Abstract

This paper addresses a linear matrix inequalities (LMI) based fuzzy robust regulation as a control method to synchronize two Lorenz' chaotic attractors. On basis of the so called internal model approach, a methodology for the controller design is presented. By means of a combination of an exact Takagi-Sugeno (T-S) fuzzy model for the Lorenz attractor and the fuzzy regulation, a control law for the original nonlinear system is proposed. Concerning the stability property of the overall control system, sufficient conditions in the form of LMI's are derived. By the design of local controllers for each subsystem, the regulation feature is achieved. The controller construction is described and the synchronization objective verified by numerical simulations

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.