I worked during the period 86-88 on self tuning control of a pressure control process.
The self tuning controller provided superior performance compared to PID controller in simulation and in real-time process control.
The main issues studied are the robustness of the parameters estimator, the handling of non-linear process model and oscillation detection to ensure the process safety in the case of large identified model error.
I don't know of many practical applications of self tuning control in the process industry.
Please advise if you know of any practical application case studies.