RESEARCH PAPER
Controllability and Observability of the Descriptor Linear Systems Reduced to the Standard Ones by Feedbacks
1
Faculty of Electrical Enginering, Białystok University of Technology ul. , Wiejska 45D, Białystok, Poland
2
Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, ul. Bałtycka 5, Gliwice, Poland
3
Faculty of Electrical Engineering, Warsaw University of Technology, ul. Koszykowa 75, Warszawa, Poland
Submission date: 2023-03-23
Acceptance date: 2023-08-20
Online publication date: 2024-02-29
Publication date: 2024-03-01
Acta Mechanica et Automatica 2024;18(1):119-122
KEYWORDS
controllability and observabilitydescriptor linear systemsstate feedbackstate derivative feedbackstandard linear systems
ABSTRACT
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.
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| eISSN: | 2300-5319 |
| ISSN: | 1898-4088 |
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