Observer-based controller for delayed state linear singular systems
| Authors: | Saadni Mohamed Salah, Université de Poitiers, France
Chaabane M., University of Sfax, Tunisia
Mehdi D., Université de Poitiers, France
Bachelier O., Université de Poitiers, France |
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| Topic: | 1.1 Modelling, Identification & Signal Processing |
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| Session: | Filtering and Estimation |
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| Keywords: | singular systems, observers, feedback control, linear matrix inequality. |
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Abstract
Based on Lyapunov-Krasovskii functional, this paper concerns an observer based stabilization problem for delayed statelinear singular systems. The linear quadratic control is used and the state variables are provided by an observer. Anobserver based controller, in which the influence of the time-delays is considered, the design of the controller andobserver are separated. LMIs Delay-dependent sufficient conditions for stabilizability is established to check if asystem of this class is stabilizable or not. Some numerical examples are provided to show the usefulness of theproposed results.
