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给出了满足Lipschitz条件的离散非线性时滞系统的全维、降维观测器的设计方法和误差收敛的充分条件,并分别进行了证明.全维观测器通过将带有非线性项的矩阵不等式转化为两步线性矩阵不等式解出两个增益矩阵.降维观测器则通过解线性矩阵不等式(LMI)方便地获得观测器的增益矩阵,消除了增益矩阵选取的盲目性.通过对同一模型的仿真分析,两种观测器的状态估计误差均能迅速收敛到0,表明了所提出方法的有效性.
The sufficient conditions for the design of full-dimension and reduced-dimensional observer for discrete nonlinear time-delay systems that satisfy Lipschitz condition and the error convergence are given and proved separately. The full-dimensional observer can obtain the full- Inequalities into two-step linear matrix inequalities solve two gain matrices.Dimensional dimension observer can obtain observer gain matrix easily by solving linear matrix inequality (LMI), and eliminate the blindness of gain matrix selection.On the same model The simulation results show that the error of state estimation of both observers converges rapidly to zero, which shows the effectiveness of the proposed method.