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Stability analysis of interconnected nonlinear mixed passive and negative-imaginary systems

International Journal of Dynamics and Control volume 9, pages 935–944 (2021)Cite this article

Abstract

This paper presents an analytical framework to establish finite gain stability for nonlinear interconnected mixed passive and negative imaginary systems. The stability analysis is presented using the notation of dissipitivity. The proposed stability framework enables us to extend the number of existing results from the linear mixed systems to the wide range of nonlinear mixed systems. Accordingly, the stability analysis of this paper extends the work of Das et al. (in: 2013 Australian control conference. IEEE, pp 445–449, 2013) to nonlinear cases. A numerical example is presented in the paper to test the results of the proposed analytical framework.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Varendra University, Rajshahi, Bangladesh

    Subrata K. Sarker

  2. Department of Electrical and Electronic Engineering, Rajshahi University of Engineering and Technology, Rajshahi, Bangladesh

    Md. Rafiqul Islam Sheikh

  3. Department of Mechatronics Engineering, Rajshahi University of Engineering and Technology, Rajshahi, Bangladesh

    Sajal K. Das

Authors
  1. Subrata K. Sarker
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  2. Md. Rafiqul Islam Sheikh
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  3. Sajal K. Das
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Correspondence to Subrata K. Sarker.

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Sarker, S.K., Sheikh, M.R.I. & Das, S.K. Stability analysis of interconnected nonlinear mixed passive and negative-imaginary systems. Int. J. Dynam. Control 9, 935–944 (2021). https://doi.org/10.1007/s40435-020-00749-1

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  • DOI: https://doi.org/10.1007/s40435-020-00749-1

Keywords

  • Hard disk drive
  • Nanopositioning
  • Passive and NI system
  • Stability mapping
  • Smart actuators