具有环路复现特性的Luenberger观测器设计(一)

环路复现特性的保持是观测器—状态反馈控制系统设计中的一个重要问题。首先得到了一个矩阵方程的显式解析通解;然后利用所得结果将观测器控制系统设计中的环路复现条件转化为系统中的自由参数表示;最后,给出了进一步完善了的具有环路复现特性的Luenberger观测器设计算法,数值例子说明了算法的简单、有效性。

DESIGN OF LUENBERGER OBSERVERS WITH LOOP TRANSFER RECOVERY

Loop transfer recovery is an important property of observer-based control systems. In this paper a simple effective approach is presented for design of Luenberger observers with loop recovery property. An explicit analytical general solution of the matrix equation TA-FT = LC is first deduced, and the loop transter recovery condition is then formulated in form of a group of free parameters ultilizing the obtained general solution of the matrix equation; finally using the obtained formulation of the loop tra-sfer recovery condition, a design algorithm for Luenberger observers with loop transfer recovery is proposed. The proposed approach is simpler and more effective then past results, and also allows the observer poles to be selected as part of the design freedom within certain desired region. A numerical example shows the simplicity and the effect of the proposed approach.