Multivariable Control System Design
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.
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 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%).
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.