Difference between revisions of "Modern Robotics Errata"

From Mech
Jump to navigationJump to search
(69 intermediate revisions by the same user not shown)
Line 1: Line 1:
[https://docs.google.com/forms/d/1iZ_3LsWR1iuPJmRsUQsa2ehZj6p-qKQfx8NRKaTlIuE/edit '''Please click here to report any corrections for the book. (Please make sure you are using the May 3, 2017, online version of the book, or the hardcover book published by Cambridge University Press.)''']
Errata below are for the preprint version posted on November 29, 2016.


Errata below are for the hardcover book published by Cambridge University Press and the preprint version of the book posted on May 3, 2017. Thanks to everyone who provided corrections to earlier versions!
===Chapter 1===


* p4: "screw theor." should be "screw theory." (near bottom of page)


== Significant corrections ==
===Chapter 3===


=== Chapter 3 ===
* p93: The definition of the Trans(p) matrix should have the identity matrix as the top left 3x3 submatrix (shown in the book as the zero matrix).
* p101: The sentence "More generally, for any two frames {c} and {c}..." should be "More generally, for any two frames {c} and {d}..."


* In the caption of Figure 3.3, it should read <math>\hat{\text{x}}_{\text{b}} = (1/2, \sqrt{3}/2)</math> and <math>\hat{\text{y}}_{\text{b}} = (-\sqrt{3}/2, 1/2)</math>.
===Chapter 11===
* There is a typo in the final matrix, <math>T_{ce}</math>. The term <math>130/\sqrt{2}</math> should be <math>160/\sqrt{2}</math>. (Also, there is no need to use <math>T_{ad}</math> in this example.)
* In the displayed equation just after Equation (3.76), the left-hand side should be <math>[\mathcal{V}_s]</math> (the brackets are missing).


=== Chapter 4 ===
* p419, the line just before equation (11.16): the expression should read <math>[\mathcal{V}_b] = X^{-1} \dot{X}</math> (the square brackets around <math>\mathcal{V}_b</math> are missing).


* Example 4.1, last row of the table (screw axis for joint 3): The linear component <math>v_i</math> should be <math>(0, -L_2, 0)</math> (the <math>-</math> sign is missing).
===Chapter 12===


=== Chapter 5 ===
* p466, 467, 468: Typos in the first equation of the list of three near the bottom of page 466 are propagated to pages 467 and 468. The first equation should be <math>v_{Ax} - \omega_{Az} p_{Ay} + \omega_{Ay} p_{Az} = v_{Bx} - \omega_{Bz} p_{By} + \omega_{By} p_{Bz}</math>. This affects the figure at bottom left of Figure 12.3 on p467. Equation (12.10) should be <math>v_{Ax} - 2 \omega_{Az} = v_{Bx} - 2 \omega_{Bz}</math>. The first rolling constraint on p468 should then be <math>v_{Ax} - 2 \omega_{Az} = 0 </math>.


* Equation (5.7): The the first two terms on the right-hand side of the equation should be <math>J_{s1} \dot{\theta}_1 + J_{s2}(\theta) \dot{\theta}_2</math>.
===Chapter 8===


* Exercise 5.16 and Figure 5.26: The robot is referred to as PRRRRR, but it is PRPRRR.
* In the first line of the first (unnumbered) equation of Chapter 8.2.3, the expression <math>\frac{1}{2} \mathcal{V}_a^T \mathcal{G}_a \mathcal{G}_a</math> should be replaced by <math>\frac{1}{2} \mathcal{V}_a^T \mathcal{G}_a \mathcal{V}_a</math>.


===Chapter 13===
=== Chapter 6 ===


* p518, equations (13.7) and (13.8): the rows in the matrices should be numbered to <math>m</math>, not <math>n</math>.
* Chapter 6.3, first line after Eq (6.7): the matrices <math>T_{sd}^{-1} \dot{T}_{sd}</math> and <math>\dot{T}_{sd} T_{sd}^{-1}</math> are referred to as twists, but these are the se(3) matrix representations of the twists.


=== Chapter 8 ===
* p550, line just after equation (13.37): the expression should read <math>[\mathcal{V}_d(t)] = X_d^{-1}(t) \dot{X}_d(t)</math> (the square brackets around <math>\mathcal{V}_d(t)</math> are missing).


