Methods of Impulse Processes Control for Cognitive Maps with Delays

Віктор Демидович Романенко, Юрій Леонідович Мілявський

Abstract


Background. The paper deals with the problem of cognitive modelling, namely control of complex systems with dynamics in impulse process presented by cognitive maps. It is assumed that the systems operate with delays that may occur either between vertices coordinates of a cognitive map or during transmission of control signals.

Objective. Build models of cognitive maps with different delays and to apply these models to control impulse processes in cognitive maps.

Methods. The article discusses two approaches for delays – control delays and delays during interaction between the vertices of a cognitive map. For the first case, a control algorithm based on reference model of a closed system was proposed, for the second case it is based on quadratic optimality criterion. Obtained results were verified using cognitive maps of commercial bank and health care system. Different delays were included into these systems and control laws were developed.

Results. Simulation results have confirmed that proposed methods reach the objective, i.e. they allow stabilising system with delays in impulse mode.

Conclusions. Research provided in the paper extended the class of controlled cognitive maps by systems with delays.


Keywords


Cognitive map; Impulse process; System with delays; Control algorithm

References


F. Roberts, Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems.Englewood Cliffs, Prentice-Hall, 1976, 559 p.

B. Kosko, “Fuzzy cognitive maps”, Int. J. Man-Machine Stud., vol. 24, pp. 65–75, 1986. Doi: 10.1016/s0020-7373(86)80040-2.

J. Aguilar, “A Survey about fuzzy cognitive maps papers”, Int. J. Computational Cognition, vol. 3, pp. 27–33, 2005.

V. Maksimov, “Structural–target analysis of socio-economic situations development”, Problemy Upravleniya, no. 3, pp. 30– 38, 2005 (in Russian).

Z. Avdeeva et al., “Cognitive approach in control”, Problemy Upravleniya, no. 3, pp. 2–8, 2002 (in Russian).

L. Chun-Me, “Using fuzzy cognitive map for system control”, WSEAS Transactions on Systems, vol. 7, pp. 1504–1515, 2008.

G. Gorelova et al., Research of Semi-Structured Problems in Socio-Economic Systems. Cognitive Approach. Rostov-on-Don, Russia: Izdatelstvo RGU, 2006, 332 p. (in Russian).

M. Hagiwara, “Extended fuzzy cognitive maps”, in Proc. 1st IEEE Int. Conf. Fuzzy Systems, March 8–12,San Diego,CA, 1992, pp. 795–801. Doi: 10.1109/fuzzy.1992.258761.

V. Romanenko and Y. Milyavskiy, “Stabilizing of impulse processes in cognitive maps based on state-space models”, Systemni Doslidzhennya ta Inform. Technologiyi, no. 1, pp. 26–42, 2014 (in Russian).

V. Romanenko et al., “Adaptive control method for unstable impulse processes in cognitive maps based on reference models”, Problemy Informatiki i Upravleniya, no. 2, pp. 35–45, 2015 (in Russian).

V. Romanenko and Y. Milyavskiy, “Coordinates ratio control for cognitive model of a complex system under unstable impulse process”, Systemni Doslidzhennya ta Inform. Technologiyi, no. 1, pp. 121–129, 2015 (in Russian).

W. Zhang and S. Chen, “A logical architecture for cognitive maps”, in Proc. 2nd Int. Conf. Neural Networks, vol. 1, Boumemouth, UK, 1988, pp. 231–238. Doi: 10.1109/icnn.1988.23852.

R. Isermann, Digital Control Systems. Springer-Verlag, 1981, 566 p. Doi: 10.1007/978-3-662-02319-8.


GOST Style Citations


  1. Roberts F. Discrete Mathematical Models with Applications to Social, Biological, and Environmental Problems. – Englewood Cliffs, Prentice-Hall, 1976. – 559 p.

  2. Kosko B. Fuzzy сognitive maps // Int. J. Man-Machine Stud. – 1986. – 24. – Р. 65–75.

  3. Aguilar J. A Survey about fuzzy cognitive maps papers // Int. J. Computational Cognition. – 2005. – 3, № 2. – P. 27–33.

  4. Максимов В.И. Структурно-целевой анализ развития социально-экономических ситуаций // Проблемы управления. – 2005. – № 3. – С. 30–38.

  5. Когнитивный подход в управлении / З.К. Авдеева,  С.В. Коврига,  Д.И. Макаренко,  В.И. Максимов // Проблемы управления. – 2002. – № 3. – С. 2–8.

  6. Chun-Mei L. Using fuzzy cognitive map for system control // WSEAS Trans. Systems. – 2008. – 7. – P. 1504–1515.

  7. Горелова Г.В., Захарова Е.Н., Радченко С.А. Исследование слабоструктурированных проблем социально-эко­но­ми­чес­ких систем. Когнитивный подход. – Ростов-на-Дону: Изд-во РГУ, 2006. – 332 с.

  8. Hagiwara M. Extended fuzzy cognitive maps // Proc. 1st IEEE Int. Conf. Fuzzy Systems, March 8–12,San Diego, CA. – San Diego, 1992. – P. 795–801.

  9. Романенко В.Д., Милявский Ю.Л. Обеспечение устойчивости импульсных процессов в когнитивных картах на основе моделей в пространстве состояний // Системні дослідження та інформ. технології. – 2014. – № 1. – С. 26–42.

  10. Романенко В.Д., Милявский Ю.Л., Реутов А.А. Метод адаптивного управления неустойчивыми импульсными процессами в когнитивных картах на основе эталонных моделей // Проблемы информатики и управления. – 2015. – № 2. – С. 35–45.

  11. Романенко В.Д., Милявский Ю.Л. Управление соотношениями координат когнитивной модели сложной системы при неустойчивом импульсном процессе // Системні дослідження та інформ. технології. – 2015. – № 1. – С. 121–129.

  12. Zhang W., Chen S. A logical architecture for cognitive maps // Proc. 2nd Int. Conf. Neural Networks. – Boumemouth, 1988. – 1. – P. 231–238.

  13. Isermann R. Digital Control Systems. – Springer-Verlag, 1981. – 566 p.




DOI: https://doi.org/10.20535/1810-0546.2015.5.51376

Refbacks

  • There are currently no refbacks.


Copyright (c) 2017 NTUU KPI