Simultaneous Transformation of Systems to a Form with Relative Degree

Abstract

We consider the problem of transforming two linear control systems to a form with relative degree by one and the same linear time-invariant change of outputs. A constructive algorithm is proposed that permits one to verify if this problem has a solution, and if it does, find the desired change. Moreover, it is shown that transforming three control systems by one and the same linear time-invariant change of outputs to a form with relative degree is not always possible.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-07-00540 and facilitated by the Moscow Center for Fundamental and Applied Mathematics.

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Correspondence to A. V. Kraev or A. I. Rogovskiy.

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Translated by V. Potapchouck

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Kraev, A.V., Rogovskiy, A.I. Simultaneous Transformation of Systems to a Form with Relative Degree. Diff Equat 56, 1644–1649 (2020). https://doi.org/10.1134/S00122661200120137

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