For the system of Problem 15.1, now assume that the sensor has a 5% error in its DC position measurement. Can you design a feedback loop to compensate for this error? If "yes," show the design. If "no," explain.
Problem 15.1
For the feedback system of Fig. 15.2, assume the plant is an accelerometer modeled by a spring-mass-dashpot system with a mass of 0.1 milligram, a resonance frequency of 5 kHz, and a Q of 2, and a position sensor that has a unity-gain transfer function at DC (no error) and a single-pole frequency response with a 20 kHz roll-off. Is there any way a proportional controller can create an overall system response to an accelerator disturbance such that there is no overshoot? If "yes" what is the maximum gain that can be used. If "no," present a convincing argument based either on analysis or numerical modeling with MATLAB or SIMULINK.
