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Practical prescribed time control based on high-order fully actuated system approach for strong interconnected nonlinear systems

This paper investigates the problem of practical prescribed time control design for strong interconnected nonlinear systems by utilizing the high-order fully actuated (HOFA) system approach. Firstly, to specify the convergence time and accuracy of the system outputs in advance regardless of initial...

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Bibliographic Details
Published in:Nonlinear dynamics 2022-12, Vol.110 (4), p.3535-3545
Main Authors: Zhang, Liuliu, Zhu, Lingchen, Hua, Changchun
Format: Article
Language:English
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Summary:This paper investigates the problem of practical prescribed time control design for strong interconnected nonlinear systems by utilizing the high-order fully actuated (HOFA) system approach. Firstly, to specify the convergence time and accuracy of the system outputs in advance regardless of initial conditions, the thought of practical prescribed time control is introduced. Then, through some recursive coordinate transformation, the considered strong interconnected nonlinear systems are transformed into the HOFA system model, and then, the controller is designed to eliminate the effect caused by nonlinearities in the system. Furthermore, with the aid of an algebraic graph theory result, all signals in the system can be ensured to be globally bounded by appropriately designing the linear part of the obtained closed-loop system. Finally, the simulation results show the effectiveness of the proposed method.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-07820-w