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.
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.