Modification of Infinite and Unstable Invariant Zeros in Linear Systems Using Stability-Preserving State Feedback
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F24%3A00377633" target="_blank" >RIV/68407700:21730/24:00377633 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1109/TAC.2024.3394129" target="_blank" >https://doi.org/10.1109/TAC.2024.3394129</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TAC.2024.3394129" target="_blank" >10.1109/TAC.2024.3394129</a>
Alternative languages
Result language
angličtina
Original language name
Modification of Infinite and Unstable Invariant Zeros in Linear Systems Using Stability-Preserving State Feedback
Original language description
The algebra of integral matrices is applied to solve the following problem of control theory: modification of a specified list of zeros of a linear system with more inputs than outputs using nonregular state feedback while ensuring stability or, equivalently, the modification of a specified list of zeros of a stable system while maintaining stability. The zeros in question are unstable invariant zeros and the zero at infinity. These zeros are the Smith invariant of the transfer matrix of the given stable system, which is a proper and stable rational matrix. Since the action of any stability-preserving state feedback can be represented by the multiplication of the system transfer matrix on the right by a proper and stable rational matrix, called a cascade compensator, the study of the control problem amounts to the study of Smith invariants of a product of two integral matrices. However, only cascade compensators that can be implemented using state feedback are of interest. This is why the solvability conditions depend on the system's column-minimal indices. It turns out that existing infinite and unstable invariant zeros cannot be displaced; only their multiplicity can be increased, and new zeros can be created. Typical applications include stable model matching and stable decoupling by state feedback.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/EH22_008%2F0004590" target="_blank" >EH22_008/0004590: Robotics and advanced industrial production</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Automatic Control
ISSN
0018-9286
e-ISSN
1558-2523
Volume of the periodical
69
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
8
Pages from-to
7166-7173
UT code for WoS article
001322635200030
EID of the result in the Scopus database
2-s2.0-85192138972