Describe how delay in the loop of any feedback control syste

Describe how delay in the loop of any feedback control system can compromise the closed-loop system stability.

Solution

BELOW I EXPLAINED IN GENARAL MANNER....please gothrough it

Any delay in the control system will reduce its stability and reduces the achievable responce time of the system.The presence of loop delays typically imposes strict limitations on achievable feedback performance. With delays in measurement channels, the controller receives “outdated” information about process behavior. Similarly, with delays in actuation channels, control action cannot be applied “on time” thus reducing the efficiency of the compensation of the effect of disturbances, etc. The presence of loop delays also complicates controller design considerably. In the continuous-time case, complications are caused by the fact that the delay element is infinite dimensional, so that many classical methods cannot be applied directly. In the discrete-time case, the presence of the delay element is considered somewhat less technically challenging as the finite-dimensional ´ h can be easily absorbed into the plant. Yet this approach might be misleading as it typically increases the problem dimension and blurs the structure of the delay element.