Finding a stabilising switching law for switching nonlinear models

Zs. Lendek, P. Raica, J. Lauber and T.M. Guerra

International Journal of Systems Science, 2016, vol. 47, issue 12, 2762-2772

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.

Date: 2016
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DOI: 10.1080/00207721.2015.1021290

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