Recently i am working on a hydraulic control system of a vehicle. But in this system I don't have any mathematical modeling of the system so i am not able to get any state space model for the given system. I have to control the length of Piston in Hydraulic Cylinder by giving input of desired piston position. Modeling of this system is established in Matlab/Simulink using physical modeling tools SimScape Toolbox and simFluids. As one approach i had already try to apply a feedback with P-control as show in the figure Matlab System and also the gain of P control is derived by trial and error.
Now if i want to apply state obeserver or optimal Control than how can i apply on this given system.
And is necessary to derive mathematical model of this system to desing controller?