2006
DOI: 10.1109/tac.2006.875008
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Analysis and design of integral sliding manifolds for systems with unmatched perturbations

Abstract: Abstract-The robustness properties of integral sliding-mode controllers are studied. This note shows how to select the projection matrix in such a way that the euclidean norm of the resulting perturbation is minimal. It is also shown that when the minimum is attained, the resulting perturbation is not amplified. This selection is particularly useful if integral sliding-mode control is to be combined with other methods to further robustify against unmatched perturbations.is taken as a special case. Simulations … Show more

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Cited by 524 publications
(345 citation statements)
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“…Notice that, at t = t o , the switching function σ(x(t0), t0) = 0, and hence the reaching phase is eliminated [11]. It can be shown (see for example) [9] that the sliding motion associated with (17) is always nominally governed by (A − Bν F ) independent of the choice of G. Recently an approach was suggested for the selection of G which attempts to ameliorate the effects of unmatched uncertainty [11]. In this paper…”
Section: A Integral-type Switching Surface Designmentioning
confidence: 99%
“…Notice that, at t = t o , the switching function σ(x(t0), t0) = 0, and hence the reaching phase is eliminated [11]. It can be shown (see for example) [9] that the sliding motion associated with (17) is always nominally governed by (A − Bν F ) independent of the choice of G. Recently an approach was suggested for the selection of G which attempts to ameliorate the effects of unmatched uncertainty [11]. In this paper…”
Section: A Integral-type Switching Surface Designmentioning
confidence: 99%
“…The design of this switching function, as in [13], [14] and [9] aims to eliminate the reaching phase which is present in the traditional sliding mode control techniques [8]. The elimination of the reaching phase, ensures the occurrence of the sliding mode starting at t = 0, and guarantees the robustness of the closed-loop sliding motion throughout the entire response of the system.…”
Section: Integral Sliding Mode Controller Designmentioning
confidence: 99%
“…In particular this term will add robustness to the control allocation scheme proposed in Section III. This robustness will be introduced by the introduction of an integral sliding mode [44], [45]. Integral sliding modes are quite distinct from 'conventional' sliding modes [46].…”
Section: Integral Sliding Modesmentioning
confidence: 99%