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Stabilization of saturated switching systems

Authors: Abdellah Benzaouia;

Stabilization of saturated switching systems

Abstract

In this chapter, two directions are explored: the first concerns the synthesis of non saturating controllers, while the second direction deals with controllers tolerating saturations to take effect. The second method was firstly used in [22] with the use of a multiple Lyapunov function. However, only the intersection of all the corresponding level sets of the local functions was considered as a region of asymptotic stability of the switching system. This drawback is improved in [25, 35] by considering, for the first time, a large set of asymptotic stability composed by the union of all the level sets. In this context, different sufficient conditions of asymptotic stability are obtained for switching systems subject to actuator saturations. Furthermore, these conditions are presented in the form of LMIs for the state feedback control case.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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