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Conference Papers Year : 2015

A new approach to enlarging sampling intervals for sampled-data systems

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Abstract

This paper provides exponential stability results for a family of nonlinear ODE systems which involves sampled-data states and a time-varying gain. Sufficient conditions ensuring global exponential stability are established in terms of Linear Matrix Inequalities (LMIs) derived on the basis of Lyapunov-Krasvoskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on the sampled-data measurements. It is shown throughout simple examples from the literature that the introduction of time-varying gains is quite beneficial for the enlargement of sampling intervals while preserving the stability of the system.

Dates and versions

hal-01260456 , version 1 (22-01-2016)

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Tarek Ahmed-Ali, Emilia Fridman, Laurent Burlion, Françoise Lamnabhi-Lagarrigue. A new approach to enlarging sampling intervals for sampled-data systems. 12th IFAC Workshop on Time Delay Systems TDS 2015, Jun 2015, Ann Arbor, United States. pp.440-445, ⟨10.1016/j.ifacol.2015.09.418⟩. ⟨hal-01260456⟩
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