Course 19 | Core
Control Systems
Study feedback, block diagrams, stability, PID control, root locus, frequency response, Bode plots, controller design, and implementation issues.
Course snapshot
- Purpose
- Control Systems teaches how feedback can guide system behavior after the system dynamics are understood.
- Next in the guided sequence
- Used in Career Directions
How to study this course
- Define input, output, and performance goal
- Draw the block diagram
- Analyze response and stability
- Design or tune the controller
- Check performance against limits
How this course is designed
Original course map
This course uses an original MechCompass module order using prerequisite logic, standard engineering practice, and evidence tasks. Suggested references are optional and listed separately.
Modeled, then controlled
Almost every module follows one arc: model the system, represent it as a transfer function or block diagram, analyze its response and stability, then design a controller that meets the specification.
Stability is never assumed
A controller is only trusted when the closed loop is stable with adequate margins. Every design is checked against time-response and frequency-domain limits before it is accepted.
The 10 modules
01 | Module
Introduction to Control Systems
What feedback control is, where mechanical engineers use it, and how to define input and output.
02 | Module
Laplace Transforms and Transfer Functions
Convert differential-equation models into transfer functions for system response analysis.
03 | Module
System Modeling
Build block diagrams and transfer functions for mechanical, electrical, and electromechanical systems.
04 | Module
Time Response
Understand first-order and second-order response, overshoot, settling time, and dominant behavior.
05 | Module
Steady-State Error
Analyze tracking error, system type, and error constants for feedback systems.
06 | Module
Stability and the Routh Criterion
Check closed-loop stability using characteristic equations and the Routh-Hurwitz criterion.
07 | Module
Root Locus
Study how closed-loop poles move as controller gain changes.
08 | Module
Frequency Response
Use Bode plots to understand gain, phase, bandwidth, and dynamic behavior.
09 | Module
Stability Margins
Interpret gain margin, phase margin, robustness, and practical stability limits.
10 | Module
PID Control
Design and tune proportional, integral, and derivative control for practical systems.