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## Systems Analysis Exam Review

The exam on systems analysis includes stability analysis, higher order systems, block diagrams, and more complex control architectures such as feedforward and cascade control.

- Laplace Transforms
- Transfer Functions
- State Space
- Second Order
- SOPDT Graphical Fit
- SOPDT Optimization Fit
- Simulate TF, SS, ODE
- Stability Analysis
- Cascade Control
- Feedforward Control

The following Learning Outcomes are relevant for the material in this section.

**Level 3 (Highest)**

- Students will be able to solve steady-state, overall, material and energy balances for systems which include one or more of the following: recycle, multiple units, chemical reactions.

**Level 2**

- Students will be able to set up and solve simple transient material balances.
- Students will be able to derive batch, CSTR, and PFR performance equations from general material balances.
- Students will demonstrate familiarity with process control terminology and understand the following control strategies: feed-back control, feed-forward control, and cascade control; as well as the difference between linear and nonlinear systems.
- Students will be able to write and solve ODE’s that describe the transient behavior of simple lumped-parameter systems.
- Students will be able to fit data from step or pulse tests to approximate linear models.
- Students will understand the concept of a transfer function in classical control and be able to use transfer functions (Laplace domain) to approximate the transient behavior of elements in a feedback control loop.
- Students will be able to predict the closed-loop behavior and evaluate the stability of simple control loops.
- Students will be able to use block diagrams to help determine system response characteristics.
- Students will understand and have a basic knowledge of how safety and environmental considerations are incorporated into engineering problem solving.

**Level 1**

- Students will be able to set up and solve transient energy balances
- Students will understand the concepts involved in multiple single loops in applications like simple distillation column control.