一类三阶非线性不确定系统的PID控制器设计  

PID Controller Design for a Class of Third Order Nonlinear Uncertain Systems

作　　者：王雯雯 白占兵 WANG Wenwen;BAI Zhanbing(College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590

出　　处：《数学建模及其应用》2022年第2期26-33,共8页Mathematical Modeling and Its Applications

基　　金：山东省自然科学基金(ZR2021MA064)。

摘　　要：研究一类三阶非线性不确定系统,获得了新的PID控制器参数的设计方法,通过构造Lyapunov函数证明了闭环控制系统的全局稳定性.构造了一个四维流形,只要非线性函数偏导数的上界满足一定的条件,就可以从该流形中任意选择4个PID控制器参数,使一类三阶非线性不确定系统全局稳定.This paper focuses on a class of third-order nonlinear uncertain systems,obtains a new design method of PID controller parameters,and proves the global stability of the closed-loop control system by constructing Lyapunov function.We construct a four-dimensional manifold.As long as the upper bound of the partial derivative of the nonlinear function satisfies certain conditions,we can arbitrarily select four PID controller parameters from the manifold to make a class of third-order nonlinear uncertain systems globally stable.

关 键 词：非线性系统 PID控制器 LYAPUNOV函数 稳定性 参数流形 

分 类 号：O29[理学—应用数学]