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Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2024

Delay-Difference Approximations of PD-Controllers. Improperly-posed Systems in Multiple Delays Case

Résumé

In this paper, we study the behavior of characteristic roots of a class of strictly proper LTI SISO systems that are subject to a PD controller for which the derivative action has been implemented by means of a delay-difference approximation scheme that uses multiple delays. To such an end, the improperly-posed case is discussed in depth, i.e. the situations where small delays induce instability in the closed-loop system. The effect of adding more delays on the improperly-posed case is analyzed and an algorithm for determining the set of parameters that produces such a situation for a given number of delays is derived. Some illustrative examples complete the presentation.
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Dates et versions

hal-04172009 , version 1 (15-01-2024)

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César‐fernando Méndez-Barrios, Juan‐diego Torres-García, Silviu‐iulian Niculescu. Delay-Difference Approximations of PD-Controllers. Improperly-posed Systems in Multiple Delays Case. International Journal of Robust and Nonlinear Control, 2024, ⟨10.1002/rnc.7217⟩. ⟨hal-04172009⟩
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