Two options:
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Execute the project notebooks locally: instructions
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Introduction to Dynamical Systems (HTML, PDF, notebook).
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ODEs: definitions, numerical schemes, vizualisation (30 min).
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Well-posedness of IVPs (30 min).
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Asymptotic behavior (30 min)
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Linear-Time Invariant Systems (HTML, PDF, notebook)
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Linearization, state-space model (30 min)
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Solutions of LTI systems, asymptotic stability (30 min)
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I/O Behavior, Laplace domain, I/O stability (30 min)
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Controllers (HTML, PDF, notebook)
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Controllability (1h)
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Controller design: pole assignement & optimal control (1h)
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Observers (HTML, PDF, notebook)
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Observability (1h)
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Observer design: pole assignment & optimal filtering (1h)
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Application to mobile robotics (3h)
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Lagrangian mechanics
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Kinematic models of mobile robots
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Control of mobile robots
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- Problem statement (notebook): view in github or download.
Example notebook: double pendulum
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