Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback
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@Article{JICS-12-220,
author = {Sakineh Bigom Mirassadi and Hojjat Ahsani Tehrani},
title = {Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {12},
number = {3},
pages = {220--233},
abstract = { A method for solving the descriptor continuous-time linear system is focused. For easily, it is
converted to two standard continuous-time linear systems by the definition of a derivative and propositional
state feedback. Then partial eigenvalue assignment is used for obtaining the derivative and propositional state
feedbacks and solving the standard systems. In partial eigenvalue assignment, just a part of the open loop
spectrums of two standard linear systems are reassigned, while leaving the rest of the spectrum invariant and
for reassigning, similarity transformation is used. Using partial eigenvalue assignment is easier than using
eigenvalue assignment. Because by partial eigenvalue assignment, size of matrices and state and input
vectors are decreased and stability is kept, too. It is worthy to mention that eigenvalues of closed-loop matrix
of original system, i.e., descriptor and second converted system are inverse of each other. Also concluding
remarks and an algorithm are proposed to the descriptions be obvious. At the end, convergence of state and
input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22481.html}
}
TY - JOUR
T1 - Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback
AU - Sakineh Bigom Mirassadi and Hojjat Ahsani Tehrani
JO - Journal of Information and Computing Science
VL - 3
SP - 220
EP - 233
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22481.html
KW - descriptor system, derivative and propositional state feedback, partial eigenvalue assignment,
converge to balance point.
AB - A method for solving the descriptor continuous-time linear system is focused. For easily, it is
converted to two standard continuous-time linear systems by the definition of a derivative and propositional
state feedback. Then partial eigenvalue assignment is used for obtaining the derivative and propositional state
feedbacks and solving the standard systems. In partial eigenvalue assignment, just a part of the open loop
spectrums of two standard linear systems are reassigned, while leaving the rest of the spectrum invariant and
for reassigning, similarity transformation is used. Using partial eigenvalue assignment is easier than using
eigenvalue assignment. Because by partial eigenvalue assignment, size of matrices and state and input
vectors are decreased and stability is kept, too. It is worthy to mention that eigenvalues of closed-loop matrix
of original system, i.e., descriptor and second converted system are inverse of each other. Also concluding
remarks and an algorithm are proposed to the descriptions be obvious. At the end, convergence of state and
input vectors in the descriptor system to balance point (zero) are showed by figures in a numerical example.
Sakineh Bigom Mirassadi and Hojjat Ahsani Tehrani. (2024). Partial eigenvalue assignment in descriptor systems via derivative and propositional state feedback.
Journal of Information and Computing Science. 12 (3).
220-233.
doi:
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