关键词: Delta算子系统, 区域极点配置, 状态观测器, 不确定性, 鲁棒性

Abstract: 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.