# Control Bootcamp - My digital brain
Tags : https://www.youtube.com/playlist?list=PLMrJAkhIeNNR20Mz-VpzgfQs5zrYi085m Overview Linear Systems Stability and Eigenvalues Linearizing Around a Fixed Point Controllability Controllability, Reachability, and Eigenvalue Placement Controllability and the Discrete-Time Impulse Response Degrees of Controllability and Gramians Controllability and the PBH Test Cayley-Hamilton Theorem Reachability and Controllability with Cayley-Hamilton Inverted Pendulum on a Cart Eigenvalue Placement for the Inverted Pendulum on a Cart Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a [cut: 1507 characters, first 597 kept]
Author: — Thomas Dehaeze

Tags :

https://www.youtube.com/playlist?list=PLMrJAkhIeNNR20Mz-VpzgfQs5zrYi085m

## Overview

## Linear Systems

## Stability and Eigenvalues

## Linearizing Around a Fixed Point

## Controllability

## Controllability, Reachability, and Eigenvalue Placement

## Controllability and the Discrete-Time Impulse Response

## Degrees of Controllability and Gramians

## Controllability and the PBH Test

## Cayley-Hamilton Theorem

## Reachability and Controllability with Cayley-Hamilton

## Inverted Pendulum on a Cart

## Eigenvalue Placement for the Inverted Pendulum on a Cart

## Linear Quadratic Regulator (LQR) Control for the Inverted Pendulum on a Cart

## Motivation for Full-State Estimation

## Observability

## Full-State Estimation

## Kalman Filter

## Observability Example in Matlab

## Observability Example in Matlab (Part 2)

## Kalman Filter Example in Matlab

## Linear Quadratic Gaussian (LQG)

## LQG Example in Matlab

## Introduction to Robust Control

## Three Equivalent Representations of Linear Systems

## Example Frequency Response (Bode Plot) for Spring-Mass-Damper

## Laplace Transforms and the Transfer Function

## Benefits of Feedback on Cruise Control Example

## Benefits of Feedback on Cruise Control Example (Part 2)

## Cruise Control Example with Proportional-Integral (PI) control

## Sensitivity and Complementary Sensitivity

## Sensitivity and Complementary Sensitivity (Part 2)

## Loop shaping

## Loop Shaping Example for Cruise Control

## Sensitivity and Robustness

## Limitations on Robustness

## Cautionary Tale About Inverting the Plant Dynamics

## Control systems with non-minimum phase dynamics

<./biblio/references.bib>