control.gangof4_response

control.gangof4_response(P, C, omega=None, Hz=False)[source]

Compute the response of the “Gang of 4” transfer functions for a system.

Generates a 2x2 frequency response for the “Gang of 4” sensitivity functions [T, PS; CS, S].

Parameters

P (LTI) – Linear input/output systems (process and control)
C (LTI) – Linear input/output systems (process and control)
omega (array) – Range of frequencies (list or bounds) in rad/sec

Returns

response – Frequency response with inputs ‘r’ and ‘d’ and outputs ‘y’, and ‘u’ representing the 2x2 matrix of transfer functions in the Gang of 4.

Return type

FrequencyResponseData

Examples

>>> P = ct.tf([1], [1, 1])
>>> C = ct.tf([2], [1])
>>> response = ct.gangof4_response(P, C)
>>> lines = response.plot()