finalexama_mme436_summer2020 (1).pdf

ECE/MME 436: Control of Dynamic Systems 1. The system shown below achieves a transient response that is satisfactory when the proportional control law ( D s  4 ) is used. (a) If the system requires a similar transient response but zero steady-state error when exposed to step inputs, which of the following controllers is required (without over designing)? (b) Design the controller that can maintain a similar transient response with zero steady-state error when exposed to step inputs. 2. Use the root locus method to design a PID controller for the system shown has the following performance requirements: (i) a peak time of Tp  1.0472 second, (ii) a damping ratio of   0.8 and (iii) zero steady-state error for step inputs. Ignoring numerator dynamics, design a controller which satisfies the performance requirements listed. 3. Use the direct pole placement to design a PD control law such that the following performance requirements are achieved: (i) an overshoot of 20%, and (ii) a 0.8 second peak time when exposed to a step input.