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Fuzzy membership function-dependent switched control for nonlinear systems with memory sampled-data information

  • Fuzzy systems and their mathematics
  • Published:
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Abstract

In this paper, a fuzzy memory-based coupling sampled-data control (SDC) is designed for nonlinear systems through the switched approach. Compared with the usual SDC scheme, by employing the Bernoulli sequence, a more general coupling switched SDC that involving the signal transmission delay is designed. The Lyapunov–Krasovskii functional (LKF) is presented with the available characteristics of the membership function, and a coupling sampling pattern, for the T-S fuzzy systems. Based on LKF, together with time derivative information of membership function, and the generalized N-order free-matrix-based inequality, the suitable conditions are obtained in terms of linear matrix inequalities (LMIs) for guaranteeing the asymptotic stability and stabilization of the concerned system. Then, the desired fuzzy coupling SDC gain is attained from the solvable LMIs. In the end, two examples are given to validate the derived theoretical results.

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Funding

This work is supported by UGC-SAP (DSA-I), New Delhi, India, File No. F. 510/7/DSA-1/2015 (SAP-I).

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Authors and Affiliations

  1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, 624302, India

    B. Visakamoorthi & P. Muthukumar

  2. School of IT Information and Control Engineering, Kunsan National University, 558, Daehak-ro, Gunsan-si, Jeollabuk-do, 54150, Republic of Korea

    K. Subramanian

Authors
  1. B. Visakamoorthi
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  2. K. Subramanian
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  3. P. Muthukumar
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Contributions

B.V. contributed to conceptualization, methodology, software, writing—original draft, writing—review & editing. K.S. contributed to conceptualization, methodology, validation, software, writing—review & editing. P.M. contributed to conceptualization, validation, supervision, formal analysis, writing—review & editing.

Corresponding author

Correspondence to P. Muthukumar.

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Visakamoorthi, B., Subramanian, K. & Muthukumar, P. Fuzzy membership function-dependent switched control for nonlinear systems with memory sampled-data information. Soft Comput 26, 9035–9048 (2022). https://doi.org/10.1007/s00500-022-07279-2

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