On the Kalman---Yakubovich---Popov lemma and the multidimensional models
Multidimensional Systems and Signal Processing
Delay-dependent H∞ control for 2-D discrete state delay systems in the second FM model
Multidimensional Systems and Signal Processing
Simple state-space formulations of 2-D frequency transformation and double bilinear transformation
Multidimensional Systems and Signal Processing
Reduced-order H2 filtering for discrete linear repetitive processes
Signal Processing
New approach to stability of 2-D discrete systems with state saturation
Signal Processing
Brief paper: Robust finite frequency H∞ filtering for uncertain 2-D Roesser systems
Automatica (Journal of IFAC)
| Hi-index | 35.69 |
This paper considers the problem of robust H∞ filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function, from the noise signal to the estimation error, is below a prespecified level. A sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H∞ filter is given. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method.