TY - JOUR
T1 - A new approach to enlarging sampling intervals for sampled-data systems
AU - Ahmed-Ali, T.
AU - Fridman, E.
AU - Giri, F.
AU - Burlion, L.
AU - Lamnabhi-Lagarrigue, F.
N1 - Publisher Copyright:
© 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
PY - 2015/7/1
Y1 - 2015/7/1
N2 - 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.
AB - 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.
KW - Sampled-data observers
KW - Sampled-data systems
KW - Time-varying gain
UR - http://www.scopus.com/inward/record.url?scp=84954112875&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2015.09.418
DO - 10.1016/j.ifacol.2015.09.418
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AN - SCOPUS:84954112875
SN - 2405-8963
VL - 28
SP - 440
EP - 445
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 12
T2 - 12th IFAC Workshop on Time Delay Systems, TDS 2015
Y2 - 28 June 2015 through 30 June 2015
ER -