Geodesic
Observer based control for strong practical stabilization of a class of uncertain time delay systems
Kybernetika, Tome 55 (2019) no. 6, pp. 1016-1033 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2019-6-1016
Classification : 93C10, 93D15
Keywords: observer; exponential stability; strong practical stability; time delay; Lyapunov--Krasovskii 
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     title = {Observer based control for strong practical stabilization of a class of uncertain time delay systems},
     journal = {Kybernetika},
     pages = {1016--1033},
     year = {2019},
     volume = {55},
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     doi = {10.14736/kyb-2019-6-1016},
     mrnumber = {4077142},
     zbl = {07217224},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2019-6-1016/}
}
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Nadhem, Echi; Benabdallah, Amel. Observer based control for strong practical stabilization of a class of uncertain time delay systems. Kybernetika, Tome 55 (2019) no. 6, pp. 1016-1033. doi: 10.14736/kyb-2019-6-1016

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