Senin, 14 September 2015

 Definition and Purpose The Control System
 
The control system has the sense that the process to set a plan or a system in accordance with a predetermined set point. The purpose of control system is to achieve output in accordance with the set point disturbance, interference and load. For example in airplanes, airplanes will be stable when not flying. But that is not what would be the purpose of the control system, the goal with the aircraft control system that will remain stable despite disturbances during flight such as wind speed, air temperature, gravity and others. In its application, the control system can determine whether the system is stable or not. Below is an example to determine whether the system is stable or not by using the transfer function of second orde.
For example on a system is known mathematical equation as follows:

In accordance with the formulaC(s) = G(s) x R(s)

Then :

From the above it can be seen the system characteristic equation is equal with (s+1) (s-2)
So that the roots of the characteristic equation is s=-1 and s=2


From the above characteristics, it is known that the system is unstable because there is one positive root. Such an approach also applies to the system of the order of 3,4,5 and so on. If there is only one root that is positive, then the system is unstable.

The chart will be determined by the response with a given inverse to the system, this can be done as a proof.
                                      


In accordance with the Laplace transform table then the equation, if the inverse system will be 
     
  
   From the new equation is shown a graph:


  From the graph above responses will continue to rise, causing the system unstable.
 
  Transformasi Laplace Table:
   
   
   
   
   
 
 





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