"Closed Proportional-Integral-Derivative-Loop Model" Following Control
This work addresses the challenge of designing PID controllers for dynamical systems, offering an incremental improvement by automating the tuning process for engineers and practitioners in control systems.
The paper tackles the problem of automatic PID controller design by introducing the 'closed PID-loop model' following control (CPLMFC) method, which guarantees accurate and stable closed-loop adaptive PID control performance in real-time, as demonstrated through simulations with performance indices.
The proportional-integral-derivative (PID) control law is often overlooked as a computational imitation of the critic control in human decision. This paper provides a formulation to remedy this problem. Further, based on the characteristic settling-behaviour of dynamical systems, the "closed PID-loop model" following control (CPLMFC) method is introduced for automatic PID design. Also, a method for closed-loop settling-time identification is provided. The CPLMFC algorithm and some recommended guidelines are given for setting the critic weights of the PID. Finally, two representative case-studies are simulated. Both the theoretical results and simulation results (via performance indices) illustrate that the CPLMFC can guarantee both accurate and stable closed-loop adaptive PID control performance in real-time