摘要
当时滞非线性系统具有执行器饱和时,其稳定性无法得到保证.为了寻找饱和时滞非线性系统的稳定控制器,本文阐述了一种间接线性矩阵不等式(LMI)一步抗饱和设计方法.首先,利用Takagi-Sugeno(T-S)模糊模型将一类饱和时滞非线性系统精确重构,引入输出反馈并行分布补偿系统得到闭环控制系统.然后,运用李雅普诺夫稳定性理论,导出闭环系统的稳定条件,利用一个矩阵不等式的等价引理,将闭环系统稳定条件间接的转化为两个LMIs条件,进而得到间接LMI抗饱和补偿算法,同时给出了吸引域估计及其优化模型.最后给出了应用此方案的一个仿真实例.
The stability of time-delay nonlinear systems cannot be guaranteed when it has actuator saturation.Motivated by looking for the stability controller of saturated time-delay nonlinear systems,one-step anti-windup design based on the indirect linear matrix inequality(LMI)approach is proposed in this paper.First,a class of saturated time-delay nonlinear systems can be reconstructed accurately by using Takagi-Sugeno(T-S)fuzzy model,and then the parallel distributed compensation system with output feedback is used to get the closed-loop control systems.Then,the stability conditions of the closed-loop systems are deduced by using Lyapunov stability theory,and the stability conditions of the closed-loop systems can be converted to two LMIs conditions indirectly by using an equivalent lemma of matrix inequality,then the anti-windup compensation algorithm based on indirect LMI approach is given,meanwhile,the attraction domain estimation and its optimization model are presented.Finally,a simulation example is given to illustrate the proposed method.
作者
李豪杰
何汉林
查苗
LI Hao-jie;HE Han-lin;ZHA Miao(Department of Basic Courses,Naval University of Engineering,Wuhan Hubei 430032,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2020年第7期1595-1600,共6页
Control Theory & Applications
基金
国家自然科学基金项目(61374003)
海军工程大学基础研究基金项目(20161475)资助。
