ECE 421 Homework #15, Spring 2000
Due Tuesday, May 9
In each problem below, design a compensator Gc (s) such that all specifications are
satisfied for the system, and plot the original and the final compensated Bode magnitude and phase plots. 1. A certain plant is described by The following specifications must be satisfied by the compensated system: 1. the steady-state error for a unit ramp input must be 0.01; 2. the compensated phase margin must be at least 60°; 3. the step response of the compensated system must not be slower than the step
response of the uncompensated system. 2. The transfer function for a certain system is The following specifications must be satisfied by the compensated system: 1. the compensated gain crossover frequency wx-compensated must be between 0.1 and 1.0 radians per second; 2. the phase margin must be at least 30°; 3. the steady-state error for a parabolic input must be 1. 3. A given plant has the open-loop transfer function The following specifications must be satisfied by the compensated system: 1. the steady-state error for a unit ramp input must be 0.05; 2. the compensated phase margin must be approximately 45°; 3. the compensated gain crossover frequency wx-compensated must be > 10 r/s. 4. A given plant has the open-loop transfer function The following specifications must be satisfied by the compensated system: 1. the steady-state error for a unit ramp input must be 0.05; 2. the compensated phase margin must be approximately 45°; 3. the compensated gain crossover frequency wx-compensated must be < 10 r/s. 5. A certain plant is described by The following specifications must be satisfied by the compensated system: 1. the steady-state error for a unit ramp input must be 0.01; 2. the compensated phase margin must be at least 50°; 3. the closed-loop bandwidth of the compensated system must be less than the bandwidth for the uncompensated system.
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