I am doing loop shaping with the following transfer functions:
G = 10/((s+10)*(s+1)); K1 = 0.5/s;
where G is the process and K1 is the controller, and If I increase the badwidth of the seisitivity function in this way:
I have that also the bandwidth of the complementary sensitivity function increases:
And this is what I don't understand. Infact, as far as I know, the relationship between the sensitivity and the complementary sensitivity function is $S+T=1$ in the case of SISO systems, so how is it possible the if I increase the sensitivity, also the complementary sensitivity increases?
Can someone help me?
[EDIT] I konow that if we increase the bandwidth of the sensitivity function, the bandwidth of the complementary sensitivity function should decrease. Am I wrong?