How to find step response of a non linear system

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Rakesh Jain 2018-3-25

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https://ww2.mathworks.cn/matlabcentral/answers/390505-how-to-find-step-response-of-a-non-linear-system

编辑： Birdman 2018-3-26

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 2018-3-26

What does your system look like? The equations? Probably a linearization process will take place.

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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