* Figure 8.5 says the volume of the rectangular parallelepiped is <math>abc</math> but it should be <math>hlw</math>.
===Appendix B===


* p577: First line of sec B.1.1, the angle ranges should be <math>\alpha, \gamma \in (-\pi,\pi]</math>. Case (b) should be "If <math>r_{31} = -1</math>". Case (c) should be "If <math>r_{31} = 1</math>".
* End of first sentence after Eq (8.26) in Section 8.2.1 should read "columns of <math>R_{bc}</math> correspond to the eigenvectors of <math>\mathcal{I}_b</math>." (The word "eigenvalues" should be replaced by "eigenvectors.")


* Caption of Figure 8.10: The operating region is light gray and the continuous operating region is dark gray.
<!--

Other, minor things:
* Exercise 8.6(a): The expression <math>\text{ad}_{J_i}(J_j)</math> has the indices switched; the correct expression is <math>\text{ad}_{J_j}(J_i)</math>.

* Exercise 8.7: The expression should be written:
<math>
\dot{M} = -\mathcal{A}^{\rm T} \mathcal{L}^{\rm T} \mathcal{W}^{\rm T} [\mbox{ad}_{\mathcal{A} \dot{\theta}}]^{\rm T} \mathcal{L}^{\rm T} \mathcal{GLA} -
\mathcal{A}^{\rm T} \mathcal{L}^{\rm T} \mathcal{GL} [\mbox{ad}_{\mathcal{A} \dot{\theta}}] \mathcal{WLA}
</math>

=== Chapter 10 ===

* Equation (10.4) should read <math> u = F(q) - B \dot{q}</math> (the plus sign in the book should be a minus sign).

=== Chapter 11 ===

* In the displayed equation after Equation (11.18), the vector <math>X_e(t)</math> is a six-vector. The bottom three elements are written correctly, but the top three elements, an angular velocity, are written instead in their 3x3 <math>so(3)</math> form.

* In Equation (11.33), the right-hand side should be zero (<math>c = 0</math>).

* Figure 11.24, the Robonaut 2 series elastic actuator, 4th sentence of the caption: The words "outer" and "inner" should be switched, so the new sentence reads "The inner ring of hole mounts connects to the harmonic gearhead output, and the outer ring of hole mounts is the output of the SEA, connecting to the next link."

=== Appendix C ===

* Section C.3, Equation (C.5): All instances of <math>\phi_{i-1}</math> should be replaced by <math>\phi_i</math>.

== Minor typos, etc., no danger of misunderstanding ==

=== Chapter 1 ===

* (online version only) Description of Chapter 6: "jont positions" should be "joint positions."

=== Chapter 2 ===

* Chapter 2.2.2, Example 2.3: "Substituting" is misspelled.

=== Chapter 6 ===

* (online version only) Figure 6.7: <math>\theta_0</math> should be <math>\theta^0</math> (five times) and <math>\theta_1</math> should be <math>\theta^1</math> (one time).

=== Chapter 7 ===

* Just below caption for Figure 7.8: There is an extraneous dot.

=== Chapter 8 ===

* (online version only) Chapter 8.1.1, last paragraph: <math>\dot{\theta}_1</math> is improperly typeset.

=== Chapter 12 ===

* Caption of Figure 12.14, second-to-last sentence: "rotation if possible" should be "rotation is possible."

== A partial list of errata contributors ==

Thanks to the following people who provided corrections, starting from the preliminary version of the book posted in October, 2016:

H. Andy Nam, Eric Lee, Yuchen Rao, Chainatee Tanakulrongson, Mengjiao Hong, Kevin Cheng, Jens Lundell, Elton Cheng, Michael Young, Jarvis Schultz, Logan Springgate, Sofya Akhmametyeva, Aykut Onol, Josh Holcomb, Yue Chen, Mark Shi, AJ Ibraheem, Yalun Wen, Seongjae Jeong, Josh Mehling, Felix Wang, Drew Warren, Chris Miller, Clemens Eppner, Zack Woodruff, Jian Shi, Jixiang Zhang, Shachar Liberman, Will Wu

<!--
Other minor things, not worth mentioning:

Eq (5.4): transpose should be roman, not italic

After Eq (5.26), in text, transpose should be roman

near end of chap 7.2.1: the inverse transpose should be roman

Chapters 5.1.6 and 6.3 use term "(inverse) velocity kinematics" while 7.2 uses the term "differential kinematics"

Eq (8.21) and equation before: inverse transposes are italic, not roman.

