Abstract
The design methods presented in Chaps. 5 and 6 constitute what is now known as classical control. One of the features of classical control is that it relies on the so-called input–output approach, i.e., the use of a transfer function. This means that a transfer function is like a black box receiving an input and producing an output, i.e., nothing is known about what happens inside the black box. On the contrary, the state variable approach allows us to study what happens inside the system.
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Notes
- 1.
Some authors use the term antiparallel to indicate that two vectors have the same direction but the opposite sense. In this book, the term parallel is employed to designate two vectors with the same direction no matter what their senses are.
- 2.
Note that eA(t−τ) = eAr| r=t−τ .
References
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C. Ray Wylie, Advanced engineering mathematics, McGraw-Hill, 1975.
W. L. Brogan, Modern control theory, 3rd. edition, Prentice Hall, Upper Saddle River, 1991.
E. Kreyszig, Advanced engineering mathematics, Vol. 1, 3rd. edition, John Wiley and Sons, New Jersey, 1972.
M. R. Spiegel, Mathematical handbook of formulas and tables, McGraw-Hill, Schaum series, New York, 1974.
C.-T. Chen, Linear system theory and design, Oxford University Press, New York, 1999.
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Hernández-Guzmán, V.M., Silva-Ortigoza, R. (2019). The State Variables Approach. In: Automatic Control with Experiments. Advanced Textbooks in Control and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-75804-6_7
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