Open AccessHybrid synchronisation of vallis chaotic systems using nonlinear active control
Author(s) -
Piyush Pratap Singh,
Vinit Kumar,
Eshan Tiwari,
Vinay K. Chauhan
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i2.21.11834
Subject(s) - control theory (sociology) , nonlinear system , matlab , chaotic , lyapunov stability , computer science , computer simulation , stability (learning theory) , principal (computer security) , lyapunov function , oscillation (cell signaling) , control (management) , physics , simulation , artificial intelligence , quantum mechanics , machine learning , biology , genetics , operating system
In this paper, hybrid synchronisation of Vallis chaotic systems using a nonlinear control technique is proposed. Vallis system represents the principal quantitative features of the El-Nino Southern Oscillation (ENSO) phenomenon. A nonlinear active control technique is used for hybrid synchronisation. Control laws are designed by using the sum of the relevant variables of the both mater and slave systems. Required Lyapunov stability condition is devised using Lyapunov stability theory. Numerical simulation results reflect the successful achievement of the proposed objectives. MATLAB is used for simulation.