Hybrid Systems and Hybrid Bond Graph Models

A hybrid system consists of interacting continuous and discrete dynamics—a system that can both flow and jump. Hybrid systems emerge from manufacturing system, automotive engine control, chemical process, aerospace engineering as well as embedded control system. There have been intensive research efforts made in the area of hybrid systems in the past decades from different areas, e.g., books [1, 2, 3, 4, 5, 6], and journal special issues [7, 8, 9, 10]. Hybrid systems represent a highly challenging research area that entails various challenging problems that may be approached at varied levels of detail and sophistication. Modeling of hybrid systems is an important step in scientific and engineering discipline and given the inherent complexity of hybrid systems, new methods are required for their design and analysis. This chapter aims to introduce the basic concepts of hybrid systems and some existing tools for modeling hybrid systems. First, a multidisciplinary modeling language, bond graph method is introduced, then an extension of bond graph modeling to hybrid system, i.e., hybrid bond graph, is discussed.

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