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| Titel: |
An efficient numerically robust homotopy algorithm for H2 model reduction using the optimal projecton equations |
| Auteur: |
Collins, Emmanuel G. Ying, Sidney S. Haddad, Wassim M. Richter, Stephen |
| Verschenen in: |
Mathematical and computer modelling of dynamical systems |
| Paginering: | Jaargang 2 (1996) nr. 2 pagina's 101-133 |
| Jaar: |
1996 |
| Inhoud: |
Homotopy approaches have previously been developed for synthesizing #2 optimal reduced-order models. Some of the previous homotopy algorithms were based on directly solving the optimal projection equations, a set of two Lyapunov equations mutually coupled by a nonlinear term involving a projection matrix r, that characterize the optimal reduced-order model. These algorithms are numerically robust but suffer from the curse of large dimensionality. Subsequently, gradient-based homotopy algorithms were developed. To make these algorithms efficient and to eliminate singularities along the homotopy path, the basis of the reduced-order model was constrained to a minimal parameterization. However, the resultant homotopy algorithms sometimes experienced numerical ill-conditioning or failure due to the minimal parameterization constraint. This paper presents a new homotopy approach to solve the optimal projection equations for #2 model reduction. The current algorithm avoids the large dimensionality of the previous approaches by efficiently solving a pair of Lyapunov equations coupled by low rank linear operators |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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