control.relay_hysteresis_nonlinearity
- class control.relay_hysteresis_nonlinearity(b, c)[source]
Bases:
DescribingFunctionNonlinearity
Relay w/ hysteresis nonlinearity for 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).
Examples
>>> nl = ct.relay_hysteresis_nonlinearity(1, 2) >>> nl(0) -1 >>> nl(1) # not enough for switching on -1 >>> nl(5) 1 >>> nl(-1) # not enough for switching off 1 >>> nl(-5) -1
Methods
Return the describing function for a nonlinearity.