0124450 Fall, 2008 this course will be instructed by Dr. H. Gorgun

Introduction to Multivariable Control Systems (Elective Course for EE, Control branch)

Literature: Modern Control Theory, 3th Edt., W. Brogan, Prentice-Hall.

Literature: Fundamentals of Linear State Space Systems, J.S. Bay, Mc-Graw Hill, 1999.

2 Midterm Exams (30%+30%)+ 1 Final Exam (40%)

 

Aim of the course : The course is intended to be a comprehensive treatment of the use of introductory level linear state space system theory in engineering problems. It is targeted at seniors of control branch although much of the material will be accessible to students with only basic signals and systems principles. The lecture uses the more natural and meaningful foundation of vector spaces and linear algebra. It is again inescapable that computer-aided engineering is an integral component of the lecture. Hence, the students are strongly encouraged to use MATLAB/SIMULINK in order to clarify the meaning of the material.

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Lecture 1 (Mathematical Modeling of Dynamical Systems, State-equation representation ) 1w

Lecture 2 (Mathematical Foundation) 2w

Lecture 3 (Transfer functions, Solution of state-equations, Computation of State-Transition Matrix) 1w

Lecture 4 (Similarity Transformations, Eigenvalues and Eigenvectors, System modes, Realization) 1w

Lecture 5 (Transmission zeros, Jordan Canonical Form) 2w

Lecture 6 (Cayley-Hamilton Theorem and its applications) 1w

Lecture 7 (Controllability, Observability, PBH tests, Introduction to State-feedback, Output-feedback) 1w

Lecture 8 (State feedback control (Single-input, Multi-input cases)) 1w

Lecture 9 (Observers, Full-Order Observer, Reduced-Order Observer Design, Obsever based control) 2w

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