Fuzzy adaptive control of fractional order chaotic systems with unknown control gain sign using a fractional order Nussbaum gain
| Autor: | Samir Ladaci, Yassine Bensafia, Khatir Khettab |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Lyapunov stability
0209 industrial biotechnology Adaptive control Chaotic Stability (learning theory) 02 engineering and technology Fuzzy logic Synchronization Nonlinear system 020901 industrial engineering & automation Artificial Intelligence Control and Systems Engineering Control theory Control system 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Information Systems Mathematics |
| Zdroj: | IEEE/CAA Journal of Automatica Sinica. 6:816-823 |
| ISSN: | 2329-9274 2329-9266 |
| DOI: | 10.1109/jas.2016.7510169 |
| Popis: | In this paper we propose an improved fuzzy adaptive control strategy, for a class of nonlinear chaotic fractional order ( SISO ) systems with unknown control gain sign. The online control algorithm uses fuzzy logic sets for the identification of the fractional order chaotic system, whereas the lack of a priori knowledge on the control directions is solved by introducing a fractional order Nussbaum gain. Based on Lyapunov stability theorem, stability analysis is performed for the proposed control method for an acceptable synchronization error level. In this work, the Grunwald-Letnikov method is used for numerical approximation of the fractional order systems. A simulation example is given to illustrate the effectiveness of the proposed control scheme. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|