Eq (8.81): no reason to make tau a function of time, since it is not done for the others.

Chapter 8.6: several instances of inverse transpose being italic, not roman.

A few paragraphs after eq (13.31), it says the absolute value of v_d should not be zero. Should just say that v_d should not be zero.
-->
-->

Revision as of 21:28, 17 August 2018

Please click here to report any corrections for the book. (Please make sure you are using the May 3, 2017, online version of the book, or the hardcover book published by Cambridge University Press.)

Errata below are for the hardcover book published by Cambridge University Press and the preprint version of the book posted on May 3, 2017. Thanks to everyone who provided corrections to earlier versions!


Significant corrections

Chapter 3

  • In the caption of Figure 3.3, it should read and .
  • There is a typo in the final matrix, . The term should be . (Also, there is no need to use in this example.)
  • In the displayed equation just after Equation (3.76), the left-hand side should be (the brackets are missing).

Chapter 4

  • Example 4.1, last row of the table (screw axis for joint 3): The linear component should be (the sign is missing).

Chapter 5

  • Equation (5.7): The the first two terms on the right-hand side of the equation should be .
  • Exercise 5.16 and Figure 5.26: The robot is referred to as PRRRRR, but it is PRPRRR.

Chapter 6

  • Chapter 6.3, first line after Eq (6.7): the matrices and are referred to as twists, but these are the se(3) matrix representations of the twists.

Chapter 8

  • Figure 8.5 says the volume of the rectangular parallelepiped is but it should be .
  • End of first sentence after Eq (8.26) in Section 8.2.1 should read "columns of correspond to the eigenvectors of ." (The word "eigenvalues" should be replaced by "eigenvectors.")
  • Caption of Figure 8.10: The operating region is light gray and the continuous operating region is dark gray.
  • Exercise 8.6(a): The expression has the indices switched; the correct expression is .
  • Exercise 8.7: The expression should be written:

Chapter 10

  • Equation (10.4) should read (the plus sign in the book should be a minus sign).

Chapter 11

  • In the displayed equation after Equation (11.18), the vector is a six-vector. The bottom three elements are written correctly, but the top three elements, an angular velocity, are written instead in their 3x3 form.
  • In Equation (11.33), the right-hand side should be zero ().
  • Figure 11.24, the Robonaut 2 series elastic actuator, 4th sentence of the caption: The words "outer" and "inner" should be switched, so the new sentence reads "The inner ring of hole mounts connects to the harmonic gearhead output, and the outer ring of hole mounts is the output of the SEA, connecting to the next link."

Appendix C

  • Section C.3, Equation (C.5): All instances of should be replaced by .

Minor typos, etc., no danger of misunderstanding

Chapter 1

  • (online version only) Description of Chapter 6: "jont positions" should be "joint positions."

Chapter 2

  • Chapter 2.2.2, Example 2.3: "Substituting" is misspelled.

Chapter 6

  • (online version only) Figure 6.7: should be (five times) and should be (one time).

Chapter 7

  • Just below caption for Figure 7.8: There is an extraneous dot.

Chapter 8

  • (online version only) Chapter 8.1.1, last paragraph: is improperly typeset.

Chapter 12

  • Caption of Figure 12.14, second-to-last sentence: "rotation if possible" should be "rotation is possible."

A partial list of errata contributors

Thanks to the following people who provided corrections, starting from the preliminary version of the book posted in October, 2016:

H. Andy Nam, Eric Lee, Yuchen Rao, Chainatee Tanakulrongson, Mengjiao Hong, Kevin Cheng, Jens Lundell, Elton Cheng, Michael Young, Jarvis Schultz, Logan Springgate, Sofya Akhmametyeva, Aykut Onol, Josh Holcomb, Yue Chen, Mark Shi, AJ Ibraheem, Yalun Wen, Seongjae Jeong, Josh Mehling, Felix Wang, Drew Warren, Chris Miller, Clemens Eppner, Zack Woodruff, Jian Shi, Jixiang Zhang, Shachar Liberman, Will Wu