Unified Control Theory from PID to ACPID  

作　　者：Zhezhao Zeng Yuqi Tang Zhezhao Zeng;Yuqi Tang(School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, China;Hunan Zhe-Zhao Automation Control Technology Co. Ltd., Xiangtan, China)

机构地区：[1]School of Electrical and Information Engineering, Changsha University of Science and Technology, Changsha, China [2]Hunan Zhe-Zhao Automation Control Technology Co. Ltd., Xiangtan, China

出　　处：《Advances in Pure Mathematics》2024年第7期523-545,共23页理论数学进展（英文）

摘　　要：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.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.

关 键 词：Insert Nonlinear Systems PID Control ACPID Control Total Disturbance Unified Control Theory Zeng’s Stabilization Rules (ZSR) 

分 类 号：O17[理学—数学]