# BME 444 - Exam 1 Instructional Objectives

# Exam Date: 03/05/19

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

**Nise 1**

- Define control system
- Define characteristics of a system response
- Define open loop and closed loop control systems
- Define input/reference, controller, summing juction, process/plant, output/controlled variable,
*output sensor/transducer* - Draw a block diagram of a control system given a description
- Describe the design process for feedback control systems
- Classify differential equations

**Nise 2**

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

**Nise 3**

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

**Milhorn 8**

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

**Milhorn 3**

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

**Nise 4**

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