Introduction: PID Controller Design
   Introduction: PID Controller Design   In this tutorial we will introduce a simple yet versatile feedback compensator structure, the Proportional-Integral-Derivative (PID) controller. We will discuss the effect of each of the pid parameters on the closed-loop dynamics and demonstrate how to use a PID controller to improve the system performance.   Key MATLAB commands used in this tutorial are:  tf  ,  step  ,  pid  ,  feedback  ,  pidtool  ,  pidtune    In this tutorial, we will consider the following unity feedback system:     The output of a PID controller, equal to the control input to the plant, in the time-domain is as follows:   (1)   First, let's take a look at how the PID controller works in a closed-loop system using the schematic shown above. The variable ( ) represents the tracking error, the difference between the desired input value ( ) and the actual output ( ). This error signal ( ) will be sent to the PID controlle...
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