Title :
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
Abstract :
This paper reviews the mixed H2/Hinfin 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 :
Hinfin 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/Hinfin 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;
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
DOI :
10.1109/ICARCV.2008.4795889
