Transfer matrix method for deriving transfer functions of LTI systems

S. L. Jeng; B. H. Lue; W. H. Chieng

doi:10.1117/12.2203247

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3 December 2015 Transfer matrix method for deriving transfer functions of LTI systems

S. L. Jeng, B. H. Lue, W. H. Chieng

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Proceedings Volume 9794, Sixth International Conference on Electronics and Information Engineering; 979439 (2015) https://doi.org/10.1117/12.2203247
Event: Sixth International Conference on Electronics and Information Engineering, 2015, Dalian, China

Abstract

This paper presents a new method, called the transfer matrix method for obtaining transfer functions among the state variables of a linear time- invariant (LTI) system defined in either a block diagram or the corresponding signal flow graph. The procedures introduced in this paper for obtaining the transfer function require only knowledge on matrix operations, which are easy to explain and remember. Advanced control engineers can automate the symbolic matrix operation by using existing software such as Mathematica.

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S. L. Jeng, B. H. Lue, and W. H. Chieng "Transfer matrix method for deriving transfer functions of LTI systems", Proc. SPIE 9794, Sixth International Conference on Electronics and Information Engineering, 979439 (3 December 2015); https://doi.org/10.1117/12.2203247

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