摘要
对满足指数1和Lipschtiz条件的多输入多输出非线性微分代数系统,证明了存在合适的采样周期,使得其基于采样输出反馈的状态观测问题可解。借助多输入多输出非线性微分代数系统的向量相对阶概念,可实现系统的等价变换;基于等价系统,构造出了基于采样输出反馈的非线性初始化状态观测器,使得比例观测误差渐近趋于零。应用所提出的方法进行数值仿真,结果验证了该方法的有效性。
For a class of multiple-input multiple-output(MIMO)nonlinear differential algebraic equation system which is of index one and satisfies Lipschitz condition,it is shown that there exists an appropriate sampling period to solve the problem of state observation based on sampled-data output feedback.With the help of the concept of vector relative order of MIMO nonlinear differential algebraic equation system,the equivalent transformation of the system can be realized.By using the equivalent system,a nonlinear initialized state observer based on sampled-data output feedback is constructed,which makes the proportional observation error asymptotically converge to zero.The numerical simulations of the proposed method are carried out,showing the verification of the method proposed.
作者
臧强
潘慧敏
岳华
张凯
ZANG Qiang;PAN Huimin;YUE Hua;ZHANG Kai(School of Automation,Nanjing University of Information Science and Technology,Nanjing 210044,China;Jiangsu Collaborative Innovation Center on Atmospheric Environment and Equipment Technology,Nanjing University of Information Science and Technology,Nanjing 210044,China)
出处
《中国科技论文》
CAS
北大核心
2018年第20期2365-2372,共8页
China Sciencepaper
基金
国家自然科学基金资助项目(51575283)
国家重点研发计划资助项目(2017YFD0701201-02)
关键词
多输入多输出
微分代数系统
采样输出反馈
状态观测器
multiple-input multiple-output
differential algebraic system
sampled-data output feedback
state observer