21st IEEE conference on decision and control
Janset Dasdemir · IEEE Control Systems Magazine · 1982
Adaptive state estimation for a class of uncertain nonlinear systems with output time-delays Habib Dimassi, Antonio Loría, Safya Belghith Abstract — In this paper, we propose an adaptive observer for nonlinear systems with slope restricted nonlinearities, unknown parameters and delayed outputs. The delay is assumed constant and the unknown parameter is assumed piece-wise constant. Based on the Lyapunov-krasovskii approach, we show that, for sufficiently small values of the time-delay, both state estimation and parametric convergence are ensured under a condition of persistent excitation. The result is illustrated via two numerical examples. I.