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Journal Articles International Journal of Systems Science Year : 2016

Finding a stabilizing switching law for switching TS models

Abstract

This paper considers the stabilisation of switching nonlinear models by switching between the subsystems. We assume that arbitrary switching between two subsystems is possible once a subsystem has been active for a predefined number of samples. We use a Takagi–Sugeno representation of the models and a switching Lyapunov function is employed to develop sufficient stability conditions. If the conditions are satisfied, we construct a switching law that stabilises the system. The application of the conditions is illustrated in several examples.
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Dates and versions

hal-03430042 , version 1 (16-11-2021)

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Zsofia Lendek, Paula Raica, Jimmy Lauber, Thierry-Marie Guerra. Finding a stabilizing switching law for switching TS models. International Journal of Systems Science, 2016, 47 (12), pp.2762-2772. ⟨10.1080/00207721.2015.1021290⟩. ⟨hal-03430042⟩
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