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Control of Time Delay Fuzzy Descriptor Systems with Actuator Saturation

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Abstract

This paper investigates the stabilization problem of time delay fuzzy descriptor system under actuator saturation. A polytopic approach is used to describe the saturation behavior. By using an augmented Lyapunov–Krasovskii functional and adopting the delay partitioning technique, less conservative sufficient conditions are established to ensure the closed-loop system to be locally robust admissible. Moreover, a domain of attraction in which the admissible initial states are ensured to converge asymptotically to the origin is determined. In this paper, all the conditions are transformed into minimization problem involving LMI conditions by adopting the idea of the cone complementarity algorithm. This minimization problem can be solved efficiently by using the LMI optimization techniques. A numerical example illustrates the effectiveness of the design.

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Authors and Affiliations

  1. Modeling, Information, and Systems Laboratory (MIS Lab), University of Picardie Jules Verne, 33, Rue St Leu, Amiens , 80000, France

    Hamdi Gassara & Ahmed El Hajjaji

  2. Lab-STA, National School of Engineers of Sfax (ENIS), Rue Soukera, BP 1173, 3038 , Sfax, Tunisia

    Hamdi Gassara, Mourad Kchaou & Mohamed Chaabane

Authors
  1. Hamdi Gassara
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  2. Mourad Kchaou
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  3. Ahmed El Hajjaji
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  4. Mohamed Chaabane
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Correspondence to Ahmed El Hajjaji.

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Gassara, H., Kchaou, M., Hajjaji, A.E. et al. Control of Time Delay Fuzzy Descriptor Systems with Actuator Saturation. Circuits Syst Signal Process 33, 3739–3756 (2014). https://doi.org/10.1007/s00034-014-9836-z

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  • DOI: https://doi.org/10.1007/s00034-014-9836-z

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