This paper tackles the challenge of local stabilization control in nonlinear DC-microgrids (DC-MGs) under the threat of energy-constrained Denial-of-Service (DoS) attacks, using a dynamic resilient event-triggered mechanism (DRETM) and a fuzzy-basis-dependent Lyapunov approach. In contrast to previous studies, this paper introduces the operating range of system states, given when transforming the nonlinear DC-MG system into a Takagi-Sugeno (T-S) fuzzy model, as a pivotal constraint, aiming to prevent undesired system behaviors. Moreover, as part of an initial effort to analyze the impact of both DoS attacks and event-driven data transfer schemes on the local stabilization problem, this paper exploits the features of energy-limited DoS attacks and DRETM when deriving necessary conditions to ensure the local operation of the system state. Especially, to enhance the efficiency of the proposed method while minimizing conservatism and computational complexity, this paper eliminates certain unnecessary state constraints typically required when dealing with a closed operating range. Lastly, the validity of the proposed method is illustrated through two numerical examples.

The relaxation method of Tuan et al. (2001, Theorem 2.2) has been used in various studies to deal with parameterized linear matrix inequalities (PLMIs) without excessively increasing computational complexity. Inspired by this point, this paper proposes an improved relaxation method that can further reduce the conservatism of Tuan et al. (2001, Theorem 2.2) despite no additional slack variables, as well as reduce the number of LMIs (and LMI rows). To be specific, the reduction of both conservatism and computational complexity is verified through the well-known stabilization problems of both continuous-time and discrete-time T-S fuzzy systems, which shows the potential of the proposed method for its extension to other PLMI-based stabilization conditions.

This study is devoted to controlling a class of non‐linear systems in the presence of packet transmission delays, packet losses and sampling‐related phenomena over a communication network. To increase the applicability of the Takagi–Sugeno (T–S) fuzzy approach for non‐linear networked control systems, this study sets the premise variables in T–S fuzzy plant and control to be asynchronous and then introduces a useful relaxation technique in a better position to handle the asynchronous problem. Moreover, this study provides a method capable of exploiting fully the induced delay term d ( t ) from the derivation of robust stabilisation condition.