Finite-time observer design for a class of Markovian jump systems

Chengyong Xiao, Weiming Xiang

Research output: Contribution to journalConference article

Abstract

Markovian jump systems are often used to model occurrence of failures and repairs in manufacturing systems. This note concerns the state estimation problem for a class of Markovian jump systems, where the Markovian jump only occurs in some short time intervals. For this class of Markovian jump systems, the boundness of estimation error deserves our investigation. By introducing the concepts of finite-time stochastic stability, an observer ensuring the estimation error bounded in a prescribed boundary is constructed and the result is extended to γ-disturbance attenuation case. A design algorithm is proposed when some parameter optimization is involved. Numerical design examples are given to illustrate the effectiveness of our results.

Original languageEnglish (US)
Pages (from-to)949-953
Number of pages5
JournalAdvanced Materials Research
Volume482-484
DOIs
StatePublished - Apr 4 2012
Externally publishedYes
Event3rd international Conference on Manufacturing Science and Engineering, ICMSE 2012 - Xiamen, China
Duration: Mar 27 2012Mar 29 2012

Keywords

  • γ-disturbance attenuation
  • Finite-time stochastic stability
  • Short-time Markovian jump system
  • State estimation

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'Finite-time observer design for a class of Markovian jump systems'. Together they form a unique fingerprint.

  • Cite this