# CDS 101/110 - State Feedback

CDS 101/110a | Schedule | Recitations | FAQ | AM08 (errata) |

## Contents |

## Overview

**Monday:** Reachability and State Feedback (Slides, MP3)

This lecture introduces the concept of reachability and explores the use of state space feedback for control of linear systems. Reachability is defined as the ability to move the system from one condition to another over finite time. The reachability matrix test is given to check if a linear system is reachable, and the test is applied to several examples. The concept of (linear) state space feedback is introduced and the ability to place eigenvalues of the closed loop system arbitrarily is related to reachability. A cart and pendulum system and the predator prey problem are used as examples.

- Lecture handout
- MATLAB code: L5_1_reachability.m, predprey.m, predprey_rh.m

**Wednesday:** State Feedback Design (MP3)

This lecture will present more advanced analysis on control using state feedback.

## Reading

- K. J. Åström and R. M. Murray,, Preprint, 2007..

## FAQ

**Monday**

**Wednesday**

**Homework**