Fractional Order PID control

1、 Content abstract

Fractional order PID control
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2、 Content description

Propose a new proportion 、 integral 、 differential (PID) controller -- Fractional order PID controller ( Including fractional integrator and differentiator ), Put the traditional PID The order of the controller is extended to the fractional domain , It is not only suitable for fractional order systems , It is also applicable to some integer order systems , And can get some better than integer order PID The effect of the controller . Fractional order PID A digital implementation of a controller , Application Grunwald-Letnicov Definition of fractional calculus , Take the finite term as an approximation , Thus, it can be directly used in the time domain Z Transform method to calculate fractional order PID controller . Simulation results show the effectiveness of the proposed method .

3、 Simulation analysis

 

 

 

4、 Reference paper

Fractional order PID Controller and its digital implementation