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Controller design for nonlinear time delay distributed control systems subjected to input saturation nonlinearity and disturbances

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Abstract

This article proposes a state feedback controller synthesis for nonlinear time-delay distributed control systems subjected to input saturation nonlinearity and disturbances. Nonlinear time-delay distributed control system individual states are without time-delay and the states coming from other subsystems have the communication link time-delay. The coupling states time-delay is presumed to be time-varying within a predefined bound. First, we suggest global state feedback controller design and then, we extend the proposed global design technique to more general local state feedback controller scheme by using an auxiliary region of attraction. Linear matrix inequality (LMI)-based solution is anticipated to synthesis global and local state feedback controller by using global and local sector bounded condition, Lyapunov–Krasovskii function, and Lipschitz condition. Which guarantee global and local asymptotic stability of the complete closed-loop system and \( L_{2} \) gain reduction of the mapping from \( d_{p} (t) \) to \( z_{p} (t) \). Application results are presented to validate the benefits and effectiveness of the anticipated controller design schemes.

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Author information

Authors and Affiliations

  1. Department of Electronic Engineering, IQRA University, Islamabad, Pakistan

    Muntazir Hussain & M. Usman Hashmi

  2. Department of Electrical Engineering, NFC Institute of E&T, Multan, Pakistan

    M. Siddique

  3. Department of Electrical Engineering, Lahore College for Women University, Jhang Punjab, Pakistan

    M. Taskeen Raza

Authors
  1. Muntazir Hussain
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  2. M. Siddique
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  3. M. Usman Hashmi
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  4. M. Taskeen Raza
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Correspondence to Muntazir Hussain.

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Hussain, M., Siddique, M., Hashmi, M.U. et al. Controller design for nonlinear time delay distributed control systems subjected to input saturation nonlinearity and disturbances. Int. J. Dynam. Control 7, 557–566 (2019). https://doi.org/10.1007/s40435-018-0473-4

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  • DOI: https://doi.org/10.1007/s40435-018-0473-4

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