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\(\mathrm{H}_{\boldsymbol{\infty} }\) output feedback control for large-scale nonlinear systems with time delay in both state and input

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Abstract

The \(\mathrm{H}_{\infty }\) output feedback control problem for a class of large-scale nonlinear systems with time delay in both state and input is considered in this paper. It is assumed that the interconnected nonlinearities are limited by constant multiplied by unmeasured states, delayed states and external disturbances. Different from existing methods to study the \(\mathrm{H}_{\infty }\) control of large-scale nonlinear systems, the static gain control technique is utilized to obtain an observer-based output feedback control strategy, which makes the closed-loop system globally asymptotically stable and attenuates the effect of external disturbances. An example is finally carried out to show the feasibility of the proposed control strategy.

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Acknowledgements

The work was supported by the National Natural Science Foundation of China (Nos. 61973189, 62073190, 61873334), the Research Fund for the Taishan Scholar Project of Shandong Province of China (No. ts20190905), and the Foundation for Innovative Research Groups of National Natural Science Foundation of China (No. 61821004).

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 250061, Shandong, China

    Zhiyu Duan, Xianfu Zhang, Shuai Liu & Airong Wei

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  1. Zhiyu Duan
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  2. Xianfu Zhang
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  3. Shuai Liu
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  4. Airong Wei
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Correspondence to Xianfu Zhang.

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Duan, Z., Zhang, X., Liu, S. et al. \(\mathrm{H}_{\boldsymbol{\infty} }\) output feedback control for large-scale nonlinear systems with time delay in both state and input. Control Theory Technol. 19, 384–391 (2021). https://doi.org/10.1007/s11768-021-00048-w

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  • DOI: https://doi.org/10.1007/s11768-021-00048-w

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