Xu, Shengyuan
[UCL]
Lam, James
[University of Hong Kong]
This paper investigates the problem of H/sub infinity / model reduction for linear discrete-time singular systems. Without decomposing the original system matrices, necessary and sufficient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-convex rank constraint set. When these conditions are feasible, an explicit parametrization of the desired reduced-order models is given. Particularly, a simple LMI condition without rank constraint is derived for the zeroth-order H/sub infinity / approximation problem. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.
Bibliographic reference |
Xu, Shengyuan ; Lam, James. H/sub infinity / model reduction for discrete-time singular systems. In: Systems & Control Letters, Vol. 48, no. 2, p. 121-133 (2003) |
Permanent URL |
http://hdl.handle.net/2078.1/66221 |