%0 Journal Article
%T Unified Control Theory from PID to ACPID
%A Zhezhao Zeng
%A Yuqi Tang
%J Advances in Pure Mathematics
%P 523-545
%@ 2160-0384
%D 2024
%I Scientific Research Publishing
%R 10.4236/apm.2024.147030
%X 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.
%K Insert Nonlinear Systems
%K PID Control
%K ACPID Control
%K Total Disturbance
%K Unified Control Theory
%K Zeng&#8217
%K s Stabilization Rules (ZSR)
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=134797