Behavior verification of hybrid real-time requirements by qualitative formalism

Although modern control theories have been successfully applied to solve a variety of problems, they are often mathematically and physically too specific to describe and analyze the qualitative properties of hybrid real-time systems. In this paper, we propose the use of qualitative formal methods, Compositional Modeling Language (CML) and Causal Functional Representation Language (CFRL) in particular, to specify continuous plant dynamics and the required behavior respectively. The system behavior has been simulated by a qualitative simulator known as the Device Modeling Environment (DME), and verified against the required behavior. Using the Electrical Power System (EPS) as an example, we demonstrate the effectiveness of our approach by illustrating here a simple SCR-style specification can be transformed and analyzed