Extended real-time logic for hybrid systems controller design

Summary form only given. Hybrid systems are systems which combine both continuous variable and discrete event dynamics. Their complexity has risen to the extent that traditional approaches which dealt separately with the continuous and discrete aspects of such systems have become obsolete. Instead of proposing a novel formal notation for the specification of controllers for hybrid systems we have developed extended real time Logic (ERTL) as a formal notation for the modelling and analysis of relative and absolute timing properties of hybrid systems. ERTL embeds the discrete system model of the real time logic (RTL) of Jahanian and Mok (1986, 1988) into continuous time, and adds the ability to reason about piecewise continuous functions using predicates over real valued variables. While RTL is able to formally describe the behaviour of computational entities in the time domain, ERTL also permits the formal description of the behaviour of physical entities in both value and time domains.