Abstract
In this chapter the elements and the basic concepts of computer-controlled systems will be presented. The discretization and choice of sampling frequency will be first examined, followed by a brief review of discrete-time models.
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Notes
- 1.
Modern control design techniques use “model based control design”.
- 2.
Numerous examples show that by using this approach, the sampling frequency can be reduced with respect to the previous approach.
- 3.
Temporarily in this section t designates the continuous time and k the normalized sampling time (\(k= \frac{time}{T_s}\)). Starting from Sect. 3.1.3 the normalized discrete time will be denoted by t.
- 4.
ZOH keeps constant the signal delivered by the D/A converter between two sampling instants.
- 5.
In many cases, the argument \(q^{-1}\) will be dropped out, to simplify the notations.
- 6.
The order of the system will be in general estimated from input/output data.
References
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Franklin GF, Powell JD, Workman ML (1998) Digital control of dynamic systems, vol 3. Addison-Wesley, Menlo Park
Ogata K (1987) Discrete-time control systems, 1st edn. Prentice Hall, New Jersey
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Landau, I.D., Airimitoaie, TB., Castellanos-Silva, A., Constantinescu, A. (2017). Active Vibration Control Systems—Model Representation. In: Adaptive and Robust Active Vibration Control. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-41450-8_3
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DOI: https://doi.org/10.1007/978-3-319-41450-8_3
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