diff --git a/paper/paper.org b/paper/paper.org index 3513041..01a7ad5 100644 --- a/paper/paper.org +++ b/paper/paper.org @@ -72,8 +72,8 @@ Both proposed modifications are compared in terms of added damping, closed-loop # Such as the Nano-Active-Stabilization-System currently in development at the ESRF cite:dehaeze18_sampl_stabil_for_tomog_exper. -** Current active damping techniques :ignore: -# IFF, DVF +** Description of IFF and associated properties +# IFF => guaranteed stability ** Describe a gap in the research :ignore: # No literature on rotating systems => gyroscopic effects @@ -81,11 +81,11 @@ Both proposed modifications are compared in terms of added damping, closed-loop ** Describe the paper itself / the problem which is addressed :ignore: Due to gyroscopic effects, the guaranteed robustness properties of Integral Force Feedback do not hold. + Either the control architecture can be slightly modified or mechanical changes in the system can be performed. ** Introduce Each part of the paper :ignore: -This paper has been published The Matlab code that was use to obtain the results are available in cite:dehaeze20_activ_dampin_rotat_posit_platf. * Dynamics of Rotating Positioning Platforms @@ -234,7 +234,7 @@ The control diagram is schematically shown in Figure ref:fig:control_diagram_iff #+attr_latex: :scale 1 :float nil [[file:figs/system_iff.pdf]] #+end_minipage -\hfill +#+latex: \hfill #+attr_latex: :options [t]{0.40\linewidth} #+begin_minipage #+name: fig:control_diagram_iff @@ -242,6 +242,7 @@ The control diagram is schematically shown in Figure ref:fig:control_diagram_iff #+attr_latex: :scale 1 :float nil [[file:figs/control_diagram_iff.pdf]] #+end_minipage +#+latex: \newline ** Plant Dynamics :ignore: The forces measured by the two force sensors are equal to @@ -274,6 +275,7 @@ The zeros of the diagonal terms of $\bm{G}_f$ are equal to (neglecting the dampi \end{align} \end{subequations} +# TODO - Change that phrase: don't say it is easy It can be easily shown that the frequency of the two complex conjugate zeros $z_c$ eqref:eq:iff_zero_cc lies between the frequency of the two pairs of complex conjugate poles $p_{-}$ and $p_{+}$ eqref:eq:pole_values. For non-null rotational speeds, two real zeros $z_r$ eqref:eq:iff_zero_real appear in the diagonal terms inducing a non-minimum phase behavior. @@ -365,6 +367,7 @@ It is interesting to note that this gain $g_{\text{max}}$ also corresponds as to #+attr_latex: :scale 1 :float nil [[file:figs/root_locus_modified_iff.pdf]] #+end_minipage +#+latex: \newline ** Optimal Control Parameters :ignore: Two parameters can be tuned for the controller eqref:eq:IFF_LHF: the gain $g$ and the pole's location $\omega_i$. @@ -409,7 +412,7 @@ An example of such system is shown in Figure ref:fig:cedrat_xy25xs. #+attr_latex: :scale 1 :float nil [[file:figs/system_parallel_springs.pdf]] #+end_minipage -\hfill +#+latex: \hfill #+attr_latex: :options [t]{0.40\linewidth} #+begin_minipage #+name: fig:cedrat_xy25xs @@ -417,6 +420,7 @@ An example of such system is shown in Figure ref:fig:cedrat_xy25xs. #+attr_latex: :width \linewidth :float nil [[file:figs/cedrat_xy25xs.png]] #+end_minipage +#+latex: \newline ** Effect of the Parallel Stiffness on the Plant Dynamics :ignore: The forces measured by the sensors are equal to @@ -483,6 +487,7 @@ It is shown that if the added stiffness is higher than the maximum negative stif #+attr_latex: :scale 1 :float nil [[file:figs/root_locus_iff_kp.pdf]] #+end_minipage +#+latex: \newline ** Optimal Parallel Stiffness :ignore: Even though the parallel stiffness $k_p$ has no impact on the open-loop poles (as the overall stiffness $k$ stays constant), it has a large impact on the transmission zeros. @@ -554,7 +559,9 @@ They however do not degrades the transmissibility as high frequency as its the c * Conclusion <> -# MIMO approach to study the coupling effects? +# Shows the problem for IFF when rotating + +# Proposed two method * Acknowledgment :PROPERTIES: