Optimal Finite-Time State Estimation for Discrete-Time Switched Systems under Switching Frequency Constraint. (24th July 2014)

• Record Type: Journal Article
• Authors: Du, Lin; Xiang, Weiming; Zhao, Yongchi
• Other Names: Sun Xi-Ming Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-07-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/512485
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.