Abstract
Consider the closed-loop system in Fig. 5.1.
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Notes
- 1.
Although the poles determine stability and transient response, zeros also have an effect on the final shape of the transient response (see Sect. 8.1, Chap. 8). This is the reason why the design based on the root locus is sometimes performed by trying to cancel one closed-loop pole with a closed-loop zero.
- 2.
If it is assumed that this pole and zero at s = 0 cancel each other out, then a nonzero steady-state deviation would exist and the problem would be worse.
- 3.
- 4.
It is left as an exercise for the reader to verify this fact.
- 5.
Again, it is left as an exercise for the reader to verify this fact.
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Hernández-Guzmán, V.M., Silva-Ortigoza, R. (2019). Time Response-Based Design. In: Automatic Control with Experiments. Advanced Textbooks in Control and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-75804-6_5
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