# Difference between revisions of "FAQ: In equation (6.23), shouldn't the B matrix have omega 0^2?"

From FBSwiki

(Created page with "{{subst:FAQ template}}") |
|||

Line 1: | Line 1: | ||

{{FAQ page | {{FAQ page | ||

− | | chapter = | + | | chapter = State Feedback |

| contributor = Richard Murray | | contributor = Richard Murray | ||

− | | date = | + | | date = 28 Aug 2016 |

| answer = | | answer = | ||

− | + | In equation (6.22), the input term has a factor <math>k \omega_0^2 u</math>. Shouldn't the <math>B</math> matrix in equation (6.23) be <math>k \omega_0^2</math> to match this? | |

+ | |||

+ | A: Actually, the term as listed is correct. The model uses the state space representation | ||

+ | <center><math> | ||

+ | x = \begin{bmatrix} x_1 \\ x_2 \end{matrix} = \begin{bmatrix} q \\ \dot q/omega_0 \end{matrix}. | ||

+ | </math></center> | ||

+ | It follows by working through the equations that the given equations are correct. | ||

}} | }} |

## Revision as of 13:03, 28 August 2016

(Contributed by Richard Murray, 28 Aug 2016)

In equation (6.22), the input term has a factor . Shouldn't the matrix in equation (6.23) be to match this?

A: Actually, the term as listed is correct. The model uses the state space representation

**Failed to parse (unknown error):**

It follows by working through the equations that the given equations are correct.