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A variable memory state feedback and its application to robust control of uncertain singular time-delay systems

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Abstract

This paper is focused on the robust control of uncertain singular time-delay systems. The systems are firstly decomposed to differential-algebraic equations. The state decomposition is applied to customize a special augmented Lyapunov–Krasovskii functional and a variable memory state feedback (which includes the general state feedback and memory state feedback as special cases). Then, a robust admissibility condition and a robust admissibilization condition are derived, by which less conservatism and better control effect can be obtained with less computation. Finally, the above statements are demonstrated by some numerical examples.

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Acknowledgements

This work was supported in part by the Natural Science Research Project of University of Anhui Province under Grant K120437022.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China

    Ya-Li Zhi

  2. Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, 230601, China

    Ya-Li Zhi

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  1. Ya-Li Zhi
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Correspondence to Ya-Li Zhi.

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Zhi, YL. A variable memory state feedback and its application to robust control of uncertain singular time-delay systems. Neural Comput & Applic 34, 2177–2186 (2022). https://doi.org/10.1007/s00521-021-06524-3

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  • DOI: https://doi.org/10.1007/s00521-021-06524-3

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