"Closed Proportional-Integral-Derivative-Loop Model" Following Control

TL;DR

This paper introduces the closed PID-loop model following control (CPLMFC) method for automatic PID design, ensuring accurate and stable real-time adaptive control through a novel formulation and case studies.

Contribution

It presents a new CPLMFC method for automatic PID tuning based on system settling behavior, improving stability and performance in real-time control.

Findings

CPLMFC guarantees stable closed-loop adaptive PID control.

The method achieves accurate control performance in simulations.

Guidelines for critic weight setting enhance practical implementation.

Abstract

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