Modeling and Fault Diagnosis of Hybrid Dynamical Systems: Application to Avionics Systems

Abstract

Hybrid Dynamical Systems (HDS) represent a unique integration of continuous and discrete dynamics, offering robust frameworks for modeling complex physical systems with mixed behavior. This article explores the fundamentals of hybrid systems and hybrid automata, emphasizing their relevance for fault detection and isolation in various industrial fields such as robotics, avionics, and autonomous systems. Through a comprehensive hybrid automaton model, we demonstrate a diagnostic strategy that utilizes time-based intervals to detect deviations, identify failures, and ensure timely responses to system anomalies. The application of this diagnostic framework to an avionics fuel transfer system illustrates the practical utility and effectiveness of hybrid models in fault detection and system recovery, highlighting the critical role of time constraints and logical conditions in operational integrity.