A Recursive Algorithm for the Reduction of Block Diagrams
A recursive algorithm to compute input-output relationships in a network of rational transfer functions (a block diagram) is derived. Initially all transfer functions are disconnected. For each step in the algorithm, a new transfer function in the network is connected to the system. One application...
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| Format: | Article |
| Language: | English |
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Norwegian Society of Automatic Control
1991-01-01
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| Series: | Modeling, Identification and Control |
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| Online Access: | http://www.mic-journal.no/PDF/1991/MIC-1991-1-4.pdf |
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doaj-f57becdc45c84254be6082a0d2e0cdbb2020-11-25T00:25:11ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13281991-01-01121475610.4173/mic.1991.1.4A Recursive Algorithm for the Reduction of Block DiagramsTrond AndresenA recursive algorithm to compute input-output relationships in a network of rational transfer functions (a block diagram) is derived. Initially all transfer functions are disconnected. For each step in the algorithm, a new transfer function in the network is connected to the system. One application of the algorithm is to find the transfer matrix of a linear multivariable system given on state space form. The algorithm is advantageous when one needs repeated computations of a transfer matrix in a multivariable system for successive changes in one or a few parameters in the system. The transfer matrix for a multivariable linear system with one time delay, and the exact frequency response in the case of several time delays, are derived. http://www.mic-journal.no/PDF/1991/MIC-1991-1-4.pdfBlock diagram reductionrecursive algorithmtransfer matrix |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Trond Andresen |
| spellingShingle |
Trond Andresen A Recursive Algorithm for the Reduction of Block Diagrams Modeling, Identification and Control Block diagram reduction recursive algorithm transfer matrix |
| author_facet |
Trond Andresen |
| author_sort |
Trond Andresen |
| title |
A Recursive Algorithm for the Reduction of Block Diagrams |
| title_short |
A Recursive Algorithm for the Reduction of Block Diagrams |
| title_full |
A Recursive Algorithm for the Reduction of Block Diagrams |
| title_fullStr |
A Recursive Algorithm for the Reduction of Block Diagrams |
| title_full_unstemmed |
A Recursive Algorithm for the Reduction of Block Diagrams |
| title_sort |
recursive algorithm for the reduction of block diagrams |
| publisher |
Norwegian Society of Automatic Control |
| series |
Modeling, Identification and Control |
| issn |
0332-7353 1890-1328 |
| publishDate |
1991-01-01 |
| description |
A recursive algorithm to compute input-output relationships in a network of rational transfer functions (a block diagram) is derived. Initially all transfer functions are disconnected. For each step in the algorithm, a new transfer function in the network is connected to the system. One application of the algorithm is to find the transfer matrix of a linear multivariable system given on state space form. The algorithm is advantageous when one needs repeated computations of a transfer matrix in a multivariable system for successive changes in one or a few parameters in the system. The transfer matrix for a multivariable linear system with one time delay, and the exact frequency response in the case of several time delays, are derived. |
| topic |
Block diagram reduction recursive algorithm transfer matrix |
| url |
http://www.mic-journal.no/PDF/1991/MIC-1991-1-4.pdf |
| work_keys_str_mv |
AT trondandresen arecursivealgorithmforthereductionofblockdiagrams AT trondandresen recursivealgorithmforthereductionofblockdiagrams |
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1725349684410580992 |