This paper addresses the problem
of capturing the multiphase nature
of a rotational molding process using subspace identification (SSID)
to enable improved control. Existing SSID techniques are not designed
to utilize any known, multiphase nature of a process in the model
identification stage. This work adapts existing SSID methods to account
for multiple phases by splitting the data into phases during the identification
step and building a distinct SSID model for each phase while carefully
connecting the individual models through the means of subspace states.
This is achieved via a partial least-squares (PLS) model that relates
the final states of the preceding phase to the initial states of the
proceeding phase. This multiphase subspace identification (MPSSID)
approach exploits the ability of SSID techniques for dynamic modeling
of batch processes, which allows for model construction using batches
of nonuniform length. In this work, the proposed approach is applied
to the rotational molding process. For rotational molding, the final
product quality is dependent on the temperature trajectory of the
polymer inside the mold, and the process goes through visibly distinct
phases that can be recognized when a specific temperature (not time)
is reached. Data from past experiments are used to build the model
and validate it, comparing the predictive ability of multiphase models
to conventional one-phase models. Results demonstrate the ability
of the multiphase models to better predict both the temperature trajectories
and final product quality of validation batches.