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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.

ProEd Minimum Requirements: view

Tuition & Fees: view

Other Requirements:
None.

SEMESTERS

Spring 2020

CURRENT INSTRUCTOR(S)

Bin Yao

Phone
765-494-7746

Email
byao@purdue.edu

Office
Purdue University
Mechanical Engineering Bldg
585 Purdue Mall
West Lafayette, IN 47907-2040

Fax
765-494-0539

Instructor HomePage