EE 544 - Spring 2021

EE 544: Modern Control Theory - Spring 2021

Instructor: Kevin Wedeward (Workman 221, 835-5708, kevin.wedeward@nmt.edu, https://sites.google.com/nmt.edu/kevin-wedeward/)

Class Day and Time: MW 01:20pm-02:35pm

• In person section held in Speare 117.

• Distance section accessed via Zoom.

Office Hours: MWF 02:45pm-04:00pm, by appointment, and any time office door is open

Textbook: Linear State-Space Control Systems by Robert L. Williams II and Douglas A. Lawrence, February 2007, ISBN: 978-0-471-73555-7

Prerequisite: Graduate standing in electrical engineering or consent of instructor and advisor.

Course Description from Catalog: Treatment of modern approach to control system design primarily via state-space analysis techniques for both continuous and discrete time systems. Topics include the realization of MIMO models for real-systems, linear feedback control, the design of observers, optimal control, and concepts in stability. The latter part of the course will address recent advanced topics of current relevance. Associated hardware and software-based lab/project(s) will include the use of computer-based data acquisition systems.

Topics:

• Introduction to feedback control systems

• Classical control systems and Proportional-Integral-Derivative (PID) control

• State-space models of systems

• Solution, simulation and stability of state-space equations

• Controllability and design of state feedback controllers

• Observability and design of observers (state estimators) & observer-based compensators/controllers

• Optimal control

Course Outcomes: Students will be able to

• represent a physical system with a state-space model;

• assess a system's stability;

• simulate (numerically solve) a system modeled by state-space equations;

• determine if a system is controllable, and if so, design a state feedback controller to achieve desired performance;

• determine if a system is observable, and if so, design an observer (state estimator) to achieve desired behavior; and

• use computer-based tools (e.g., MATLAB) to perform computer-based simulation, and assist with design and analysis of controllers and observers.

Grading:

• Homework: 34 %

  • • • • To be submitted via Canvas.

        • Collaboration, i.e., working together, on homework is encouraged, but the work turned in must be your own and not copied from someone and/or somewhere else.

        • Homework should be neatly written with all steps clearly shown.

        • Late homework is not accepted.

• Projects: 33%

  • • • • Projects will be undertaken individually or by teams with only those resources specified.

    • Exams: 33%

      • • Exams will be taken individually with only those resources specified.

Assignments:

• Wed Jan 20, 2021 - Read Chapter 1

• Wed Feb 3, 2021 - Read Chapter 2

• Mon Feb 15, 2021 - Read Chapter 3

• Mon Feb 15, 2021 - HW 1

• Mon Feb 22, 2021 - Read Chapter 4

• Wed Mar 3, 2021 - Read Sections 6.1, 6.4, 6.5

• Mon Mar 8, 2021 - Read Chapter 7

• Thu Mar 18, 2021 - HW 2

• Sun Mar 28, 2021 - Exam 1

• Wed Mar 31, 2021 - Read Sections 8.1, 8.4-8.7

• Wed Apr 7, 2021 - Read 9.1, 9.5, 9.6; Watch Videos on Linear Quadratic Regulator

• Wed Apr 14, 2021 - HW 3

• Fri Apr 30, 2021 - HW 4

• Mon May 3, 2021 - Project

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COVID-19 Safety Issues for Face-to-Face Instruction: Students must follow campus-wide safety protocols, including mandatory use of face coverings and maintaining a minimum of 6 ft social distance from other students and faculty. Students should not enter the classroom earlier than 10 minutes prior to start of class, and should exit the classroom within 10 minutes of the end of class. Students who fail to comply are subject to disciplinary procedures.

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