Mixed H2/H∞ filtering for polytopic discrete-time systems with parameter dependent lyapunov functions

Author

Hui, Li ; Tianshu, Wang ; Tao, Zhang ; Jingyan, Song

Author_Institution

Dept. of Autom., Tsinghua Univ., Beijing

fYear

2008

fDate

17-20 Dec. 2008

Firstpage

2289

Lastpage

2294

Abstract

This paper reviews the mixed H₂/H_infin filtering problem for linear time-invariant discrete-time systems with polytopic uncertainty. By introducing some additional free variables, a parameter dependent Lyapunov stability condition other than the quadratic stability condition is obtained in a polytopic domain, and then a much less conservative filter design approach is presented via solving some LMIs formulated with correspondence to polytopic vertices.

Keywords

H^infin control; Lyapunov methods; discrete time systems; filtering theory; functions; linear matrix inequalities; linear systems; stability; uncertain systems; Lyapunov stability; linear matrix inequality; linear time-invariant discrete-time system; mixed H₂/H_infin filtering design approach; parameter dependent Lyapunov function; polytopic discrete-time systems; polytopic uncertainty; Control systems; Estimation error; Filtering; Hydrogen; Lyapunov method; Nonlinear filters; Robotics and automation; Stability; Uncertainty; Upper bound; LMIs; Polytopic uncertainty; mixed H2/H∞ filtering; parameter dependent Lyapunov functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision, 2008. ICARCV 2008. 10th International Conference on

Conference_Location

Hanoi

Print_ISBN

978-1-4244-2286-9

Electronic_ISBN

978-1-4244-2287-6

Type

conf

DOI

10.1109/ICARCV.2008.4795889

Filename

4795889