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Robust control design for uncertain objects with time delay on the state

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Abstract

This paper is devoted to developing methodology for designing robust control systems with large gain coefficients. The problem of robust control of uncertain objects with time-delayed states is solved based on the Lyapunov method. An unlimited increase in the gain coefficient of a controller allows the general components of an uncertain model to be suppressed to the maximum extent possible without a loss of stability. Within the limits, the system is described by a hyperplane equation. The quality parameters are determined by tuning the hyperplane coefficients. This equivalent-to-robust control enables one to track a reference signal with the desired accuracy for a wide class of uncertainties. The simulation results illustrate the effectiveness and efficiency of the proposed technique.

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Authors and Affiliations

  1. Azerbaijan Technical University, pr. Dzhavida 25, Baku, AZ1073, Azerbaijan

    G. A. Rustamov

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  1. G. A. Rustamov
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Correspondence to G. A. Rustamov.

Additional information

Original Russian Text © G.A. Rustamov, 2016, published in Avtomatika i Vychislitel’naya Tekhnika, 2016, No. 3, pp. 71–82.

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Rustamov, G.A. Robust control design for uncertain objects with time delay on the state. Aut. Control Comp. Sci. 50, 133–140 (2016). https://doi.org/10.3103/S0146411616030056

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  • DOI: https://doi.org/10.3103/S0146411616030056

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