Control theory - Closed-loop transfer function with actuator saturation
consider a closed-loop with actuator saturation (see the image). What is the transfer function of this saturation block? And what is the closed-loop transfer function of the system?
I came up with this (Worried)
Closed-loop transfer function:
H(s)= K(s)SAT(s)G(s) / 1+K(s)SAT(s)G(s)
SAT(u)=sign(u).min(|u|, u_lim) (u is bounded from -u_lim to u_lim)
but I don't think it's correct...
Any help would be greatly appreciated. Thanks A LOT (Happy)
Have a great day