Online Education for Working Professionals
Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors.

Control Systems—Graduate Certificate

Control Systems

Apply feedback control laws to stabilize systems and achieve performance goals.

Control systems are ubiquitous among many science and engineering disciplines. Learn topics in modeling, analysis, simulation, and feedback control design of dynamic systems. Design in the frequency and time domains of linear and nonlinear systems. Mathematically model and analytically compare complex, dynamic processes. Join the field of control systems engineering.

3 courses in 3 semesters.

Department Mechanical Engineering-Engineering Mechanics
  Electrical and Computer Engineering
Admissions requirement Acceptance to the Graduate School.
Contact Jason Blough
  Michael Roggemann
Length 3 courses in 2-3 semesters
Effort 3 hours per credit per week
Each course 3 credits
Total credits 9
Course type Online or on-campus
Modality Watch class recordings on demand
Cost Based on credits and course type
Already enrolled? Speak with your advisor.

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Progress quickly with a compact curriculum.

Work with the program advisor to select courses that fit your interests and pre-requisite skills.

Check your preparation.

Here are some of the pre-requisite courses for this certificate.

EE 3261 - Control Systems

Mathematical formulation of control problems (both transfer function and state-variable descriptions); analysis of feedback control systems (stability, transient performance, steady-state error, sensitivity, etc.); analog and digital simulation; and experiments with physical systems.

  • Credits: 3.0
  • Lec-Rec-Lab: (2-0-2)
  • Semesters Offered: Fall, Spring
  • Pre-Requisite(s): EE 3160

EE 4227 - Power Electronics

Fundamentals of circuits for electrical energy processing. Covers switching converter principles for dc-dc, ac-dc, and dc-ac power conversion. Other topics include harmonics, pulse-width modulation, feedback control, magnetic components and power semiconductors.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: Fall, Summer
  • Pre-Requisite(s): EE 3120 and (EE 3130(C) or EE 3131)

EE 5200 - Advanced Methods in Power Systems

Advanced analysis and simulation methods for load flow, symmetrical components, short circuit studies, optimal system operation, stability, and transient analysis. Application of commonly used software reinforces concepts and provides practical insights.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Electrical Engineering, Electrical Engineering, Electrical & Computer Engineer; May not be enrolled in one of the following Class(es): Freshman, Sophomore, Junior
  • Pre-Requisite(s): EE 4222

MEEM 3750 - Dynamic Systems

This course deals with the modeling, analysis and control of mixed physics systems. It covers differential equation generation for mechanical, thermal, and electrical systems, their simulation, and methods for analyzing their performance operating in both open and closed loop.

  • Credits: 4.0
  • Lec-Rec-Lab: (0-4-0)
  • Semesters Offered: Fall, Spring, Summer
  • Restrictions: Must be enrolled in one of the following Major(s): Mechatronics, Mechanical Engineering
  • Pre-Requisite(s): MEEM 2700 and (MA 3520 or MA 3521 or MA 3530 or MA 3560)

MEEM 4775 - Analysis & Design of Feedback Control Systems

This course covers topics of control systems design. Course includes a review for modeling of dynamical systems, stability, and root locus design. Also covers control systems design in the frequency domain, fundamentals of digital control and nonlinear systems.

  • Credits: 4.0
  • Lec-Rec-Lab: (0-3-2)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Major(s): Mechanical Eng-Eng Mechanics, Mechatronics, Engineering Mechanics, Mechanical Engineering
  • Pre-Requisite(s): MEEM 3750

Take a 3 credit required course.

Take one of the following.

MEEM 5715 - Linear Systems Theory and Design

Overview of linear algebra, modern control; state-based design of linear systems, observability, controllability, pole placement, observer design, stability theory of linear time-varying systems, Lyapunov stability, optimal control, linear quadratic regulator, Kalman filter,

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Mechanical Engineering, Mechanical Eng-Eng Mechanics, Engineering Mechanics
  • Pre-Requisite(s): MEEM 3750 or EE 3261

EE 5715 - Linear Systems Theory and Design

Overview of linear algebra, Modern Control: state-space based design of linear systems, observability, controllability, pole placement, observer design, stability theory of linear time-varying systems, Lyapunov stability, optimal control, Linear Quadratic regulator, Kalman filter, Introduction to robust control.

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Electrical Engineering, Electrical & Computer Engineer
  • Pre-Requisite(s): EE 3261 or MEEM 3750

Take 6 credits of elective courses.

Do not take both MEEM 5812 and EE 5812. Do not take both MEEM 6702 and EE 6702.

MEEM 5730 - Dynamic System Simulation Methods is an elective. Check online offerings to see when it is available.

MEEM 4775 - Analysis & Design of Feedback Control Systems

This course covers topics of control systems design. Course includes a review for modeling of dynamical systems, stability, and root locus design. Also covers control systems design in the frequency domain, fundamentals of digital control and nonlinear systems.

  • Credits: 4.0
  • Lec-Rec-Lab: (0-3-2)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Major(s): Mechanical Eng-Eng Mechanics, Mechatronics, Engineering Mechanics, Mechanical Engineering
  • Pre-Requisite(s): MEEM 3750

MEEM 5812 - Automotive Control Systems

Introduction to automotive control systems. Modeling and control methods are presented for: air-fuel ratio, transient fuel, spark timing, idle speed, transmission, cruise speed, anti-lock brakes, traction, active suspension systems, and hybrid electric vehicles, Advanced control methodologies are introduced for appropriate applications.

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Spring
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Mechanical Engineering, Mechanical Eng-Eng Mechanics, Engineering Mechanics
  • Pre-Requisite(s): MEEM 4700 or MEEM 4775

EE 5812 - Automotive Control Systems

Introduction to automotive control systems. Modeling and control methods are presented for: air-fuel ratio, transient fuel, spark timing, idle speed, transmission, cruise speed, anti-lock brakes, traction, active suspension systems, and hybrid electric vehicles, Advanced control methodologies are introduced for appropriate applications.

