Impulsive functional observers for linear systems

Wu-Hua Chen; Dan-Xia Li; Xiaomei Lu

doi:10.1007/s12555-011-0521-8

Impulsive functional observers for linear systems

Wu-Hua Chen
, Dan-Xia Li
, Xiaomei Lu

Research output: Contribution to journal › Article › peer-review

31 Citations (Scopus)

Abstract

The impulsive functional observer design problem for linear systems is addressed. Piecewise differentiable Lyapunov functions are introduced to analyze the stability of the error dynamics. Sufficient conditions for the existence of the impulsive functional observers that are capable of exponentially estimating any given function of the state vector are derived. Numerical examples are presented to demonstrate the effectiveness of the proposed results.

Original language	English
Pages (from-to)	987-992
Number of pages	6
Journal	International Journal of Control, Automation and Systems
Volume	9
Issue number	5
DOIs	https://doi.org/10.1007/s12555-011-0521-8
Publication status	Published - 2011

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title = "Impulsive functional observers for linear systems",

abstract = "The impulsive functional observer design problem for linear systems is addressed. Piecewise differentiable Lyapunov functions are introduced to analyze the stability of the error dynamics. Sufficient conditions for the existence of the impulsive functional observers that are capable of exponentially estimating any given function of the state vector are derived. Numerical examples are presented to demonstrate the effectiveness of the proposed results.",

author = "Wu-Hua Chen and Dan-Xia Li and Xiaomei Lu",

year = "2011",

doi = "10.1007/s12555-011-0521-8",

language = "English",

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AU - Chen, Wu-Hua

AU - Li, Dan-Xia

AU - Lu, Xiaomei

PY - 2011

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N2 - The impulsive functional observer design problem for linear systems is addressed. Piecewise differentiable Lyapunov functions are introduced to analyze the stability of the error dynamics. Sufficient conditions for the existence of the impulsive functional observers that are capable of exponentially estimating any given function of the state vector are derived. Numerical examples are presented to demonstrate the effectiveness of the proposed results.

AB - The impulsive functional observer design problem for linear systems is addressed. Piecewise differentiable Lyapunov functions are introduced to analyze the stability of the error dynamics. Sufficient conditions for the existence of the impulsive functional observers that are capable of exponentially estimating any given function of the state vector are derived. Numerical examples are presented to demonstrate the effectiveness of the proposed results.

UR - http://handle.uws.edu.au:8081/1959.7/535866

U2 - 10.1007/s12555-011-0521-8

DO - 10.1007/s12555-011-0521-8

M3 - Article

SN - 1598-6446

VL - 9

SP - 987

EP - 992

JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

IS - 5

ER -

Impulsive functional observers for linear systems

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