Mathematical Analysis for Algebraic Equivalent Characteristic on Observer

摘要：

Even if the transfer function G(s) of a control system is given, but the practical observer should be designed according to G1(s) that is a equivalent form of the G(s) because of some uncertain reason. Based on the algebra equivalent concept of linear system theory, the mathematical definitions of three types of algebra observer are presented, those are named as full dimension algebra equivalent state observe, algebra equivalent Luenberger state observer and algebra equivalent Luenberger function observer. And the conditions of these three observers coming into existing are proved by mathematical analysis; the close-loop transfer functions of state feedback control system based on these observers are deduced. The result shows that it is different that the close-loop transfer function of feedback control system based on different observer, even that is algebra equivalent; and when the G1(s) is certain, the three types of algebra equivalent observer have the same effect on the close-loop system. This paper also proves that the separation principle suits for the state feedback control system based on the algebra equivalent observe.

关键词： Linear System Algebra Equivalent state observer separation principle state feedback

作者: HAN Zhong-xu CAI Jun QI Xiao-hong LI Dan GAO Chun-yu

作者单位: China Electric Power Research Institute, China Beijing Guodian Zhishen Control Technology Ltd.Co., China Northeast Dianli University, China

会议类型: 国际会议

会议名称: 2nd IEEE Conference on Industrial Electronics and Applications(ICIEA 2007)(第二届IEEE工业电子与应用国际会议)

会议地点: 哈尔滨

会议语种:英文

在线出版日期: 2007-05-23（万方平台首次上网日期，不代表论文的发表时间）