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DOI: 10.14489/vkit.2020.10.pp.030-037
Гусейнзаде Ш. С.
МОДЕЛИРОВАНИЕ ИНТЕЛЛЕКТУАЛЬНЫХ СИСТЕМ УПРАВЛЕНИЯ С ПРИМЕНЕНИЕМ МОДИФИЦИРОВАННЫХ НЕЧЕТКИХ РАСКРАШЕННЫХ СЕТЕЙ ПЕТРИ
(c. 30-37)
Аннотация. Предложена модификация сетей Петри – нечеткая раскрашенная сеть Петри, получаемая путем интеграции нечетких и раскрашенных сетей Петри. В разработанной модифицированной нечеткой раскрашенной сети Петри функции принадлежности термов лингвистической переменной применены к цветовым маркерам раскрашенных сетей Петри, причем дугам присваиваются нечеткие условия существования в зависимости от значений этих функций. Для реализации предложенного способа моделирования использована система CPN (Colored Petri Nets) Tools. Выбор функции принадлежности и фаззификация значений термов выполнены в приложении Fuzzy Toolbox системы MatLab. Проведены компьютерные имитационные эксперименты на примере реализации нечеткого управления водяными насосами.
Ключевые слова: нечеткая сеть Петри; раскрашенная сеть Петри; управление водяными насосами; матрица инциденций; симуляция сети; лингвистическая переменная; терм; функция принадлежностей.
Huseynzade Sh. S.
MODELING OF INTELLECTUAL CONTROL SYSTEMS WITH APPLICATION OF MODIFIED FUZZY COLORED PETRI NETS
(pp. 30-37)
Abstract. A modification of the Petri nets is proposed a Fuzzy Colored Petri Net (FCPN), leading to the integration of Fuzzy Petri Nets (FPN) and Colored Petri Nets (CPN). Separately, the shortcomings of FPN and CPN and the advantages the developed FCPN for modeling intelligent control systems are identified and justified. In the developed modified FCPN the membership functions of the terms of a linguistic variable are applied to markers of the CPN as color and fuzzy existence conditions are assigned to arcs depending on the values of the linguistic variable. As a result, FCPN with enhanced capabilities was obtained, which eliminates the shortcomings of CPN and FPN. The FCPN and a simulation approach are defined, which includes a reasoning algorithm, as well as a detailed procedure for modeling and analysis of nonlinear discrete objects. The structure is organized in the CPN Tools system with the synchronization of the CPN ML (Markup Language) language with the MatLab package. The choice of membership function and fuzzification of term values is performed in the Fuzzy Toolbox application of the MatLab system. The proposed approach is illustrated by simple example, including the control of water pumps, to maintain the required water level in the pumping well. A model is developed for the automation of adaptive fuzzy control of water pumps based on modified FCPN. Based on the criteria for the operation of water pumps according to the water levels in the pumping well, many positions and transitions of the FCPN are formed. Describing the necessary behavior of the system by the relations between the positions and transitions of the FCPN using the logic “If ... Then ...” an adaptation algorithm is developed. Based on the algorithm, the matrices of input and output incidents are determined. The graph model of the FCPN is developed. Visualization of the model is implemented in the CPN Tools system. The computer simulations and net analysis experiments demonstrate the convenience of the developed approach when modeling the intelligent control of dynamic systems.
Keywords: Fuzzy Petri net; Colored Petri net; Water pump control; Incidence matrix; Net simulation; Linguistic variable; Term; Membership function.
Ш. С. Гусейнзаде (Сумгаитский государственный университет, Сумгаит, Азербайджанская Республика) E-mail:
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Sh. S. Huseynzade (Sumgayit State University, Sumgayit, Republic of Azerbaijan) E-mail:
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