4 units – Winter Quarter

**Lecture:** 3 hours

**Laboratory: **3 hours

**Prerequisite:** EEC 157A

**Grading:** Letter.

**Catalog Description:**

Control system optimization and compensation techniques, digital control theory. Laboratory includes Servo system experiments and computer simulation studies.

**Expanded Course Description:**

- The Design and Compensation of Feedback Control Systems
- Approaches to Compensation
- Cascade Compensation Networks
- Proportional-Integral-Derivative Compensation
- Phase-Lead Compensation Design Using the Bode Diagram
- Phase-Lead Compensation Design Using the Root Locus
- Phase-Lag Compensation Design Using the Bode Diagram
- Phase-Lage Compensation Design Using the Root Locus
- Systems with a Pre-filter

- Analysis and Design of Control Systems using State Space Representations
- The State Variables of a Dynamic System
- The State Vector Differential Equation
- The Time Response and the Transition Matrix
- Solving the Linear, Time-Invariant State Equation
- State-spoace Representations of Transfer-Functions
- Signal Flow Graph State Models
- The Stability of Systems in the Time Domain
- Controllability and Observability
- Pole Placement

- Discrete-Time Control Systems
- Definition and Properties of the Z-Transform
- Transfer-Functions of Discrete-Data Systems
- Stability of Discrete-Data Systems and the Jury Criterion
- Steady-State Error ANalysis of Discrete-Data Control Systems
- Root-Loci of Discrete-Data Control Systems
- Digital Implementation of Analog Controllers
- Frequency Domain Design of Discrete-Data

**Laboratory Projects:**

- Feedback Control of DC motor
- Lab 1 Complete the path from the user to cRIO I/O modules
- Lab 2 Complete the path from the user to the DC motor
- Lab 3 Complete the path from the encoder disk to the user
- Lab 4 Complete closed-loop control with a P-controller in cRIO
- Lab 5 Complete closed-loop control with a PI-controller in cRIO
- Lab 6 Complete closed-loop control with a PID-controller in cRIO

**Computer Usage: **

Matlab (with the Control System Toolbox) is used for control system design and simulation.

**Textbook: **

- R. Dorf and R. Bishop,
*Modern Control Systems*, Pearson.

**Engineering Design Statement:**

This course focuses on design in the laboratory and in the homework. The problems are relatively unspecified and the student is challenged to complete the problem specifications, propose a design strategy and complete the iterative steps required to select the “best” set of parameters. The student is required to continually use computer-aided design software and for two systems to actually verify the results of the desing using a constructed system with actual components.

**Relationship to Outcomes: **

Students who have successfully completed this course should have achieved:

Course Outcomes | ABET Outcomes |

An ability to apply knowledge of mathematics, science, and engineering | A |

An ability to design and conduct experiments, as well as to analyze and interpret data | B |

An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability | C |

An ability to identify, formulate, and solve engineering problems | E |

An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. | K |

**Professional Component:**

Engineering Depth, Laboratory, Project

Engineering Science: 2 credits

Engineering Design: 2 credits