基于扰动补偿的无微分模型参考自适应控制系统设计  

Design of derivative-free model-reference adaptive control for a class of uncertain systems based on disturbance compensation

作　　者：高东旭 周兰[1] 陈静[2] 潘昌忠[1] GAO Dong-xu;ZHOU Lan;CHEN Jing;PAN Chang-zhong(School of Information and Electrical Engineering,Hunan University of Science and Technology,Xiangtan Hunan 411201,China;School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan Hunan 411201,China)

机构地区：[1]湖南科技大学信息与电气工程学院,湖南湘潭411201 [2]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《控制理论与应用》2023年第4期735-743,共9页Control Theory & Applications

基　　金：国家自然科学基金项目(61673167);湖南省自然科学基金项目(2021JJ30006);湖南省教育厅科研项目(21A0321)资助。

摘　　要：针对一类含有参数不确定性和未知非线性扰动的系统,本文提出一种基于扰动补偿的无微分模型参考自适应控制方法,实现系统输出对参考模型输出信号的高精度跟踪.首先,利用被控对象模型信息设计扰动估计器,对系统非线性扰动进行在线估计;其次,基于非线性扰动估计值设计参考模型和无微分参数更新律,构建无微分模型参考自适应控制器,建立基于扰动补偿和状态反馈的自适应控制律,以消除参数不确定性和非线性扰动对系统输出的影响,保证系统输出对参考模型输出的准确跟踪;然后,给出闭环系统误差信号收敛条件和控制器参数整定方法;最后,通过数值仿真验证所提方法的有效性和优越性.This paper presents a derivative-free model-reference adaptive control(DF-MRAC)method for a class of systems with parameter uncertainties and nonlinear disturbances based on the active disturbance estimation and compensation approach so as to achieve the high-precision tracking for reference model output signal.First,exploiting the available model information of the controlled plant,a disturbance estimator is designed to estimate the unknown nonlinear disturbances.Next,a reference model based on the estimate of nonlinear disturbances and a derivative-free parameter update law are designed to estimate the parameter uncertainties.The estimate of uncertainties is incorporated into a DF-MRAC controller to yield an adaptive control law based on the disturbance compensation and state feedback that effectively compensate for the nonlinear disturbances and parameter uncertainties.Then,the convergence conditions for the error signals of the closed-loop system are investigated and a regulation method for the controller parameters is developed.Finally,simulation results demonstrate the effectiveness and superiority of the proposed method.

关 键 词：模型参考自适应控制 扰动估计器 参数不确定性 非线性扰动 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]