Synthesis and Implementation of Distributed Supervisory Controllers with Communication Delays

Abstract: In literature, extensive research has been done with respect to synthesis of supervisory controllers. Such synthesized supervisors can be distributed for implementation on multiple physical controllers. This paper discusses a method for distributing a synthesized supervisory controller. In this method, dependency structure matrices are used to distribute a system, the supervisor is then distributed accordingly, using existing localization theory. The existence of communication delays between supervisory controllers is unavoidable in a distributed application. The influence of these delays on the behavior of a supervisor is therefore studied using delay robustness theory. This paper introduces the use of mutex algorithms to make the distributed supervisor delay-robust. A case study is used to demonstrate the method and hardware in the loop testing is used to validate the resulting distributed supervisor.