Design of a data-oriented control system for a p-inputs/q-outputs (p > q) multivariable system

In recently years, the research on a scheme to adjust the control parameters from input/output experimental data without constructing a model is conducted. This research is specifically conducted on PID control, because it has a simple structure and its physical meanings are clear. On the other hand, it is by no means rare to deal with multivariable systems in industries. However, it is difficult for a multivariable system to obtain desired control performance due to interaction. Therefore, in this paper, the data-oriented design scheme of the PID controller for p-inputs/q-outputs (p > q) multivariable system is proposed. The control law is derived based on minimizing GMVC (Generalized Minimum Variance Control), and the control parameters are replaced by PID parameters. The effectiveness is numerically verified through some simulation examples.