Using exponential time-varying gains for sampled-data stabilization and estimation

作者：Ahmed Ali Tarek^*; Fridman Emilia^*; Giri Fouad^*; Burlion Laurent^*; Lamnabhi Lagarrigue Francoise^*

来源：Automatica, 2016, 67: 244-251.

DOI：10.1016/j.automatica.2016.01.048

• Sampled-data systems
• Sampled-data observers
• Time-varying gain

This paper provides exponential stability results for two system classes. The first class includes a family of nonlinear ODE systems while the second consists of semi-linear parabolic PDEs. A common feature of both classes is that the systems they include involve 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-Krasovskii functionals. The established stability results prove to be useful in designing exponentially convergent observers based on sampled-data measurements. It is shown throughout simulated examples from the literature that the introduction of time-varying gains is beneficial to the enlargement of sampling intervals while preserving the stability of the system.

• 出版日期2016-5