H/sub infinity / model reduction for discrete-time singular systems
(2003) Systems & Control Letters — Vol. 48, n° 2, p. 121-133 (2003)
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- Abstract
- 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.
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Citations
Xu, S., & Lam, J. (2003). H/sub infinity / model reduction for discrete-time singular systems. Systems & Control Letters, 48(2), 121-133. https://doi.org/10.1016/S0167-6911(02)00279-7 (Original work published 2003)