what would be the roots of the characteristic equation?

If you consider a derivative control action only, what would be the roots of the characteristic equation? Is the system stable? If yes, determine the range of the derivative controller gain Kd? Can you apply final value of theorem of Laplace Transform to find the steady state error?

 

Q59;
Is it possible to apply a proportional-derivative (PD) control to convert the marginally stable system considered above to a stable system (i.e., roots having negative real parts.)? Determine the steady state error. Is it possible to meet the desired performance requirements with a PD controller? If yes, what would be the range of the proportional gain Kp and derivative gain Kd? (Hint. by looking at the location of roots on the s-plane or applying the Routh-Hurwitz criterion)

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set up and solve a case-study example of the light-intensity distribution in a photochemical reactor.

Photochemical reactor modeling: a case-study problem. Although radiation is important in heat transfer, an analogous model can be used in the design of photochemical reactors. The modeling of these reactors….

Write a critique on this technique of secondary-emission measurement.

Secondary-emission measurement: a case-study problem. An indirect way of measuring of secondary emission from ponds or large bodies of water used in waste treatment is to measure the concentration and….

set up a mass transfer model and evaluate the variation of the local mass transfer coefficient at various locations in the plate.

Chemical vapor deposition (CVD) on an inclined susceptor: a case-study problem. An important application of convective mass transfer theory is in CVD processes employed to coat surfaces with thin films….