Delta算子系统D稳定鲁棒状态观测器的设计方法

Design of D-Stable Robust State Observer for Delta Operator Systems

研究了Delta算子描述的线性不确定系统基于圆形区域极点配置的状态观测器(定义作D稳定鲁棒状态观测器)的设计问题·利用离散的Delta算子代数Ricatti方程,给出了一类参数不确定Delta算子系统D稳定鲁棒状态观测器存在的一个充要条件及其设计方法,这一表述,有利于进行理论推导·为便于计算将这一结果转化成线性矩阵不等式·所设计的D稳定鲁棒状态观测器具有很好的鲁棒性,并将连续与离散系统有关该问题的结果统一到了Delta算子框架中·

The design of a state observer based on the pole assignment in a circular region is studied for uncertain delta operator systems, which is defined as a D-stable robust state observer. Utilizing the algebraic Riccati equations of discrete Delta operators, a necessary and sufficient condition is given to the existence of the D-stable robust state observer for a class of delta operator systems with uncertain parameters and its design method. It will be beneficial to theoretical derivation and, further, to the calculation to transform the outcome as above into linear matrix inequalities. The D-stable robust state observer thus designed has a good robustness and is able to unify the unsolved problems related to continuous and discrete time systems together within a Delta operator framework.