Open Access Open Access  Restricted Access Subscription or Fee Access

Stable Fuzzy Logic Control of Generalized van der Pol Oscillator

Radu-Emil Precup, Marius-Lucian Tomescu, Emil M. Petriu, Lavinia-Elena Dragomir


This paper suggests the design of Takagi-Sugeno (T-S) fuzzy logic controllers (FLCs) to stabilize the generalized van der Pol oscillator as a representative nonconservative oscillator with nonlinear damping. The design is supported by the stability analysis in the sense of Lyapunov using the global invariant set theorem. A new stability analysis theorem is formulated to offer sufficient conditions for the stability of the fuzzy control system that consists of the van der Pol oscillator controlled by T-S FLCs. The simulation results show good fuzzy control system performance.


Dynamical systems in control, chaos control, fuzzy control, Lyapunov functions, nonlinear equations and systems.

Full Text:



  • There are currently no refbacks.

Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.