Title :
On design of reduced-order H∞ filters for discrete-time systems from incomplete measurements
Author :
Zhou, Shaosheng ; Zheng, Wei Xing
Author_Institution :
Sch. of Autom., Hangzhou Dianzi Univ., Hangzhou, China
Abstract :
In networked control systems, when data are transmitted over wireless channels, measurements of the transmitted data are often incomplete due to transmission errors and/or packet losses. The problem of designing reduced-order H∞ filters for discrete-time systems from incomplete measurements is investigated in this paper. A Bernoulli distributed white sequence is adopted as a model for the normal operating condition of packet delivery and transmission failure. The reduced-order filter to be designed from incomplete measurements is required to to ensure the mean-square stability of the filtering error system and to guarantee a prescribed H∞ filtering performance level. It is shown that such a desired reduced-order H∞ filter can be constructed under a sufficient condition expressed in terms of two linear matrix inequalities (LMIs) subject to a rank constraint.
Keywords :
H∞ control; control system synthesis; discrete time systems; filtering theory; linear matrix inequalities; mean square error methods; reduced order systems; stability; wireless channels; Bernoulli distributed white sequence; discrete-time systems; filtering error system; linear matrix inequalities; mean-square stability; networked control systems; reduced-order H∞ filters; wireless channels; Communication channels; Computer networks; Control systems; Design automation; Filtering; Linear matrix inequalities; Loss measurement; Nonlinear filters; Propagation losses; Symmetric matrices;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738919
