Article

Article title STABILITY OF SYSTEMS WITH ADAPTIVE FUZZY CONTROLLERS
Authors V.V. Soloviev, A.Ya. Nomerchuk, M.E. Denisenko
Section SECTION I. MATHEMATICAL METHODS OF SYNTHESIS OF SYSTEMS
Month, Year 05, 2014 @en
Index UDC 620.9
DOI
Abstract In this paper is made the analysis of methods for assessing stability control systems with fuzzy controllers. The method analysis of stability systems is considered with the nonlinearity lying in sector, limited the first and third quadrants of coordinate system. On an example is shown the inefficiency of application this method for the adaptive fuzzy regulator because possibility drift the output characteristic the adaptive fuzzy regulator out of limits the first and third quadrants of coordinate system in the adaptation process. The technique of synthesis control systems is considered with the adaptive fuzzy regulator and the stabilizing regulator, not allowing an output of object to go beyond the tolerance range. The block diagram of system is provided reflecting the inclusion of adaptive and stabilizing controllers. The technique of synthesis the stabilizing regulator is shown for nonlinear objects with parametrical uncertainty and additive control. Control law and the function of stabilizing switching regulator is defined using Lyapunov function. The sequence of synthesis steps stabilizing controller is shown. Model experiment is given for unstable object with parametrical uncertainty.

Download PDF

Keywords Adaptive fuzzy control; stability; stabilizing controller.
References 1. Бесекерский В.А., Попов Е.П. Теория систем автоматического управления. – 4-е изд., перераб. и доп. – СПб.: Профессия, 2003. – 752 с.
2. Min Wua, Yong Hea, Guo-Ping Liub, Jin-Hua She. On Absolute Stability of Lur’e Control Systems with Multiple Nonlinearities // European Journal of Control. – 2005. – Vol. 11, № 1. – P. 19-28.
3. Chyun-Chau Fuh, Pi-Cheng Tung. Robust stability bounds for Lur’e systems with parametric uncertainty // Journal of Marine Science and Technology. –1999. – Vol. 7, № 2. – P. 73-78.
4. Piegai. Andrzcj: Fuzzy modeling and control. – Heidelberg; New York: Physica-Vcrl. 2001.
5. Li-Xin Wang. Stable Fuzzy Control of Linear Systems // IEEE Transactions on fuzzy systems. – 1998. – Vol. 6, № 1. – P. 137-143.
6. Lu Hongqian, Huang Xianlin, Gao X.Z., Ban Xiaojun, Yin Hang. Stability analysis of the simplest Takagi-Sugeno fuzzy control system using circle criterion // Journal of Systems Engineering and Electronics. – 2007. – Vol. 18, № 2. – Р. 311-319.
7. Соловьев В.В., Финаев В.И. Методика синтеза адаптивного нечеткого регулятора для объекта с неопределенной моделью // Известия ЮФУ. Технические науки. – 2012. – № 1 (126). – С. 78-83.
8. Wong C.-C., Chen J.-Y. Fuzzy control of nonlinear systems using rule adjustment // IEEE Proc.-Control Theory Appl. – 1999. – Vol. 146, № 6. – Р. 578-584.
9. Соловьев В.В. Синтез адаптивного нечеткого регулятора для объектов с априорной неопределенностью // Труды 3-го международного семинара «Системный анализ, управление и обработка информации» / Под общ. ред. Р.А. Нейдорфа. – Ростов –на-Дону: Изд. Центр Донск. Гос. Техн. ун-та, 2012. – С. 224-239.
10. Соловьев В.В. Методология моделирования систем с априорной неопределенностью // Сборник трудов Всероссийской научной конференции молодых ученых студентов, аспирантов и студентов «Проблемы автоматизации. Региональное управление. Связь и автоматика – ПАРУСА-2012». – Геленджик: Изд-во ЮФУ, 2012. – С. 83-87.

Comments are closed.