Design of fuzzy dissipative sampled-data control for nonlinear wind turbine systems with random packet losses and communication delays

Abstract

This article investigates a \(({\mathscr {Q}},{\mathscr {S}},{\mathscr {R}})\)-\(\upsilon \)-dissipativity-based fuzzy memory sampled-data design control (MSDC) for stabilizing a nonlinear wind turbine system (WTS) against random packet losses that uses a permanent magnet synchronous generator (PMSG). To do this, the proposed control method employs Takagi–Sugeno (T–S) fuzzy approach to convert the nonlinear model of the system into linear sub-systems. Moreover, a fuzzy MSDC is designed, and a proper Lyapunov–Krasovskii functional (LKF) is formulated using the knowledge of the sampling information. Subsequently, the looped-type LKF facilitates the establishment of criteria for stabilizing the PMSG-based WTS, taking into account the sampling interval duration and a consistent communication delay. Besides, the conditions are described as linear matrix inequalities (LMIs), ensuring global asymptotic stability and \(({\mathscr {Q}},{\mathscr {S}},{\mathscr {R}})-\upsilon -\) dissipative of T–S fuzzy systems with the suggested control mechanism. At last, the efficacy and superiority of the proposed approach are illustrated through numerical validations of the PMSG-based WTS.