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Spring
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Electrical & Computer Engineer, Electrical Engineering, Computer Engineering
  • Pre-Requisite(s): EE 3261 or MEEM 4700 or MEEM 4775

MEEM 6702 - Nonlinear Sys Analy & Control

Studies nonlinear systems from perspective of analysis/control system design. Explores fundamental properties for nonlinear differential equations in addition to describing functions, phase plane analysis, stability/instability theorems. Develops and applies control system design approaches for nonlinear systems, including feedback linearization and sliding mode control.

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Spring
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate
  • Pre-Requisite(s): MEEM 5715

EE 6702 - Nonlinear System Analysis and Control

Studies nonlinear systems from perspective of analysis/control system design. Explores fundamental properties for nonlinear differential equations in addition to describing functions, phase plane analysis, stability/instability theorems. Develops and applies control system design approaches for nonlinear systems, including feedback linearization and sliding mode control.

  • Credits: 3.0
  • Lec-Rec-Lab: (0-3-0)
  • Semesters Offered: Spring
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate
  • Pre-Requisite(s): EE 5715 or MEEM 5715

EE 5500 - Probability and Stochastic Processes

Theory of probability, random variables, and stochastic processes, with applications in electrical and computer engineering. Probability measure and probability spaces. Random variables, distributions, expectations. Random vectors and sequences. Stochastic processes, including Gaussian and Poisson processes. Stochastic processes in linear systems. Markov chains and related topics.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: Fall
  • Restrictions: Must be enrolled in one of the following Major(s): Electrical Engineering, Electrical Engineering, Electrical & Computer Engineer; May not be enrolled in one of the following Class(es): Freshman, Sophomore, Junior

EE 5522 - Digital Image Processing

Fundamentals of image processing are covered including image representation, geometric transformations, binary image processing, compression, space and frequency domain processing. Computer programming in MATLAB and Python required.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: Fall, Spring
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate; Must be enrolled in one of the following Major(s): Electrical & Computer Engineer, Electrical Engineering, Computer Engineering

EE 6210 - Power System Dynamics and Stability

A study of the dynamic behavior of power systems. A review of synchronous machine modeling, system dynamic equations, and method of analysis. Examines overall system behavior via small signal and transient stability and energy functions. Also studies voltage stability and non-linear effects.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: On Demand
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate
  • Pre-Requisite(s): EE 5200

EE 5227 - Advanced Power Electronics

Advanced topics of circuits for electrical energy processing. Covers switching converter principles for dc-dc, ac-dc, and dc-ac power conversion. Other topics include harmonics, pulse-width modulation, classical feedback control, nonlinear control, magnetic components, power semiconductors, and digital simulation.

  • Credits: 3.0
  • Lec-Rec-Lab: (3-0-0)
  • Semesters Offered: Fall - Offered alternate years beginning with the 2012-2013 academic year
  • Restrictions: Must be enrolled in one of the following Level(s): Graduate
  • Pre-Requisite(s): EE 4227

The minimum completion time is two semesters.

Here is a typical schedule for a three-semester sequence.

Fall Spring
MEEM/EE 5715 MEEM/EE 6702
Fall  
EE 5500  

Interested in taking a single, online course? Enroll as a non-degree seeking student.

Upon completion of the Certificate the student should be able to:

  1. Mathematically model and analyze complex dynamic processes.
  2. Apply feedback control laws that are capable of stabilizing the system and achieving performance goals.

Michigan Tech was founded in 1885.

The University is accredited by the Higher Learning Commission and widely respected by fast-paced industries, including automotive development, infrastructure, manufacturing, and aerospace. Michigan Tech graduates deliver on rapid innovation and front-line research, leaning into any challenge with confidence.

The College of Engineering fosters excellence in education and research.

We set out as the Michigan Mining School in 1885 to train mining engineers to better operate copper mines. Today, more than 60 percent of Michigan Tech students are enrolled in our 17 undergraduate and 29 graduate engineering programs across nine departments. Our students and curriculum embrace the spirit of hard work and fortitude our founders once had. Our online graduate courses are the same, robust classes taken by our doctorate and masters candidates, taught directly by highly regarded faculty, with outstanding support from staff. We invite working professionals to join these courses, bring their own experience and challenges as part of the discussion. Leverage the national reputation of Michigan Tech to advance your career in tech leadership.

Meet the online certified instructors.

Students have the flexibility to review class recordings later.

Jeffrey Burl

Jeffrey Burl

Associate Professor, Electrical and Computer Engineering

Teaching Statement

Dr. Burl teaches courses in control systems, digital and non-linear control, and probability and stochastic processes.

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Gordon Parker

Gordon Parker

John and Cathi Drake Endowed Chair in Mechanical Engineering

Teaching Statement

Dr. Parker teaches courses in dynamic systems, control, robotics, and mechatronics, as well as linear and nonlinear system theory.

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Michael Roggemann

Michael Roggemann

Professor, Electrical and Computer Engineering

Teaching Statement

Dr. Roggemann teaches on sensing and processing in robotics, digital image processing, Fourier optics, and algorithms and optimizations.

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Timothy Schulz

Timothy Schulz

University Professor, Electrical and Computer Engineering

Teaching Statement

Dr. Schulz teaches courses in detection and estimation theory, math and computational methods in engineering, and electric circuits.

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Wayne Weaver

Wayne Weaver

Associate Professor, Mechanical Engineering-Engineering Mechanics

Teaching Statement

Dr. Weaver teaches on propulsion systems for hybrid electric vehicles and linear systems theory and design.

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