Abstract
This study investigates the stability of nonlinear interconnected systems (ISs) with time-delays by designing a decentralized memory-based sampled-data control and it’s an application to power system with doubly fed induction generator (DFIG)-based wind turbines (WTs). Initially, a nonlinear delayed IS is expressed as a delayed Takagi-Sugeno fuzzy ISs based on fuzzy IF-THEN membership rules. Following that, a decentralized sampled-data controller with a memory parameter is designed to ensure the stabilization of the considered ISs. Through constructing Lyapunov-Krasovskii functional by involving the information about the time-delays and sampling periods, delay-dependent stability and stabilization conditions are derived in terms of linear matrix inequalities. The sufficient conditions are guaranteed the asymptotic stability of the closed-loop ISs under a prescribed level of H∞ performance via a decentralized controller. To validate the derived theoretical sufficient conditions, a nonlinear interconnected power systems with DFIG-based WTs is modeled in which a time-delay is considered in the area control error (ACE). Finally, simulation results of the two area ISs are provided to illustrate the effectiveness of the derived theoretical conditions under the designed controller.
Sign-in/Register to access full text options 
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.
