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Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay

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Abstract

This paper deals with control design for interconnected nonlinear systems with time-varying input delay. Based on the truncated prediction of the system state over the delay period, the state feedback control law is constructed. In the framework of the Lyapunov–Krasovskii function, the stability equations of closed-loop system under state feedback law are established, and the feasibility of the controller is transformed into the problem of establishing a set of linear matrix inequality (LMI) conditions. Based on the Lyapunov stability theorem, it is proved that the closed-loop system is asymptotically stable. Finally, a simulation example is provided to demonstrate the effectiveness of the control scheme.

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Data Availability Statement

The datasets supporting the conclusions of this article are included within the article.

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Funding

This work was supported in part by the National Key R&D Program of China (2018YFB1308302), in part by the National Natural Science Foundation of China (61803326, 62103353, 61825304 and 6182500417), in part by the Innovative Research Groups of the Natural Science Foundation of Hebei Province (E2020203174), in part by the Top Young Talents of Science and Technology Program of Higher Education Department of Hebei Province (BJ2021041).

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Authors and Affiliations

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Liuliu Zhang, Songsong Liu & Changchun Hua

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  1. Liuliu Zhang
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  2. Songsong Liu
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  3. Changchun Hua
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Correspondence to Liuliu Zhang.

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Zhang, L., Liu, S. & Hua, C. Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay. Nonlinear Dyn 107, 2421–2428 (2022). https://doi.org/10.1007/s11071-021-07126-3

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