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.
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