Kybernetika 55 no. 6, 1016-1033, 2019

Observer based control for strong practical stabilization of a class of uncertain time delay systems

Echi Nadhem and Amel BenabdallahDOI: 10.14736/kyb-2019-6-1016

Abstract:

In this paper, we address the strong practical stabilization problem for a class of uncertain time delay systems with a nominal part written in triangular form. We propose, firstly, a strong practical observer. Then, we show that strong practical stability of the closed loop system with a linear, parameter dependent, state feedback is achieved. Finally, a separation principle is established, that is, we implement the control law with estimate states given by the strong practical observer and we prove that the closed loop system is strong practical stable. With the help of a numerical example, effectiveness of the proposed approach is demonstrated.

Keywords:

observer, time delay, exponential stability, strong practical stability, Lyapunov-Krasovskii

Classification:

93C10, 93D15

paper.pdf

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