Abstract
The region of phase space with fuzzy boundaries is considered. The dynamics of the controlled system in this area is defined by a TS-model of the MISO type with a rule base up to the functions of each of the conclusions of the production rules. In contrast to the known solutions, this paper proposes to use controls synthesized based on the maximum condition of the generalized power function as the functions in each conclusion of the production rules. In this case to provide the various operation modes we need to build the corresponding set of switching hypersurfaces, which form is determined by the synthesizing function. To build the function we perform the analysis of dynamic measures on the switching hypersurface in the phase space. This function together with the use of fuzzy logic allows to develop a method for the synthesis of intelligent controls. The constructiveness of the developed method is confirmed by the results of the analysis of the solutions to the problem to control a nonlinear unstable object, obtained using the mathematical modeling.
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Kostoglotov, A.A., Agapov, A.A., Lazarenko, S.V. (2020). Method for Synthesis of Intelligent Controls Based on Fuzzy Logic and Analysis of Behavior of Dynamic Measures on Switching Hypersurface. In: Kovalev, S., Tarassov, V., Snasel, V., Sukhanov, A. (eds) Proceedings of the Fourth International Scientific Conference “Intelligent Information Technologies for Industry” (IITI’19). IITI 2019. Advances in Intelligent Systems and Computing, vol 1156. Springer, Cham. https://doi.org/10.1007/978-3-030-50097-9_54
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