JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2013, Vol. 43 ›› Issue (6): 42-46.

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Partially asymptotically stable and finite-time stable observer design for a class of chained systems

SHEN Yan-jun1, WU Chao-yan2   

  1. 1.College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China;
    2.College of Science, China Three Gorges University, Yichang 443002, China
  • Received:2013-05-15 Online:2013-12-20 Published:2013-05-15

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Abstract:

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 presented. Then, the partially asymptotically stable observer and finitetime observer were constructed respectively. By theories 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.

Key words: chained system, partial asymptotical stability, finite-time stability, observer, homogeneous theory

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