This paper proposes a robust state observer for linear time-invariant descriptor systems in which parametric uncertainty exists in the derivative, the system, and the input matrices of the system. The proposed approach is based on a new parameterization in state variables such that in the new model, the derivative matrix is known. An observer is suggested for estimating the state of the new model. Sufficient conditions are obtained for the convergence of the observer in the form of a linear matrix inequality (LMI), which can be solved by the YALMIP toolbox. Numerical examples accompanied by comparison are presented to demonstrate the efficient performance of the proposed observer.

中文翻译：

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一类不确定线性时不变描述符系统的鲁棒状态估计

本文提出了一种用于线性时不变描述符系统的鲁棒状态观测器，其中参数不确定性存在于导数、系统和系统的输入矩阵中。所提出的方法基于状态变量中的新参数化，使得在新模型中，导数矩阵是已知的。建议使用观察者来估计新模型的状态。以线性矩阵不等式 (LMI) 的形式获得观察者收敛的充分条件，可以通过 YALMIP 工具箱求解。给出了带有比较的数值示例，以证明所提出的观察者的有效性能。