• BME 444

# Exam Date: Tuesday, May 7, 12:00-3:20

These instructional objectives provide you with a guide for learning the course material. During the examination you should be able to:

Nise 1

1. Define control system
2. Define characteristics of a system response
3. Define open loop and closed loop control systems
4. Define input/reference, controller, summing juction, process/plant, output/controlled variable, output sensor/transducer
5. Draw a block diagram of a control system given a description
6. Describe the design process for feedback control systems
7. Classify differential equations

Nise 2

1. Explain how to use Matlab to perform a Laplace transform, inverse Laplace transform, and partial fraction expansion
2. Convert a differential equation into Laplace notation
3. Create a transfer function of a system given a differential equation
4. Create a transfer function of an electrical circuit
5. Solve differential equations of systems
6. Create a transfer function of a translational mechanical system
7. Create a transfer function of a rotational mechanical system
8. Create an electric circuit analog of a mechanical system
9. Derive the transfer function of systems with gears

Nise 3

1. Create a state-space representation of linear, time-invariant systems
2. Model systems in state space
3. Convert a transfer function to state space and vice versa

Milhorn 8

1. Define differences between physiological and technological control systems
2. Draw control system representations of physiological systems given a description
3. Find the equilibrium point between two graphs in a physiological control system
4. Linearize a non-linear function

Milhorn 3

1. Model physiological systems using mechanical (translational and rotational) and electrical elements
2. Use a mass balance to model a physiological system
3. Use Fick’s law to model a physiological system
4. Write differential equations for 0, 1st, and 2nd order chemical reactions

Nise 4

1. Use poles and zeroes of a transfer function to determine system time response
2. Qualitatively describe the transient response of 1st order systems
3. Calculate time constant, rise time, and settling time of 1st order systems
4. Identify the four types of responses for 2nd order systems given pole location, and vice versa
5. Write the general response equation of 2nd order systems given the pole locations
6. Find the damping ratio and natural frequency of a 2nd order system
7. Calculate the settling time, peak time, percent overshoot, and rise time for an underdamped 2nd order system
8. Determine if a higher-order system can be approximated as a 2nd order system
9. Determine the effect of adding poles and zeros to a 2nd order system

Nise 5

1. Draw basic elements of block diagrams
2. Simplify cascaded and parallel blocks
3. Simplify a control system with feedback into a single block
4. Rearrange blocks before and after summing junctions and pickoff points
5. Adjust the design of a feedback system to achieve desired outputs
6. Convert a block diagram to a signal-flow graph and vice versa
7. Use Mason’s rule to simplify a signal-flow graph
8. Convert a state-space representation to a signal-flow graph and vice versa

Nise 6

1. Define stable, unstable, and marginally stable in terms of natural response and bounded-input/bounded-output (BIBO)
2. Generate a Routh Table given an equivalent closed loop transfer function

Nise 7

1. List the types of test inputs
2. Calculate SS error for unity feedback systems in terms of $$T(s)$$ for step, ramp, and parabolic inputs
3. Calculate SS error for unity feedback systems in terms of $$G(s)$$ for step, ramp, and parabolic inputs
4. Calculate static error constants, $$K_p$$, $$K_v$$, $$K_a$$
5. Determine system type and characteristics based on static error constants and vice versa
6. Calculate the steady state error in a unity feedback system due to an input and a disturbance
7. Calculate the steady state error in a non-unity feedback system due to an input and a disturbance
8. Calculate the actuating signal in a non-unity feedback system
9. Calculate the sensitivity of a function to a parameter

Nise 8

1. Calculate magnitude of $$F(s)$$ given $$s$$
2. Determine number of poles from a root locus plot
3. Determine if a point is on the root locus plot
4. Sketch a root locus plot given G(s) and vice versa

Nise 9

1. Convert magnitude to decibels and vice versa
2. Calculate the magnitude and phase of a transfer function
3. Given a frequency, find a magnitude/phase from a Bode plot (or vice versa)
4. Determine the stability, gain margin, and phase margin of a system given a Bode plot
5. Determine the range of stability of a system from a Bode plot
6. Calculate the transfer function of a system with a time delay
7. Define the changes that a time delay causes in a Bode plot
8. Define closed loop gain, open loop gain, and loop gain
9. Given the poles of $$G(s)H(s)$$ and a Nyquist plot, determine if a system is stable
10. Determine the range of stability of a system from a Nyquist plot
11. Determine the gain margin and phase margin from a Nyquist plot

Last updated:
April 30, 2019