), 1153–1162.
Housner, G. W., et al. (1997). “Structural control: Past, present and future.” J. Eng. Mech., 123(9), 897–971.
Iwasaki, T., and Skelton, R. E.(1994). “All controllers for the general control problem: LMI existence conditions and state space formulas.” Automatica, 30(8), 1307–1317.
Jabbari, F.(1997). “Output feedback controllers for systems with structured uncertainty.” IEEE Trans. Autom. Control, 42(5), 715–719.
Jabbari, F., and Kose, I. E. (2004). “Rate and magnitude bounded actuators: Scheduled output feedback designs.” Int. J. Robust Nonlinear Control, in press.
Kim, J.-H., and Jabbari, F.(2002). “Actuator saturation and control design for buildings under seismic excitation.” J. Eng. Mech., 128(4), 403–412.
Kose, I. E., and Jabbari, F.(2003). “Scheduled controllers for linear systems with bounded actuators.” Automatica, 39(8), 1377–1387.
Nguyen, T., and Jabbari, F.(2000). “Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation.” Automatica, 36(9), 1339–1346.
Nguyen, T., Jabbari, F., and de Miguel, S.(1998). “Controller designs for seismic-excited buildings with bounded actuators.” J. Eng. Mech., 124(8), 857–865.
Soong, T. T. (1990). Active structural control: Theory and practice, Wiley, New York.
Soong, T. T., and Costantinou, M. C. (1994). Passive and active structural vibration control in civil engineering, Springer, New York.
Spencer, B. F., Dyke, S. J., and Deoskar, H. S.(1998). “Benchmark problems in structural control Part I: Active mass driver system; Part II: Active tendon systems.” Earthquake Eng. Struct. Dyn., 27, 1127–1147.
Spencer, B. F., and Sain, M. K.(1997). “Controlling buildings: A new frontier in feedback.” IEEE Control Syst. Mag., 17(6), 19–35.
Wu, J. C., Yang, J. N., and Agrawal, A. K.(1998). “Applications of sliding mode control to benchmark problems.” Earthquake Eng. Struct. Dyn., 27(11), 1247–1265.
Yang, J. N., Wu, J. C., Samali, B., and Agrawal, A. K. (1998). “A benchmark problem for response control of wind-excited tall buildings.” Proc., 2nd World Conf. Structural Control, Kyoto, Japan, 14007–1416.
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Information
Published In
Journal of Engineering Mechanics
Volume 130 • Issue 7 • July 2004
Pages: 800 - 808
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Jan 13, 2003
Accepted: Nov 13, 2003
Published online: Jun 15, 2004
Published in print: Jul 2004
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