Robust and optimal control
Matrix computations (3rd ed.)
Linear fractional representations of uncertain systems
Automatica (Journal of IFAC)
Two-Dimensional Digital Filters
Two-Dimensional Digital Filters
Multidimensional Systems and Signal Processing
A direct-construction approach to multidimensional realization and LFR uncertainty modeling
Multidimensional Systems and Signal Processing
Robust H∞ filtering for Uncertain2-D continuous systems
IEEE Transactions on Signal Processing
Hi-index | 0.00 |
In this paper, an explicit relationship between the two-dimensional (2-D) frequency transformation and the theory of linear fractional transformation (LFT) representation is shown. Based on this relationship, a simple alternative state-space formulation of 2-D frequency transformation for 2-D digital filters is derived by utilizing the well-known Redheffer star product of LFT representations. The proposed formulation is then utilized to establish a simple relationship between the state-space representations of a 2-D continuous system and a 2-D discrete system which are related by the double bilinear transformation. Moreover, the inherent relations among the proposed formulations and the existing results are discussed. It turns out that all the existing results given in the literature can be unified as special or equivalent cases by the new state-space formulation of 2-D frequency transformation in a very concise and elegant form. Numerical examples are given to illustrate the effectiveness of the proposed formulations.