A new approach to enlarging sampling intervals for sampled-data systems. Issue 12 (2015)

• Record Type: Journal Article
• Authors: Ahmed-Ali, T.; Fridman, E.; Giri, F.; Burlion, L.; Lamnabhi-Lagarrigue, F.
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 12(2015)
• Page Start: 440
• Page End: 445
• Publication Date: 2015
• Subjects: Sampled-data systems -- Sampled-data observers -- Time-varying gain; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.418
• Languages: English
• ISSNs: 2405-8963

Abstract

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.