H∞ filtering for nonuniformly sampled systems

Author

Mustafa, Ghulam ; Chen, Tongwen

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB, Canada

fYear

2010

fDate

2-5 May 2010

Firstpage

1

Lastpage

4

Abstract

This paper is concerned with the design of an H_∞ filter for a discrete-time system, for which the measurement is sampled nonuniformly but the control is updated uniformly at a fast rate. It is shown that this type of system can be represented by a discrete-time Markovian jump system by modeling the nonuniform measurement using a Markov chain. A mode-dependent H_∞ filter is constructed. Sufficient LMI conditions are derived to ensure stochastic stability and H_∞ disturbance attenuation for the error system. The effectiveness of the proposed approach is demonstrated through a numerical example.

Keywords

H^∞ control; Markov processes; control system synthesis; discrete time systems; linear matrix inequalities; H_∞ filtering; Markov chain; Markovian jump system; discrete-time system; nonuniformly sampled systems; Attenuation; Control systems; Filtering; Markov processes; Nonuniform sampling; Stability analysis; Velocity measurement; H∞ filtering; Markov jump systems; Nonuniform sampling; stochastic stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical and Computer Engineering (CCECE), 2010 23rd Canadian Conference on

Conference_Location

Calgary, AB

ISSN

0840-7789

Print_ISBN

978-1-4244-5376-4

Electronic_ISBN

0840-7789

Type

conf

DOI

10.1109/CCECE.2010.5575126

Filename

5575126