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Wang W., Zeng, Z.Z. and Zhang Z.H. (2023) Auto-Coupling PID Control Method for Delay Weakening of First Order Systems with Large Time Delays. Control Engineering of China.

has been cited by the following article:

• 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.