Exercices & Solutions - Githubissues

boisgera / control-engineering-with-python

Control Engineering with Python

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Exercices & Solutions #49

Open boisgera opened 2 years ago

boisgera commented 2 years ago

Create the solutions for:

ODES / Models & Stream Plots

[X] Pendulum, model
[X] Pendulum, streamplot
[X] Pendulum, overshoot (analytical)

ODES / Simulation

[x] Transfer IVP/Rotation from exo to example

ODES / Well-posedness / Local & Maximal Solutions

[x] Maximal Solutions

ODES / Well-posedness / Existence

[x] Sigmoid
[x] Pendulum
[x] Linear Systems

ODES / Well-posedness / Continuity

[x] Linear system
[x] Non-uniqueness
[x] Prey-Predator

Asymptotic Behavior

[ ] Pendulum
[X] Vinograd

Linear Systems / Models

[x] ~~Turn Heat Equation into exo~~
[x] Linearized Pendulum

Linear Systems / Solutions & Stability

[x] Exponential Matrix
[x] G.A.S <-> L.A.
[x] Stability 2nd-order system
[x] Stability of chain of integrators

Linear Systems / IO Behaviors / Impulse Response

[x] Integrator
[x] Double integrator
[x] Gain
[x] MIMO

Linear Systems / IO Behaviors / Laplace & Transfer Function

[x] Ramp
[x] Feedback

Controllability

[x] Pendulum
[x] Fully Actuated System
[x] Integrator Chain
[x] Heat Equation

Asymptotic Stabilization

[x] Pole Assignment, default
[x] Pendulum
[x] Double Spring System

Optimal Control

[x] Value of J

Observers

[x] Fully measured systems
[x] Integrator chain
[x] Heat equation