Update Content - 2024-12-17

content/article/alkhatib03_activ_struc_vibrat_contr.md

@@ -75,7 +75,7 @@ The major restriction to the application of feedforward adaptive filtering is th
 
 <a id="table--table:comparison-constrol-strat"></a>
 <div class="table-caption">
-  <span class="table-number"><a href="#table--table:comparison-constrol-strat">Table 1</a></span>:
+  <span class="table-number"><a href="#table--table:comparison-constrol-strat">Table 1</a>:</span>
   Comparison of control strategies
 </div>
 
@@ -123,7 +123,7 @@ Uncertainty can be divided into four types:
 -   neglected nonlinearities
 
 The \\(\mathcal{H}\_\infty\\)  controller is developed to address uncertainty by systematic means.
-A general block diagram of the control system is shown figure [1](#figure--fig:alkhatib03-hinf-control).
+A general block diagram of the control system is shown [Figure 1](#figure--fig:alkhatib03-hinf-control).
 
 A **frequency shaped filter** \\(W(s)\\) coupled to selected inputs and outputs of the plant is included.
 The outputs of this frequency shaped filter define the error ouputs used to evaluate the system performance and generate the **cost** that will be used in the design process.
@@ -204,7 +204,7 @@ Two different methods
 
 {{< figure src="/ox-hugo/alkhatib03_1dof_control.png" caption="<span class=\"figure-number\">Figure 2: </span>1 DoF control of a spring-mass-damping system" >}}
 
-Consider the control system figure [2](#figure--fig:alkhatib03-1dof-control), the equation of motion of the system is:
+Consider the control system [Figure 2](#figure--fig:alkhatib03-1dof-control), the equation of motion of the system is:
 \\[ m\ddot{x} + c\dot{x} + kx = f\_a + f \\]
 
 The controller force can be expressed as: \\(f\_a = -g\_a \ddot{x} + g\_v \dot{x} + g\_d x\\). The equation of motion becomes: