From: Frank cori on
Im trying to the the contol input (u) to control my system under output/ input constraints by minimizing the quadraric performance function ( J= integ{(y-yr)^2+}dy +u' R u )
.. In the quadraric performance function I don't know the desired out (yr), I just know the bounded area of desired output, in other words, my measured output should be between yr_max and yr_min (yr_min<= y <= yr_max).

My question how I can minimize the quadraric performance function to calculate the input control without knowing the desired out (we have the bounded output area only)

If there any other useful method can help me in designing the controller under output constraint (except MPC) ?

Looking forwqard to hearing from you soon
Regards