Robust stabilizing first-order controllers for a class of time delay systems |
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Authors: | Karim Saadaoui Sana Testouri |
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Affiliation: | Unité de Recherche LARA-Automatique, Ecole Nationale d’Ingénieurs de Tunis, BP 37, le Belvédère 1002, Tunis, Tunisia |
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Abstract: | In this paper, stabilizing regions of a first-order controller for an all poles system with time delay are computed via parametric methods. First, the admissible ranges of one of the controller’s parameters are obtained. Then, for a fixed value of this parameter, stabilizing regions in the remaining two parameters are determined using the D-decomposition method. Phase and gain margin specifications are then included in the design. Finally, robust stabilizing first-order controllers are determined for uncertain plants with an interval type uncertainty in the coefficients. Examples are given to illustrate the effectiveness of the proposed method. |
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Keywords: | Stability Time delay systems First-order controller Robust stability |
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