# BME 444 - Exam 2 Instructional Objectives

# Exam Date: 04/18/19

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

**Nise 5**

- Draw basic elements of block diagrams
- Simplify cascaded and parallel blocks
- Simplify a control system with feedback into a single block
~~Rearrange blocks before and after summing junctions and pickoff points~~- Adjust the design of a feedback system to achieve desired outputs
~~Convert a block diagram to a signal-flow graph and vice versa~~~~Use Masonâ€™s rule to simplify a signal-flow graph~~~~Convert a state-space representation to a signal-flow graph and vice versa~~

**Nise 6**

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

**Nise 7**

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

**Nise 8**

- Calculate magnitude of \(F(s)\) given \(s\)
- Determine number of poles from a root locus plot
- Determine if a point is on the root locus plot
~~Sketch a root locus plot given G(s) and vice versa~~

**Nise 9**

- Convert magnitude to decibels and vice versa
- Calculate the magnitude and phase of a transfer function
- Given a frequency, find a magnitude/phase from a Bode plot (or vice versa)
- Determine the stability, gain margin, and phase margin of a system given a Bode plot
- Determine the range of stability of a system from a Bode plot
- Calculate the transfer function of a system with a time delay
- Define the changes that a time delay causes in a Bode plot
- Define closed loop gain, open loop gain, and loop gain
- Given the poles of \(G(s)H(s)\) and a Nyquist plot, determine if a system is stable
- Determine the range of stability of a system from a Nyquist plot
- Determine the gain margin and phase margin from a Nyquist plot