Abstract
In this chapter, we first consider the problem of stabilizing a first-order plant with dead time using a constant gain controller. Using a version of the Hermite-Biehler Theorem applicable to quasipolynomials, a complete analytical characterization of all stabilizing gain values is provided as a closed form solution. A similar approach is then used to tackle the problem of stabilizing a first-order plant with time delay using a PI controller.
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Notes and References
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© 2000 Springer-Verlag London
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Datta, A., Ho, MT., Bhattacharyya, S.P. (2000). Stabilization of First-order Systems with Time Delay. In: Structure and Synthesis of PID Controllers. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-3651-4_7
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DOI: https://doi.org/10.1007/978-1-4471-3651-4_7
Publisher Name: Springer, London
Print ISBN: 978-1-84996-889-8
Online ISBN: 978-1-4471-3651-4
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