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Discretization Error Bounds for Sampled-Data Control of Nonlinear Systems

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Abstract

In this paper, discretization error for nonlinear systems in sampled-data configuration is analyzed. The discretization of the continuous-time system model is carried out using the Euler method. It is shown that discretization error is bounded for sufficiently small sampling time. The application of derived discretization error bounds in the convergence analysis of sampled-data control systems with control design based on the discretized system model is also presented.

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Authors and Affiliations

  1. National University of Sciences and Technology, House #12, Street 2, Sector B, Phase-1, Defence Housing Authority (Near Morgah Rawalpindi), Islamabad, Pakistan

    Fahad Mumtaz Malik

  2. National University of Sciences and Technology, House #26, Street 16, Race Course Road, Westridge, Rawalpindi, Pakistan

    Mohammad Bilal Malik

  3. Department of Electrical and Computer Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, 21589, Kingdom of Saudi Arabia

    Khalid Munawar

Authors
  1. Fahad Mumtaz Malik
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  2. Mohammad Bilal Malik
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  3. Khalid Munawar
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Correspondence to Fahad Mumtaz Malik.

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Malik, F.M., Malik, M.B. & Munawar, K. Discretization Error Bounds for Sampled-Data Control of Nonlinear Systems. Arab J Sci Eng 38, 3429–3435 (2013). https://doi.org/10.1007/s13369-013-0647-5

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  • DOI: https://doi.org/10.1007/s13369-013-0647-5

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