control.relay_hysteresis_nonlinearity

class control.relay_hysteresis_nonlinearity(b, c)

Relay w/ hysteresis nonlinearity for use in describing function analysis

This class creates a nonlinear function representing a a relay with symmetric upper and lower bounds of magnitude b and a hysteretic region of width c (using the notation from [FBS2e](https://fbsbook.org), Example 10.12, including the describing function for the nonlinearity. The following call creates a nonlinear function suitable for describing function analysis:

F = relay_hysteresis_nonlinearity(b, c)

The output of this function is b if x > c and -b if x < -c. For -c <= x <= c, the value depends on the branch of the hysteresis loop (as illustrated in Figure 10.20 of FBS2e).

__init__(b, c)

Initailize a describing function nonlinearity (optional)

Methods

__init__(b, c)

Initailize a describing function nonlinearity (optional)

describing_function(A)

Return the describing function for a nonlinearity

describing_function(A)

Return the describing function for a nonlinearity

This method is used to allow analytical representations of the describing function for a nonlinearity. It turns the (complex) value of the describing function for sinusoidal input of amplitude A.