How to find step response of a non linear system

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I am reading a paper "Design of PID-P Controller for Non-Linear System using PSO " by Rajim Gupta, P.K.Padhy. In that paper, the authors have simulated a step response of a nonlinear system with a PID controller. My question is, how can one simulate the step response of a nonlinear system with a PID controller using MATLAB? Further, how to find time response specifications such as rise time,. settling time, etc., for the same?
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Birdman
Birdman 2018-3-26
What does your system look like? The equations? Probably a linearization process will take place.
Rakesh Jain
Rakesh Jain 2018-3-26
编辑:Rakesh Jain 2018-3-26
The system is as follows: y dot = 0.5y^2 -y + x. It is given on Pg. 3 at http://ieeexplore.ieee.org/document/6780184/ I need to simulate a closed loop response with PID controller with Kp = 2, Ki=0.6 and Kd=0.5

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Birdman
Birdman 2018-3-26
Run the attached model. Let me know the results.
  8 个评论
Rakesh Jain
Rakesh Jain 2018-3-26
One final question. What does the variable x_y mean in the simulink model?
Birdman
Birdman 2018-3-26
编辑:Birdman 2018-3-26
It represents x-y operation in the equation.

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