Robust hybrid control from a behavioural perspective

Abstract

This paper investigates the synthesis of discrete supervisors for hybrid systems where the control objective is to enforce a language inclusion specification in the presence of plant uncertainty. The discussion is set within Willems' behavioural system theory, where we find a relationship between robustness of closed-loop performance and earlier results on abstraction based synthesis. From this relationship, we develop our main result: a method for the synthesis of robust supervisory controllers. Note that virtually any engineering system must possess some amount of robustness in order to fulfil even minimal reliability requirements. This commonly accepted fact is of a particular importance for hybrid control systems, since the motivating application areas are safety-critical and high-confidence systems as air traffic control or medical instrumentation.