Controllability and Observability of the Descriptor Linear Systems Reduced to the Standard Ones by Feedbacks
Tadeusz Kaczorek
Faculty of Electrical Enginering, Białystok University of Technology ulPoland
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, Jerzy Klamka
Institute of Theoretical and Applied Informatics, Polish Academy of SciencesGliwice, Poland
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and Andrzej Dzieliński
Faculty of Electrical Engineering, Warsaw University of TechnologyWarszawa, Poland
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Feb 29, 2024
About this article
Published Online: Feb 29, 2024
Page range: 119 - 122
Received: Mar 23, 2023
Accepted: Aug 20, 2023
DOI: https://doi.org/10.2478/ama-2024-0015
Keywords
© 2024 Tadeusz Kaczorek et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In this paper, a new method for the reduction of the descriptor linear systems to standards ones is presented and verified. The method uses a state and/or state derivative feedback of output and output derivative feedback in order to transform the descriptor system into a standard one. The controllability and observability properties of the original descriptor as well as transformed standard systems are proved. Simple numerical examples illustrate the theorems introduced.