Abstract
AbstractThis paper studies distributed Nash equilibrium seeking for games with second-order players affected by external disturbances. Three kinds of continuous functions, namely an approximated signum function, a saturation function and a power function, with time-varying and decaying parameters are employed to handle the disturbances. Compared with signum function based sliding mode algorithms, the proposed functions have the following advantages. First, they effectively eliminate the side effects caused by disturbances. Second, chattering phenomenon resulted from the standard signum function based sliding mode control is relaxed to some extent. Based on the above functions, distributed Nash equilibrium seeking strategies are constructed and analyzed by utilizing Lyapunov stability analysis. It is proven that the proposed methods are globally exponentially convergent. Finally, the effectiveness of the proposed algorithms is verified by integrating MATLAB and V-REP.KeywordsNash equilibriumUnknown dynamicsSliding mode controlChattering
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 callDisclaimer: 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.
