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Sliding Mode Control Design for a Class of Uncertain Time-Delay Conic Nonlinear Systems

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Abstract

In this article, a type of dynamic time-delay systems with uncertain coefficients is studied. By defining the appropriate sliding surface, sufficient conditions as linear matrix inequalities are obtained that guarantee the finite time-bounded condition. In addition, with the help of the sliding mode controller gain, a suitable sliding mode control strategy has been obtained. By considering that sliding mode control strategy, it is shown that the state variables can be placed on the sliding surface in a finite time. Finally, the efficiency of the results was evaluated by using a simulation example.

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All authors contributed to the study conception and design. Collection of preliminary information, proof of theorems and analysis of the proposed method were performed by GK and SMM-A. The first draft of the manuscript and the initial idea of the issues raised were written by SMM-A, and all the authors commented on previous versions of the manuscript. All authors read and approved the final version.

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Correspondence to Seyed Mehdi Mirhosseini-Alizamini.

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Khaledi, G., Mirhosseini-Alizamini, S.M. & Khaleghizadeh, S. Sliding Mode Control Design for a Class of Uncertain Time-Delay Conic Nonlinear Systems. Iran J Sci Technol Trans Sci 46, 583–593 (2022). https://doi.org/10.1007/s40995-022-01264-y

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  • DOI: https://doi.org/10.1007/s40995-022-01264-y

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