Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems

We present a “calculator” for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their previous papers. This approach mainly uses linear algebraic and combinatorial tools, so, it is perfectly adapted to computer...

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Bibliographic Details
Published in:Mathematics of control, signals, and systems signals, and systems, 2022-12, Vol.34 (4), p.883-907
Main Authors: Sklyar, Grigory, Barkhayev, Pavel, Ignatovich, Svetlana, Rusakov, Viktor
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Applications programs
Approximation
Combinatorial analysis
Communications Engineering
Computers
Control
Control systems
Linear algebra
Mathematics
Mathematics and Statistics
Mechatronics
Networks
Nonlinear control
Nonlinear systems
Original Article
Robotics
Systems Theory
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Summary:We present a “calculator” for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their previous papers. This approach mainly uses linear algebraic and combinatorial tools, so, it is perfectly adapted to computer realization. We describe the algorithm and discuss its capabilities and limitations. We present its implementation as a web application and show by example how this app works.
ISSN:0932-4194
1435-568X
DOI:10.1007/s00498-022-00330-5