Introduction to Control Analysis and Design in Julia: 4. Control-system Analysis

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This video series is a high-level introduction to control analysis and design in the Julia programming language. This course assumes that you are familiar with basic control theory and have some prior experience with, or are currently learning, software for control design.

JuliaSimControl provides features such as Model-Predictive Control, robust control, graphical user interfaces, auto tuning and more.

In this video we cover:
• Analysis tools such as the controllability and observability matrices and grampians
• Hankel singular values
• Margin and marginplot
• Minimal realizations, balanced truncation and other simplifications
• Relative gain array
• Dampreport
• Solving algebraic Riccati equations and Lyapunov equations.
• Analysis tools such as Hinfnorm, peak gains of sensitivity functions, diskmargin

00:00 Poles and zeros
01:18 Controllability matrix and Gramians
03:38 Balanced realizations
07:10 Relative gain array
07:49 Riccati equations and LQR
09:16 Gain and phase margins
10:51 Gang of four
17:02 Diskmargin
18:38 Advanced topics and outro

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