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Construction of a logical control by means of optimization of the Lypunov function when an object model is indeterminate

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Abstract

A method of constructing a logical control using if-then rules is proposed for situations when object mathematical models are indeterminate. The heart of the method is the idea of changing the sign of the relay control when a system moves away from its equilibrium position. The fact that a system moves away (or comes closer) to the position is indicated by the time derivative sign of the Lyapunov function defined as a positively definite quadratic form. The derivative is calculated in real time as the information about an object arrives.

When the interactive software package Signal Constraint is used for the optimization, the problem is to find such parameters of the Lyapunov function that allow a system’s transient characteristics to entirely fit the area of the restrictions specified on a screen.

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Authors and Affiliations

  1. Azerbaijan Technical University, Baku, Az 1073, Azerbaijan

    G. A. Mamedov, G. A. Rustamov & R. G. Rustamov

Authors
  1. G. A. Mamedov
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  2. G. A. Rustamov
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  3. R. G. Rustamov
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Correspondence to G. A. Mamedov.

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Original Russian Text © G.A. Mamedov, G.A. Rustamov, R.G. Rustamov, 2010, published in Avtomatika i Vychislitel’naya Tekhnika, 2010, No. 3, pp. 5–11.

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Mamedov, G.A., Rustamov, G.A. & Rustamov, R.G. Construction of a logical control by means of optimization of the Lypunov function when an object model is indeterminate. Aut. Conrol Comp. Sci. 44, 119–123 (2010). https://doi.org/10.3103/S0146411610030016

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  • DOI: https://doi.org/10.3103/S0146411610030016

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