A case study on formal design of hybrid control systems

The authors present an approach to the design of hybrid systems by a combination of several comprehensive formalization techniques. We use Duration Calculus (DC) to specify the requirement and design at abstract level of system development. Then the high level designs are further refined in control theory. A formal verification may be done either in DC if it is possible, or in predicate calculus using the semantics of DC or theorems from control theory. We show our techniques through a double water tank case study which is one of the benchmark problems for modern process control engineering.