ON QUALITATIVE BEHAVIOURS OF A CLASS OF PIECEWISE-LINEAR CONTROL SYSTEMS. PART II. A CASE STUDY

Qualitative models of complex systems recently emerged as useful tools for behaviour prediction in case of incomplete system knowledge or as a variant to a difficult analytical analysis. A class of piecewise (PL) differential systems can be abstracted to a logical automaton, within a hybrid control systems (HCS) framework from control engineering, and the resulting discrete evolution provides information about the qualitative behaviours; of the continuous system. The basic general models and related design problems were presented in Part I. Part II presents, within a case study, a solution to the problem of constructing a logical automaton as a discrete event abstraction of a PL differential system. Relevant qualitative evolutions are successfully checked against simulated trajectories and future research directions are proposed.