Abstract
In this chapter, we consider the \(H_\infty \) optimal synthesis of digital PI and PID controllers. We present the computation of \(\mathcal {S}_\gamma \), the set of stabilizing digital PI or PID controllers for a given plant, satisfying an \(H_\infty \) norm bound of \(\gamma \) on the error transfer function.
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Reference
Han, S.: Robust and optimal PID controller synthesis for linear time invariant systems. Ph.D. Thesis, Texas A & M University (2019)
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Díaz-Rodríguez, I.D., Han, S., Bhattacharyya, S.P. (2019). \(H_\infty \) Optimal Synthesis for Discrete-Time Systems. In: Analytical Design of PID Controllers. Springer, Cham. https://doi.org/10.1007/978-3-030-18228-1_10
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DOI: https://doi.org/10.1007/978-3-030-18228-1_10
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-18227-4
Online ISBN: 978-3-030-18228-1
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