An approach to stability and controllability analysis in batch processes using set theory methods

A barely approached of the topics in the area of Batch Process (BP) Control is controllability and stability analysis. This is because the dynamic characteristic of BPs makes the traditional analysis of these properties harder. Characteristics like the transitory dynamics of the states and the irreversibility of the states (from the dynamic systems point of view) are serious obstacles for the use of classic tools to make an analysis of stability and controllability in BP, therefore, other tools should be used in order to come closer to a theoretical analysis on BP control. One approach is the use of some set theory's definitions. This paper uses the Controllable Trajectories Sets (CTS) to carry out a theoretical analysis on BP control.