Abstract
This chapter introduces advance topics in structural control theory. We re-explain certain theoretical topics in a more rigorous way to provide sufficient background for discussing some of the more recent control algorithms, based on performance measures that are different from the classical quadratic measure. Again, our intention is to provide an introduction to control theory for structural engineers so that they can, if they wish, pursue the topic in more depth. We also introduce nonlinear control theory. The design of nonlinear controllers is deemed more appropriate for establishing control rules for semi-active devices, since they inherently introduce nonlinearities in the system. This chapter concludes with three semi-active control examples, which are intended to illustrate how linear and nonlinear control rules for semi-active and hybrid structural control systems are implemented.
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Bibliography
Adhikari, R., & Yamaguchi, H. (1997). Sliding mode control of buildings with ATMD. Earthquake Engineering & Structural Dynamics, 26(4), 409–422.
Bélanger, P. (1995). Control engineering: a modern approach. Oxford: Oxford University Press.
Doyle, J., Francis, B., & Tannenbaum, A. (1992). Feedback control theory, vol. 1. New York: Macmillan Publishing.
Ha, Q., Kwok, N., Nguyen, M., Li, J., & Samali, B. (2008). Mitigation of seismic responses on building structures using MR dampers with Lyapunov-based control. Structural Control and Health Monitoring, 15(4), 604–621.
Ogata, K. (1997), Modern control engineering (3rd ed.) Prentice-Hall.
Slotine, J., & Coetsee, J. (1986). Adaptive sliding controller synthesis for non-linear systems. International Journal of Control, 43(6), 1631–1651.
Wu, W., Cai, C., & Chen, S. (2004). Experiments on reduction of cable vibration using MR dampers. In Proceedings of 17th ASCE Engineering Mechanics Conference.
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Connor, J., Laflamme, S. (2014). Advanced Control Theory. In: Structural Motion Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-06281-5_10
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DOI: https://doi.org/10.1007/978-3-319-06281-5_10
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