Optimal Finite-Time State Estimation for Discrete-Time Switched Systems under Switching Frequency Constraint

Lin Du, Weiming Xiang, Yongchi Zhao

Research output: Contribution to journalArticle


The state estimation problem for a class of switched linear systems which only switches in some short interval is addressed. Besides the asymptotic stability of error dynamics, the boundness of error state is a significant issue for short-time switched systems. By introducing the concept of finite-time stability, the state estimation procedure is formulated to determine appropriate observer gains ensuring the error dynamics is finite-time stable in the short-time switching intervals of interest. Optimal finite-time observers are designed through iterative algorithms to minimize the bound of error state, in the cases with and without disturbances. Particularly, when the total activation time is known, a less conservative result can be derived and an optimization problem can be solved with the help of the genetic algorithm. A numerical example is provided to illustrate the theoretical findings in this paper.

Original languageEnglish (US)
Article number512485
JournalMathematical Problems in Engineering
Publication statusPublished - Jan 1 2014
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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