AE 483 Automatic Control Systems II Fall 2014

AE 483 Automatic Control Systems II
Fall 2014
Wednesdays, 9:40-12:30, Room#128
Assoc.Prof.Dr. Ilkay Yavrucuk
Office No: 102
Email: [email protected]
Website: http://www.ae.metu.edu.tr/~ae483/
Course Description:
This course aims to give the fundamentals of control theory and applications beyond classical control. Course
topics are more advanced than those of typical undergraduate level control courses, however they serve as a
transition to more advanced topics in control engineering. Topics in this course include state feedback controller
design, MIMO systems, concepts of observability, controllability, observer design, an introduction to
Lyapunov`s stability analysis, optimal control and LQR controller design. Aerospace systems will be used as
examples throughout the course and in homework and projects. Possibly, lab sessions will provide a medium for
hands-on application. At the end of the course students should be able to tackle the controller design of complex
systems with more confidence.
Text Book:
No real texbook
References:
K.Ogata,”Modern Control Engineering,” 3rd or 4th Edition, Prentice Hall
N.S. Nise,”Control Systems Engineering,” 3rd Edition, Wiley, 2000
R.C.Dorf, “Modern Control Systems,” Prentice Hall, 2004
A.E. Bryson, Y.Ho, “Applied Optimal Control: Optimization, Estimation, and Control,” Hemisphere Pub., 1981
G. Strang, ”Linear Algebra and its Applications,” Brooks, Cole, 1988
R.C.Nelson, “Flight Stability and Automatic Control,” McGrawHill, 2nd Edition, 1997
Course Topics:
1. Introduction and Review
a. Review on Linear Algebra
b. Eigenvalues, Eigenvectors
c. Decomposition, Canonical Forms
2. State Feedback Controller and Observer Design
a. Observability, Controllability
b. State Feedback Controller Design
c. State Observer Design
d. The Integral Controller
e. Model Following Controller
f. Applications in Aerospace Engineering
3. Linear Quadratic Regulator (LQR) Design
a. The Optimal Controller Problem
b. The Optimization Problem
c. Derivation of the Algebraic Riccati Equation
d. LQR Controller Design
e. Applications in Aerospace Engineering
4. Lyapunov Stability Analysis
a. Stability in Nonlinear Systems
b. Lyapunov Stability Proof
Grading (+/-5%): 1 Midterm (12. Nov, 17:45) (30%) , 1 Group Project with Presentation (20%), 1 Final (35%),
~3HWs (%15), Lab Sessions (possibly)
Some homework problems and lab sessions might require the use of computer tools like Matlab or Simulink. It is
essential that you get familiar and know how to use these tools.

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