Nearest distance between point and line layers in QGIS

I have two layers, a line and a point layer.

I need to make a line layer which connects all the points to the nearest line feature. How can I do that?

Is there a plugin available for QGIS? This is a very important tool which is missing in QGIS.

ArcView has this tool: Nearest Features

Answer

As an alternative, you could:

1. 
   

   Use the Convert Lines to Points tool from:

   
   

   Processing Toolbox > SAGA > Shapes - Points > Convert Lines to Points

   
   

   (Add points over small distances. E.g. add a point every 1m if the overall line is 100m)

   
   

   

   
   


2. 
   

   Use the Distance to nearest hub from:

   
   

   Processing Toolbox > QGIS geoalgorithms > Vector analysis tools > Distance to nearest hub

   
   
   

   (Set the parameters, using the output layer of the Convert Lines to Points tool as the Destination hubs layer and setting the Output shape type as Line to hub)

   
   

   

   
   


3. 
   

   Final result should be a line layer which connects the original points layer with the original line layer (with line-converted points):

   
   

   

   
   

   (without line-converted points):

   
   

   

   
   

I used QGIS 2.12.3-Lyon.