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Improved Results on Delay-Dependent Stability of LFC Systems with Multiple Time-Delays

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Abstract

In this paper, the problem of delay-dependent robust stability of uncertain load frequency control (LFC) systems with multiple time-delays and exogenous power system disturbance has been considered. Using Lyapunov–Krasosvskii functional method, less conservative delay-dependent stability criteria are proposed in linear matrix inequality formulation to compute the maximum value of the time-delays within which the LFC system under consideration remains asymptotically stable in the sense of Lyapunov. Compared to the existing result in the literature, the proposed result takes into account the effect of unknown exogenous load disturbance into the stability analysis, imparting more applicability and usefulness to the resulting stability criterion in real-time conditions.

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Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, Pondicherry Engineering College, Pillaichavady, 605014, Pondicherry, India

    K. Ramakrishnan

  2. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, 721302, West Bengal, India

    G. Ray

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  1. K. Ramakrishnan
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  2. G. Ray
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Correspondence to K. Ramakrishnan.

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Ramakrishnan, K., Ray, G. Improved Results on Delay-Dependent Stability of LFC Systems with Multiple Time-Delays. J Control Autom Electr Syst 26, 235–240 (2015). https://doi.org/10.1007/s40313-015-0171-9

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  • DOI: https://doi.org/10.1007/s40313-015-0171-9

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