Error Shifting-Based Fuzzy Event-Triggered Control for Switched Interconnected Nonlinear Full-State Constrained Systems

Abstract

This article addresses the event-triggered decentralized adaptive fuzzy control problem for uncertain switched interconnected nonlinear systems under deferred asymmetric and time-varying full state (DATVFS) constraints. Fuzzy logic systems are utilized to estimate undetermined nonlinear functions and interconnected terms. By employing an error-shifting transformation and a novel asymmetric Barrier Lyapunov Function, we present a control approach that handles DATVFS constraints under completely unknown initial conditions and ensures that these constraints are satisfied within a specified time frame, even if initially violated. Utilizing the common Lyapunov function approach, a novel event-triggered decentralized control scheme is developed. Additionally, a new switching event-triggered threshold strategy is introduced to balance system efficiency with network constraints, which enhances the practical relevance of the proposed approach. Finally, a practical example confirms the validity of these theoretical results. Note to Practitioners—This work is motivated by the challenges of designing decentralized controllers for large-scale interconnected nonlinear systems operating under deferred asymmetric and time-varying full state (DATVFS) constraints. In practical engineering systems such as power grids, robotic swarms, and networked control systems, state variables often face strict asymmetric bounds that may change over time. Existing decentralized adaptive control methods typically assume known initial conditions and symmetric constraints, which limits their applicability. By introducing an error-shifting transformation and a novel asymmetric Barrier Lyapunov Function, the proposed method allows practitioners to handle unknown initial conditions and guarantee satisfaction of DATVFS constraints within a prescribed time, even if constraints are violated at the start. Moreover, the proposed event-triggered threshold strategy reduces unnecessary communication and control updates, making it attractive for resource-constrained environments. The practicality and effectiveness of the approach are illustrated through application case, confirming its potential for deployment in distributed engineering systems subject to dynamic safety requirements.