Given the following ODE ў + 2ў — Зу —й+ 2и 1. Write down a state space realization for the system 2. Compute the transfer function of the system from the SS computed in part 1 3. Now design a PI/PID controller for the system with BW 5 rad/s. Decide on whether you need a PID or if a PI will suffice, based on phase requirements from the zeros in the controller. If a PID is required then use tau 1/100 (time constant for the pseudo pole). Show all work. 4. Plot T and S and comment on your observations regarding the command following and output disturbance rejection properties of your design.

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody

Which of the following controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.