On Homogeneous Descriptor Systems and Homogeneity-Based Finite-Time Control of Linear Descriptor Systems

A new definition of homogeneity for descriptor systems is introduced. The homogeneity property can be verified algebraically, and, as for systems described by ordinary differential equations only, it implies scalability of solutions. A finite-time stabilizing feedback controller is designed for line...

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Bibliographic Details
Published inIEEE access Vol. 10; p. 1
Main Authors Konovalov, Dmitry E., Shopa, Nikita M., Zimenko, Konstantin A., Kremlev, Artem S., Belov, Alexey A.
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control systems design
Convergence
descriptor systems
Differential equations
Feedback control
finite-time stabilization
Generators
Homogeneity
Linear matrix inequalities
Ordinary differential equations
Scalability
Trajectory
Tuning
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Summary:A new definition of homogeneity for descriptor systems is introduced. The homogeneity property can be verified algebraically, and, as for systems described by ordinary differential equations only, it implies scalability of solutions. A finite-time stabilizing feedback controller is designed for linear descriptor systems. The proposed control contains a homogenizing linear feedback term and a nonlinear homogeneous stabilizing term. The parameters tuning is presented in the form of linear matrix equations and inequalities. Performance of the approach is illustrated by numerical examples.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2022.3206956