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## EPFC
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An extended PFC controller is implemented to control a nonlinear system. The exemplar system considered is a cart with a spring attached to it, as shown in the image:
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An extended PFC controller is implemented to control a nonlinear system. The exemplar system considered is a cart with a nonlinear spring attached to it, as shown in the image:
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<img width="1000" height="800" alt="cart-with-spring" src="https://github.com/user-attachments/assets/05ea10e7-072e-4275-8c02-80a70bdfcb7c" />
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- `beta`, `Ni` and `TOL` are used when finding `D_nonlinar`.
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- `method` determines the linearization method: 'jacobian' or 'perturbation'
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- `is_programmed_ref`: if set to true, the reference will be considered programmed, meaning that the controller is aware of the future values of the reference signal.
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-`noise_power` power of white noise on the output
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-`dist_amp` the amplitude of disturbance on the output. The disturbance is considered to be a pulse signal.
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-`dist_time` the time when the disturbance is applied
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-`dist_duration` the duration of the disturbance
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- `noise_power` power of white noise on the output
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- `dist_amp` the amplitude of disturbance on the output. The disturbance is considered to be a pulse signal.
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- `dist_time` the time when the disturbance is applied
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- `dist_duration` the duration of the disturbance
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- `one_input_one_output` simulates the system for one input and one output coincidence points.
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- `one_input_three_outputs` simulates the system for one input and three output coincidence points.

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