Difference between revisions of "Errata: Example 8.10 missing factor of v, a1 and a2 flipped"
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Line 13: | Line 13: | ||
A_\text{d} &= \left. \frac{\partial f}{\partial x} \right|_{(x_\text{d}, u_\text{d})} | A_\text{d} &= \left. \frac{\partial f}{\partial x} \right|_{(x_\text{d}, u_\text{d})} | ||
= \left. | = \left. | ||
− | \ | + | \begin{bmatrix} 0 & 0 & -v \sin\theta \\ 0 & 0 & v \cos\theta \\ 0 & 0 & 0 \end{bmatrix} |
\right|_{(x_\text{d}, u_\text{d})} | \right|_{(x_\text{d}, u_\text{d})} | ||
− | = \ | + | = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & v_\text{r} \\ 0 & 0 & 0 \end{bmatrix}, \\ |
B_\text{d} &= \left. \frac{\partial f}{\partial u} \right|_{(x_\text{d}, u_\text{d})} | B_\text{d} &= \left. \frac{\partial f}{\partial u} \right|_{(x_\text{d}, u_\text{d})} | ||
− | = \ | + | = \begin{bmatrix} 1 & 0 \\ 0 & 0 \\ 0 & v_\text{r}/l \end{bmatrix}. |
\end{aligned} | \end{aligned} | ||
</math></center> | </math></center> |
Revision as of 04:43, 7 October 2021
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: