Open Access Open Access  Restricted Access Subscription or Fee Access

Stable Fuzzy Logic Control Solution for Lorenz Chaotic System Stabilization

Radu-Emil Precup, Marius L. Tomescu, Stefan Preitl, Igor Skrjanc

Abstract


Nonlinear systems that exhibit sensitivity to initial conditions are called chaotic systems. Linear control solutions may fail in providing their stability. This paper suggests a Takagi Sugeno (TS) fuzzy logic controller (FLC) designed to stabilize the Lorentz chaotic systems. The design of the FLCs is based on heuristic fuzzy rules. The stability analysis (in the sense of Lyapunov) of these fuzzy control systems is performed using the global invariant set theorem due to La Salle. The stability theorem presented in this paper offers sufficient conditions for the stability of the Lorenz system controlled by TS FLCs.

Keywords


chaotic systems, fuzzy control, Lyapunov functions, nonlinear equations and systems

Full Text:

PDF


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. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.