Control Systems—Graduate Certificate | College of Engineering

Online Education for Working Professionals

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors.

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.

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How to Apply

3 courses in 3 semesters.

Department	Mechanical and Aerospace Engineering Electrical and Computer Engineering
Admissions requirement	Acceptance to the Graduate School.
Contact	Wayne Weaver 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

Curriculum

Progress quickly with a compact curriculum. Work with the program advisor to select courses that fit your interests and pre-requisite skills.

Prerequisites

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

ME 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): Mechanical Engineering, Mechatronics, Aerospace Engineering
Pre-Requisite(s): (MEEM 2700 or ME 2700) and (MA 3520 or MA 3521 or MA 3530 or MA 3560)

ME 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, Mechanical Engineering, Robotics Engineering
Pre-Requisite(s): MEEM 3750 or EE 3160 or ME 3750

Required Courses

Take a 3-credit required course. Take one of the following.

ME 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 Eng-Eng Mechanics, Mechanical Engineering
Pre-Requisite(s): MEEM 3750 or ME 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 or ME 3750

Electives

Take 6 credits of elective courses. Do not take both ME 5812 and EE 5812. Do not take both ME 6702 and EE 6702.

Check online offerings to see when courses are available.

ME 4775 - Analysis & Design of Feedback Control 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, Mechanical Engineering, Robotics Engineering
Pre-Requisite(s): MEEM 3750 or EE 3160 or ME 3750

ME 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 Engineering, Mechanical Eng-Eng Mechanics, Vehicle Dynamics

ME 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 Eng-Eng Mechanics, Mechanical Engineering
Pre-Requisite(s): MEEM 4775 or ME 4775

EE 5812 - Automotive Control Systems

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 or ME 4775

ME 6702 - Nonlinear Systems Analysis & 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 or ME 5715

EE 6702 - Nonlinear System Analysis and 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 or ME 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

Typical Schedule

The minimum completion time is two semesters. Here is a typical schedule for a three-semester sequence.

Fall	Spring
ME/EE 5715	ME/EE 6702
Fall
EE 5500

Application Process and Admissions Requirements

Applications are reviewed on an individual basis using a holistic approach. Fill out our free graduate application online to apply to any of our programs. Official transcripts and scores are not required for the initial application, although you will need to upload them later.

Graduate School Admissions Process

Applying to the Graduate School is free (no application fees) and fast (no official transcripts, test scores, or letters needed to start). The application process involves three easy steps.

See Admissions Steps

Graduate School Requirements

To be considered for admission to the Graduate School as a degree- or certificate-seeking student, you need to:

have a bachelor's degree or its equivalent from an accredited institution, and
be prepared for advanced study in your chosen field, as demonstrated by your previous degree and your scholastic record.

See additional application requirements, including required materials:

Official Transcripts

Program Specific Requirements

Program Specific

Admitted applicants typically have an undergraduate GPA of 3.0 or better on a 4.0 scale
GMAT/GRE: Not required
Preferred major: Any Engineering Discipline

International Students

TOEFL: Recommended Score of 79 iBT
IELTS: Recommended Overall Band Score of 6.5

Admissions Decisions

Made on a rolling basis.

Certificate Admissions

Prospective Students

Prospective students and non-degree seeking students interested in obtaining a graduate certificate must apply to the certificate program using the online application.
Accelerated certificate options exist for current Michigan Tech undergraduate students in good standing and have achieved at least junior-level standing or recent bachelor’s graduates of Michigan Tech (less than two years).
The number of credits earned prior to admission that can be counted are restricted.

Current Graduate Students

Current Michigan Tech graduate students who are in a degree program do not need to formally apply. Current students must still submit the appropriate degree schedule in order to complete the certificate.

International Student Requirements

International Students must apply and be accepted into a degree-granting program in order to earn a graduate certificate. A non-refundable $10 processing fee per application is required.

See International Applicants

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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