Optimal parallel model solutions using the polynomial approach

Solutions to the optimal filtering and open-loop control problems using a generalized parallel model scheme are presented. The solutions are based on the algebra of polynomial matrices. Different cases are treated such as H 2 -optimal design in continuous and discrete time domain and the optimal sam...

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Bibliographic Details
Published in:International journal of control 1996-11, Vol.65 (4), p.681-697
Main Authors: MILOCCO, RUBÉN H., DE DONÁ, JOSÉ A.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Optimal control
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Summary:Solutions to the optimal filtering and open-loop control problems using a generalized parallel model scheme are presented. The solutions are based on the algebra of polynomial matrices. Different cases are treated such as H 2 -optimal design in continuous and discrete time domain and the optimal sampled data design. The procedure is simple and involves the solution of linear matrix polynomial equations whose coefficients are obtained by spectral factorizations. The sampled data design is based on iterations which approximate the optimal solution as closely as desired.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179608921716