基于LMI的二自由度飞行器多变量控制  

Multivariable Control of Two Degree of Freedom Aircraft Based on LMI

作　　者：高兴泉[1,2] 范砚策 郭峰 GAO Xingquan;FAN Yance;GUO Feng(School of Information and Control Engineering,Jilin University of Chemical Technology,Jilin,Jilin 132022,China;Jilin Industrial Vocational and Technical College,Jilin,Jilin 132013,China)

机构地区：[1]吉林化工学院信息与控制工程学院,吉林吉林132022 [2]吉林工业职业技术学院,吉林吉林132013

出　　处：《自动化应用》2024年第3期63-68,共6页Automation Application

基　　金：基于深度学习的数控加工智能化关键技术与系统开发项目(212551GX010288291);基于微分平坦的多容耦联水罐液位系统优化控制方法研究项目(JJKH20200252K)。

摘　　要：针对二自由度飞行器存在非线性特性、强耦合性以及易受外界干扰等问题,提出了基于LMI的二自由度飞行器多变量控制方法。首先,根据二自由度飞行器系统的输入和输出变量,结合空间动力学方程建立了系统的状态空间模型;其次,设计满足静态输出反馈稳定的多变量控制律;然后,通过李亚普托夫稳定性定理与极点配置法,将控制系统稳定性问题转化为优化问题,利用线性矩阵不等式(LMI)求解满足最优性能指标的多变量控制器参数;最后,通过对比仿真分析与单变量PID,表明该方法能有效提升二自由度飞行器的轨迹跟踪精度。A multivariable control method based on LMI is proposed to address the nonlinear characteristics,strong coupling,and susceptibility to external interference of a two degree of freedom aircraft.Firstly,based on the input and output variables of the two degree of freedom aircraft system,a state space model of the system was established by combining spatial dynamics equations.Secondly,design a multivariable control law that satisfies static output feedback stability.Then,by using Lyapunov stability theorem and pole assignment method,the stability problem of the control system is transformed into an optimization problem,and linear matrix inequality(LMI)is used to solve the multivariable controller parameters that meet the optimal performance index.Finally,by comparing simulation analysis with single variable PID,it is shown that this method can effectively improve the trajectory tracking accuracy of a two degree of freedom aircraft.

关 键 词：二自由度飞行器 多变量系统 LMI优化 控制器参数整定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]