The PhasorArray Toolbox for Harmonic Analysis and Control Design
Maxime Grosso (CRAN), Pierre Riedinger (CRAN), Jamal Daafouz (CRAN)
TL;DR
The PhasorArray Toolbox is a MATLAB package designed to simplify harmonic analysis and control design through an object-oriented approach, advanced solvers, and integration with optimization tools.
Contribution
It introduces a user-friendly, object-oriented MATLAB toolbox with advanced harmonic analysis and control design features, including LMI-based methods and solver integration.
Findings
Enables intuitive manipulation of harmonic matrices
Provides advanced solvers for Sylvester, Lyapunov, Riccati equations
Seamlessly integrates with YALMIP for control applications
Abstract
We present a MATLAB package called the Pha-sorArray Toolbox that has been developed to make harmonic analysis and control methods both practical and user-friendly. The toolbox adopts an object-oriented architecture that enables intuitive manipulation of periodic matrices through overloaded operators for addition, multiplication, convolution, and automatic Toeplitz construction. Its advanced features include harmonic Sylvester, Lyapunov and Riccati equations solvers, and seamless integration with YALMIP, thereby facilitating advanced control and analysis techniques based on Linear Matrix Inequalities (LMIs) in the harmonic framework.
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Taxonomy
TopicsMatrix Theory and Algorithms · Model Reduction and Neural Networks · Numerical methods for differential equations