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arXiv · 1411.1486

Domain of attraction of saturated switched systems under dwell-time switching

Masood Dehghan
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Abstract

This paper considers discrete-time switched systems under dwell-time switching and in the presence of saturation nonlinearity. Based on Multiple Lyapunov Functions and using polytopic representation of nested saturation functions, a sufficient condition for asymptotic stability of such systems is derived. It is shown that this condition is equivalent to linear matrix inequalities (LMIs) and as a result, the estimation of domain of attraction is formulated into a convex optimization problem with LMI constraints. Through numerical examples, it is shown that the proposed approach is less conservative than the others in terms of both minimal dwell-time needed for stability and the size of the obtained domain of attraction.

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Masood Dehghan. 2014-11-06. Domain of attraction of saturated switched systems under dwell-time switching. https://arxiv.org/abs/1411.1486

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