TITLE:
Unified Control Theory from PID to ACPID
AUTHORS:
Zhezhao Zeng, Yuqi Tang
KEYWORDS:
Insert Nonlinear Systems, PID Control, ACPID Control, Total Disturbance, Unified Control Theory, Zeng’s Stabilization Rules (ZSR)
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.14 No.7,
July
25,
2024
ABSTRACT: To address the challenge of achieving unified control across diverse nonlinear systems, a comprehensive control theory spanning from PID (Proportional-Integral-Derivative) to ACPID (Auto-Coupling PID) has been proposed. The primary concept is to unify all intricate factors, including internal dynamics and external bounded disturbance, into a single total disturbance. This enables the mapping of various nonlinear systems onto a linear disturbance system. Based on the theory of PID control and the characteristic equation of a critically damping system, Zeng’s stabilization rules (ZSR) and an ACPID control force based on a single speed factor have been designed. ACPID control theory is both simple and practical, with significant scientific significance and application value in the field of control engineering.