Abstract
This chapter begins with a brief introduction of the motivations of the book, a review of the detrimental effect of vibrations on systems, and of the field of SMART materials and structures. This is followed by a discussion of the broad classes of control strategies, namely feedback and feedforward. Next follows a discussion of the various steps of design, the plant description, the error budget, and control budget. The chapter ends with a discussion of the inversion of a rectangular matrix with singular value decomposition (including Tikhonov regularization). The chapter concludes with a reference list.
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- 1.
Moore’s law on the number of transistors on an integrated circuit could not hold without a constant improvement of the accuracy of wafer steppers and other precision machines [9].
- 2.
The superelastic behavior of SMA may be exploited to achieve damping, for low frequency and low cycle applications, such as earthquake protection.
References
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General literature on control of flexible structures
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Sparks DW Jr, Juang JN (1992) Survey of experiments and experimental facilities for control of flexible structures. AIAA J Guid Control Dyn 15(4):801–816
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Preumont, A. (2018). Introduction. In: Vibration Control of Active Structures. Solid Mechanics and Its Applications, vol 246. Springer, Cham. https://doi.org/10.1007/978-3-319-72296-2_1
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DOI: https://doi.org/10.1007/978-3-319-72296-2_1
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