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Periodically Intermittent Controller Design for \(H_{\infty }\) Synchronization of Nonlinear Descriptor Systems Satisfying Incremental Quadratic Constraints Under Stochastic Disturbance

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Abstract

In this paper, the \(H_{\infty }\) synchronization problem for descriptor systems with nonlinearities satisfying incremental quadratic constraints under both external and stochastic disturbances is studied. The incremental quadratic constraints can include Lipschitz, one-side Lipschitz, sector-bounded, nondecreasing nonlinear functions, etc. Then, a periodically intermittent controller is designed and several sufficient conditions are obtained to make the drive and response systems synchronized with \(H_{\infty }\) disturbance attenuation level by exploiting the Lyapunov stability theory and the It\({\hat{o}}\) formula. Finally, two examples are given to illustrate the desired performance of the designed controller.

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Data Availability Statement

The data used to support the findings of this study are available from the corresponding author upon request.

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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Qiaofeng Wen, Leipo Liu, Dexin Fu, Yilin Shang & Zhumu Fu

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  1. Qiaofeng Wen
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  2. Leipo Liu
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  4. Yilin Shang
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Wen, Q., Liu, L., Fu, D. et al. Periodically Intermittent Controller Design for \(H_{\infty }\) Synchronization of Nonlinear Descriptor Systems Satisfying Incremental Quadratic Constraints Under Stochastic Disturbance. Circuits Syst Signal Process 42, 2654–2674 (2023). https://doi.org/10.1007/s00034-022-02242-w

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