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| Titel: |
Hankel norm approximation of linear systems with time-varying delay: continuous and discrete cases |
| Auteur: |
Gao, Huijun Lam, James Wang, Changhong Wang, Qing |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 77 (2004) nr. 17 pagina's 1503-1520 |
| Jaar: |
2004-11-20 |
| Inhoud: |
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 cases are considered. A numerical example is provided to show the effectiveness of the proposed theory. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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