Title :
Periodically Time-Varying
Memory Filter Design for Discrete-Time LTI Systems With Polytopic Uncertainty
Author :
Dong Hwan Lee ; Young Hoon Joo ; Myung Hwan Tak
Author_Institution :
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
Abstract :
This technical note focuses on the development of a general periodically time-varying memory filter (PTVMF) to improve the robust H∞ filtering performance for discrete-time linear time-invariant (LTI) systems with polytopic parameter uncertainties. A sufficient condition to design the H∞-PTVMF is given in terms of convex optimizations expressed as linear matrix inequalities (LMIs). Finally, examples demonstrate its potential less conservatism.
Keywords :
H∞ filters; control system synthesis; convex programming; discrete time systems; linear matrix inequalities; time-varying filters; time-varying systems; H∞ filtering; H∞-PTVMF design; convex optimizations; discrete-time LTI systems; discrete-time linear time-invariant systems; linear matrix inequalities; periodically time-varying H∞ memory filter; polytopic uncertainty; sufficient condition; Estimation; Linear matrix inequalities; Lyapunov methods; Matrices; Optimization; Robustness; Symmetric matrices; Linear matrix inequality (LMI); linear time-invariant (LTI) system; periodically time-varying memory filter (PTVMF); polytopic uncertainty; robust ${cal H}_{infty}$ filtering;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2289705