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

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.
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Submitted on : Friday, January 22, 2016 - 11:07:01 AM
Last modification on : Wednesday, September 16, 2020 - 4:46:18 PM

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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. ⟨10.1016/j.ifacol.2015.09.418⟩. ⟨hal-01260456⟩



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