高阶非线性未知系统的ACPI控制方法  

An ACPI Control Method for High-Order Nonlinear Unknown System

作　　者：许惠清 曾喆昭[1] 陈泽宇 XU Huiqing;ZENG Zhezhao;CHEN Zeyu(College of Electric and Information Engineering,Changsha University of Science and Technology,Changsha 410000,China)

机构地区：[1]长沙理工大学电气与信息工程学院,长沙410000

出　　处：《电光与控制》2022年第1期42-46,共5页Electronics Optics & Control

基　　金：湖南省教育厅重点项目(17A006);电力系统省重点实验室项目(PROF2001)。

摘　　要：针对一类含有非匹配干扰的高阶非线性未知系统的控制问题,采用一种基于自耦比例-积分(ACPI)控制理论的虚拟递推控制方法,该方法通过引入未知状态和总和扰动的概念,将非匹配非线性系统映射为等价的线性未知系统,并构建了一个在总和扰动反相激励下的受控误差系统,结合ACPI控制理论构造了以速度因子为核心联系因子的ACPI虚拟指令,为了有效避免反步控制中存在的“微分爆炸”问题,将各虚拟指令的微分定义为未知有界扰动。仿真结果表明了ACPI控制系统不仅具有良好的动态品质和稳态性能,而且具有良好的抗扰动鲁棒性,因而在高阶非线性未知系统控制领域具有广泛的应用前景。For the control problem of a class of high-order unknown nonlinear systems with unmatched interference,a virtual recursive control method based on Auto-Coupling Proportional-Integral(ACPI) control theory is proposed.By introducing an unknown state and the concept of total disturbance,the unmatched nonlinear system is mapped into an equivalent linear unknown system,and a controlled error system excited by total disturbance in reverse phase is constructed.The ACPI virtual instructions with speed factor as the core linkage factor are constructed in combination with ACPI control theory.In order to effectively avoid the problem of “differential explosion” in back-stepping control,the differential of each virtual instruction is defined as unknown bounded disturbance.Simulation results show that ACPI control system not only has good dynamic quality and steady-state performance,but also has good robustness against disturbance,so it has a wide application prospect in the control field of high-order nonlinear unknown systems.

关 键 词：非匹配非线性未知系统 ACPI控制理论 虚拟递推控制 自适应速度因子 大范围鲁棒稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]