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Hankel norm approximation of linear systems with time-varying delay: continuous and discrete cases.
- Source :
-
International Journal of Control . 11/20/2004, Vol. 77 Issue 17, p1503-1520. 18p. - Publication Year :
- 2004
-
Abstract
- This paper investigates the problem of Hankel norm model reduction for linear systems with time-varying delay in the state. For a given stable system, our attention is focused on the construction of reduced-order model, which guarantees the corresponding error system to be asymptotically stable and has a specified Hankel norm error performance. Two different approaches are proposed to solve this problem. One casts the model reduction into a convex optimization problem by using a linearization procedure, and the other is based on the cone complementarity linearization idea, which casts the model reduction into a sequential minimization problem subject to linear matrix inequality constraints. Both continuous and discrete time eases are considered. A numerical example is provided to show the effectiveness of the proposed theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207179
- Volume :
- 77
- Issue :
- 17
- Database :
- Academic Search Index
- Journal :
- International Journal of Control
- Publication Type :
- Academic Journal
- Accession number :
- 15791498
- Full Text :
- https://doi.org/10.1080/00207170412331323641