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Overview
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Learn essential control-system analysis techniques in Julia through a 21-minute video covering advanced topics in control theory and design. Master the implementation of analysis tools including controllability matrices, observability matrices, and grampians using ControlSystems.jl. Explore Hankel singular values, margin calculations, and minimal realizations while gaining hands-on experience with balanced truncation and system simplifications. Dive into practical applications with relative gain arrays, dampreport functionality, and solutions for algebraic Riccati and Lyapunov equations. Progress through comprehensive segments covering poles and zeros, balanced realizations, LQR control, gain and phase margins, gang of four analysis, and diskmargin calculations. Benefit from detailed explanations of advanced control concepts while leveraging Julia's powerful ecosystem including RobustAndOptimalControl.jl, ControlSystemIdentification.jl, and JuliaSim for enterprise-level modeling and simulation solutions.
Syllabus
Poles and zeros
Controllability matrix and Gramians
Balanced realizations
Relative gain array
Riccati equations and LQR
Gain and phase margins
Gang of four
Diskmargin
Advanced topics and outro
Taught by
JuliaHub