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Keywords:
observer; exponential stability; strong practical stability; time delay; Lyapunov--Krasovskii
observer; exponential stability; strong practical stability; time delay; Lyapunov--Krasovskii
Summary:
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.
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