Robust H∞ -filtering design with pole placement constraint via linear matrix inequalities
Journal of Optimization Theory and Applications
Robust Kalman Filtering for Signals and Systems with Large Uncertainties
Robust Kalman Filtering for Signals and Systems with Large Uncertainties
Automatica (Journal of IFAC)
Robust filtering for 2-D discrete-time linear systems with convex-bounded parameter uncertainty
Automatica (Journal of IFAC)
Robust mixed generalized H2/H∞ filtering of 2-D nonlinear fractional transformation systems
IEEE Transactions on Signal Processing
Robust filtering for 2-D state-delayed systems with NFT uncertainties
IEEE Transactions on Signal Processing
H/sub 2//H/sub /spl infin// filter design for systems with polytope-bounded uncertainty
IEEE Transactions on Signal Processing
Brief paper: Robust finite frequency H∞ filtering for uncertain 2-D Roesser systems
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
This paper is concerned with the problem of robust finite frequency (FF) H"~ filtering for uncertain two-dimensional (2-D) discrete-time systems in the Fornasini-Marchesini local state-space (FM LSS) model with polytopic uncertain parameters. The goal of the paper is to design filters such that the FF H"~ norm of the filtering error system has a specified upper bound for all uncertainties. In light of a recently developed generalized bounded real lemma, a linear matrix inequality-based approach is proposed for robust FF H"~ filter analysis and design. It is demonstrated that the presented approach to robust FF H"~ filter design covers the latest standard H"~ filtering result. Moreover, it is shown that the existing results specialized for the Roesser model, when applied to the FM LSS model through a model transformation, are much more restrictive than the proposed results in the paper, further justifying this work.