MIMO非线性DAE系统的采样输出反馈观测器设计

摘要

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.%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.