山东大学学报（工学版）
山東大學學報（工學版）
산동대학학보（공학판）
JOURNAL OF SHANDONG UNIVERSITY(ENGINEERING SCIENCE)
2013年
6期
42-46
,共5页
链式系统%部分变元渐近稳定%部分变元有限时间稳定%观测器%齐次理论
鏈式繫統%部分變元漸近穩定%部分變元有限時間穩定%觀測器%齊次理論
련식계통%부분변원점근은정%부분변원유한시간은정%관측기%제차이론
chained system%partial asymptotical stability%finite-time stability%observer%homogeneous theory
设计了链式系统部分变元渐进稳定、有限时间稳定观测器。给出了链式系统部分变元渐近稳定观测器和部分变元有限时间稳定观测器的定义，构造部分变元渐近稳定观测器和部分变元有限时间稳定观测器，利用齐次理论和Lyapunov稳定理论证明观测误差的渐近收敛性和有限时间收敛性。仿真结果验证了该方法的有效性。
設計瞭鏈式繫統部分變元漸進穩定、有限時間穩定觀測器。給齣瞭鏈式繫統部分變元漸近穩定觀測器和部分變元有限時間穩定觀測器的定義，構造部分變元漸近穩定觀測器和部分變元有限時間穩定觀測器，利用齊次理論和Lyapunov穩定理論證明觀測誤差的漸近收斂性和有限時間收斂性。倣真結果驗證瞭該方法的有效性。
설계료련식계통부분변원점진은정、유한시간은정관측기。급출료련식계통부분변원점근은정관측기화부분변원유한시간은정관측기적정의，구조부분변원점근은정관측기화부분변원유한시간은정관측기，이용제차이론화Lyapunov은정이론증명관측오차적점근수렴성화유한시간수렴성。방진결과험증료해방법적유효성。
Partially asymptotically stable observer and finite-time observer for a class of chained systems were designed. The definition of partially asymptotically stable observer and finite-time observer for the chained systems were presen-ted.Then, the partially asymptotically stable observer and finite-time observer were constructed respectively.By theo-ries of homogeneity and Lyapunov stability, the asymptotical stability and finite-time stability of the observation errors were proved.At last, the validity of the method was demonstrated by a numerical example.
