Multivariable Control System Design

ME67500

Credit Hours:

3

Learning Objective:

This course is designed to provide a graduate level introductory treatment of the theory and design of multivariable linear time-invariant (LTI) control systems. The course provides students necessary background needed to understand and to apply the modern H-infinity control theory and mu-synthesis based robust control design techniques. The latest MATLAB robust control toolbox will be introduced and used to design controllers for specific applications.

Description:

The course provides students necessary background needed to understand and to apply the modern H-infinity control theory and mu-synthesis based robust control design techniques. The latest MATLAB robust control toolbox will be introduced and used to design controllers for specific applications.
SP2016 Syllabus.

Topics Covered:

The state-space form and the transfer function matrix representation of multiple-input-multiple-output (MIMO) linear time-invariant (LTI) systems. Co-prime factorization and matrix fraction descriptions (MFD). Irreducible right and left MFDs and minimal state-space realizations. Output feedback stabilization and all stabilizing LTI controller parameterization. Performance specifications. H-infinity problem formulation and synthesis. Robust stability. Introduction to linear fractional transformations (LFT) and u-tools for robust stability. Balanced realization and model reduction.

Prerequisites:

Graduate level introductory control course (ME575 or AAE564 or EE602).

Applied / Theory:

50 / 50

Web Address:

https://mycourses.purdue.edu

Web Content:

Syllabus, Homework Assignments, Solutions, Chat Room, and Message Board.

Homework:

Homework will be assigned regularly (60%).

Projects:

Topics of the project are flexible and could be anything related to the materials covered in the course; examples like the application of robust control techniques to a particular system in your job or research,???. The project report should follow a journal paper format and will be graded based on innovations, theoretical soundness, completeness, practicality, and knowledge of the subject covered.(40%).

Exams:

No exams.

Textbooks:

Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Required--None.

Computer Requirements:

ProEd minimum computer requirements and MATLAB for some homework assignments.

Other Requirements:

None.

ProEd Minimum Requirements:

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Tuition & Fees:

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