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Journal of Applied Sciences

Year: 2008 | Volume: 8 | Issue: 4 | Page No.: 608-614
DOI: 10.3923/jas.2008.608.614
A New Approach to Compute the Cross-Gramian Matrix and its Application in Input-Output Pairing of Linear Multivariable Plants
B. Moaveni and A. Khaki-Sedigh

Abstract: In this study, a new approach to solve the Sylvester equation, AX+XA = -BC is derived. The calculated cross-Gramian matrix, which results from the Sylvester equation, proposes a new input-output pairing analysis for stable multivariable plants. This new approach is based on the cross-Gramian matrix of SISO elementary subsystems built from the original MIMO plant and the main advantage of the method is its simplicity to choose the best input-output pair, though, it considers the plant dynamic properties.

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How to cite this article
B. Moaveni and A. Khaki-Sedigh, 2008. A New Approach to Compute the Cross-Gramian Matrix and its Application in Input-Output Pairing of Linear Multivariable Plants. Journal of Applied Sciences, 8: 608-614.

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