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Update Content - 2024-08-09

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Thomas Dehaeze
2024-08-09 21:01:44 +02:00
parent a3b7ff9e2f
commit b4098c38c8
4 changed files with 16 additions and 16 deletions
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6
content/book/du19_multi_actuat_system_contr.md
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@@ -94,7 +94,7 @@ There characteristics are shown on table [1](#table--tab:microactuator).
<a id="table--tab:microactuator"></a>
<div class="table-caption">
<span class="table-number"><a href="#table--tab:microactuator">Table 1</a></span>:
<span class="table-number"><a href="#table--tab:microactuator">Table 1</a>:</span>
Performance comparison of microactuators
</div>
@@ -206,7 +206,7 @@ is satisfied, where \\(T\_{zw}\\) is the transfer function from \\(w\\) to \\(z\
{{< figure src="/ox-hugo/du19_h_inf_diagram.png" caption="<span class=\"figure-number\">Figure 6: </span>Block diagram for \\(\mathcal{H}\_\infty\\) loop shaping method to design the controller \\(C(s)\\) with the weighting function \\(W(s)\\)" >}}
Equation [1](#org563f2ec) means that \\(S(s)\\) can be shaped similarly to the inverse of the chosen weighting function \\(W(s)\\).
Equation [1](#org60aa04e) means that \\(S(s)\\) can be shaped similarly to the inverse of the chosen weighting function \\(W(s)\\).
One form of \\(W(s)\\) is taken as
\begin{equation}
@@ -339,7 +339,7 @@ A decoupled control structure can be used for the three-stage actuation system (
The overall sensitivity function is
\\[ S(z) = \approx S\_v(z) S\_p(z) S\_m(z) \\]
with \\(S\_v(z)\\) and \\(S\_p(z)\\) are defined in equation [1](#org9bf2b8d) and
with \\(S\_v(z)\\) and \\(S\_p(z)\\) are defined in equation [1](#org3237465) and
\\[ S\_m(z) = \frac{1}{1 + P\_m(z) C\_m(z)} \\]
Denote the dual-stage open-loop transfer function as \\(G\_d\\)