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Stabilization of uncertain systems with multiple time-delays via adaptive robust control

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Abstract

This paper deals with the adaptive robust control problem for uncertain systems with multiple time-delays. It is assumed that the uncertainties are norm-bounded, but their bounds are not necessarily known. While in most existing literature, in addition to this assumption, it is necessary to satisfy a matching condition. This condition is restrictive and is not met in many practical systems. This requirement is removed in this study. Hence, the control scheme is applicable for a wider range of systems. Based on an appropriate Lyapunov–Krasovskii functional, the sufficient condition for the existence of an adaptive robust controller is obtained in terms of linear matrix inequalities. The designed controller ensures asymptotic stability of the closed-loop system. Finally, the simulation results illustrate the validity of the proposed control methodology.

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Data availability

The datasets generated during the current study are available from the corresponding author on reasonable request.

Code Availability

Not applicable.

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Authors and Affiliations

  1. Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol, Iran

    Majid Shahbazzadeh & Seyed Jalil Sadati

Authors
  1. Majid Shahbazzadeh
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  2. Seyed Jalil Sadati
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All the authors contributed to the design and implementation of the research, analysis of the results, and writing of the article.

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Correspondence to Seyed Jalil Sadati.

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We hereby declare that this manuscript is the result of our independent creation under the reviewers’ comments. Except for the quoted contents, this manuscript does not contain any research achievements that have been published or written by other individuals or groups.

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Shahbazzadeh, M., Sadati, S.J. Stabilization of uncertain systems with multiple time-delays via adaptive robust control. Int. J. Dynam. Control 11, 3043–3051 (2023). https://doi.org/10.1007/s40435-023-01154-0

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  • DOI: https://doi.org/10.1007/s40435-023-01154-0

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