Abstract
In this chapter we utilize the Generalized Hermite-Biehler Theorem to give a solution to the problem of feedback stabilization of a given linear time-invariant (LTI) plant by a PID controller. The solution so obtained gives a constructive condition for existence and also characterizes the entire family of stabilizing controllers in terms of a linear programming (LP) problem. Some applications of this characterization are also discussed.
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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 Linear Time-invariant Plants Using PID Controllers. In: Structure and Synthesis of PID Controllers. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-3651-4_4
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DOI: https://doi.org/10.1007/978-1-4471-3651-4_4
Publisher Name: Springer, London
Print ISBN: 978-1-84996-889-8
Online ISBN: 978-1-4471-3651-4
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