Hi, I am doing research on the control of a coupled dynamic system. I am trying to design a controller for this kind of system. There are some questions:

1. How to solve the coupling problem when designing the controller?

2. If I am using the PID control for each channel, it means I will design several controller. But there is a assumption that the PID controller designed for each channel is decoupled. Thus, I may neglect some coupling relationship among the system. Likewise, If I choose the reinforcement learning to control each channel, I have to think over the coupling relationship too. How can I deal with the coupled dynamic system?

Thank you.