control.DescribingFunctionResponse

class control.DescribingFunctionResponse(response, N_vals, positions, intersections)[source]

Results of describing function analysis.

Describing functions allow analysis of a linear I/O systems with a static nonlinear feedback function. The DescribingFunctionResponse class is used by the describing_function_response() function to return the results of a describing function analysis. The response object can be used to obtain information about the describing function analysis or generate a Nyquist plot showing the frequency response of the linear systems and the describing function for the nonlinear element.

response

Frequency response of the linear system component of the system.

Type: FrequencyResponseData

intersections

A list of all amplitudes and frequencies in which $H(j\omega) N(a) = -1$ , where $N(a)$ is the describing function associated with F, or None if there are no such points. Each pair represents a potential limit cycle for the closed loop system with amplitude given by the first value of the tuple and frequency given by the second value.

Type: 1D array of 2-tuples or None

N_vals

Complex value of the describing function.

Type: complex array

positions

Location of the intersections in the complex plane.

Type: list of complex

__init__(response, N_vals, positions, intersections)[source]: Create a describing function response data object.

Methods

`__init__`(response, N_vals, positions, ...)	Create a describing function response data object.
`plot`(**kwargs)	Plot the results of a describing function analysis.

plot(**kwargs)[source]

Plot the results of a describing function analysis.

See describing_function_plot() for details.