Errata: Example 8.10 missing factor of v, a1 and a2 flipped
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Failed to parse (syntax error): {\displaystyle w_2 = -\frac{l}{v_\text{r}}(\frac{{\color{blue} a_2}{{\color{blue} v_\text{r}} e_y + {{\color{blue} a_1} e_\theta). }
Failed to parse (unknown function "\begin{bmatrix}"): {\displaystyle \begin{bmatrix} v \\ \phi \end{bmatrix} = - \begin{bmatrix} \lambda_1 & 0 & 0 \\ 0 & \dfrac{{\color{blue} a_2 l}{v_\text{r}^{\color{blue} 2} & \dfrac{{\color{blue} a_1 l}{v_\text{r}} \end{bmatrix} \begin{bmatrix} x - v_\text{r} t \\ y - y_\text{r} \\ \theta \end{bmatrix} + \begin{bmatrix} v_\text{r} \\ 0 \end{bmatrix}. }
Chapter | Output Feedback |
---|---|
Page | 8-28 |
Line | -4 |
Version | 3.1.5 |
Date | 6 Oct 2021 |
Example 8.10 (Steering control with velocity scheduling) is missing a factor of in the definition of that propagates through the example. In addition, the coefficients and are swapped in the definition of .
The equation for should read:
This leads to an error in the definition of later in the example. In addition, the coefficients and are swapped, so the definition of should be:
The final controller then becomes