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.
| 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. |
Apply
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, Robotics Engineering, Mechatronics, Engineering Mechanics, Mechanical Engineering
- Pre-Requisite(s): MEEM 3750 or EE 3160
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.
Check online offerings to see when courses are 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, Robotics Engineering, Mechatronics, Engineering Mechanics, Mechanical Engineering
- Pre-Requisite(s): MEEM 3750 or EE 3160
MEEM 5730 - Dynamic System Simulation
Methods for simulating dynamic systems described by ordinary differential equations using numerical integration are developed including error quantification and simulation verification. MATLAB, Simulink and Simscape are used to illustrate key concepts.
- 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 Eng-Eng Mechanics, Mechanical Engineering, Vehicle Dynamics, Engineering Mechanics
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 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 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, in even years
- 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 |
|
- Check the schedule of online classes to see which of your required or elective courses are available for upcoming semesters.
- Consult the academic calendar for fall and spring instruction start dates.
- Estimate costs based on tuition and online fees.
- Apply to the Graduate School for fall or spring semester.
- Review MTU Flex announcements related to the Graduate School.
- Check the schedule of classes to see which of your required or elective courses are available for upcoming semesters.
- Consult the academic calendar for fall and spring instruction start dates.
- Estimate costs based on tuition.
- Apply to the Graduate School for fall or spring semester.
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:
- Mathematically model and analyze complex dynamic processes.
- Apply feedback control laws that are capable of stabilizing the system and achieving
performance goals.
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The University is accredited by the Higher Learning Commission and widely respected
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and aerospace. Michigan Tech graduates deliver on rapid innovation and front-line
research, leaning into any challenge with confidence.
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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
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Meet the online certified instructors.
Students have the flexibility to review class recordings later.
Teaching Statement
Dr. Burl teaches courses in control systems, digital and non-linear control, and probability and stochastic processes.
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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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Teaching Statement
Dr. Roggemann teaches on sensing and processing in robotics, digital image processing, Fourier optics, and algorithms and optimizations.
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Teaching Statement
Dr. Schulz teaches courses in detection and estimation theory, math and computational methods in engineering, and electric circuits.
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Teaching Statement
Dr. Weaver teaches on propulsion systems for hybrid electric vehicles and linear systems theory and design.
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