These are in every paper about anti-windup or systems with actuator saturation. I haven't find any prove for that. In every paper they say they are equivalent.
K = [K1; K2] is the Controller
G = [G1; G2] is the plant
M = is the chosen transfer function matrix as anti windup
This image is taken from the paper:
"Accounting for uncertainty in anti-windup synthesis" by Matthew C. Turner, Guido Herrmann and Ian Postlethwaite
Yousof Ebneddin Hamidi
Thanks. I already saw that paper. It is referring to the following for the prove which I couldn't find it
Weston, P. F., & Postlethwaite, I. (1997b). Analysis and design of linear conditioning schemes for systems containing saturating actuators. Technical Report 97-12, Department of Engineering, Leicester
University, UK.
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