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A new method for the pole estimation of linear time-invariant systems using singular value decomposition

✍ Scribed by Xiaobo Liu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
425 KB
Volume
310
Category
Article
ISSN
0022-460X

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✦ Synopsis

A new method is presented for the pole estimation of linear time invariant (LTI) systems. For a single input case, this method gives estimation of each pole of the system. For a multiple input case, it estimates the repeated system poles with multiplicity equal to the number of inputs. The new method employs the singular value decomposition technique (SVD), and is shown to be numerically robust against measurement noises.

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calculating the zeros of the transfer function which exists between an input and output of an arbitrary multivariable linear time invariant systemβ€’ The method is simple to use; is computationally fast and is accurate. Some numerical examples for a 9th order system are included.