AME427: Stability and Control of Aerospace Vehicles
SCOPE: Static and dynamic stability of rigid and non-rigid vehicles; automatic control of aircraft, missiles and spacecraft.
COURSE OBJECTIVES: By the end of this course, the student should be able to
- Manipulate vectors and rotation matrices in different coordinate systems and attitude representations.
- Formulate a mathematical model of the dynamics of a rigid body.
- Formulate nonlinear and linearized mathematical models of aircrafts.
- Analyze the stability of an aircraft.
- Express aircraft model in state-space form.
- Develop a computer model using MATLAB for aircraft simulation.
- Describe the basic principles in aircraft feedback control.
CLASS MATERIAL: The course will closely follow notes by the instructor and chapters 1 and 2 of the textbook “Aircraft Control and Simulation” by Brian L. Stevens and Frank L. Lewis, Second Edition, Wiley, 2003. Class notes will also include material from other textbooks and be integral part of instruction.
PREREQUISITES and COMPUTER SKILLS: AME 320, AME321, Matlab.
EMAIL: My email will be the preferred way to communicate. Please check your email frequently for announcements. An immediate response is not guaranteed, but you should expect to get one within 24hs when your email arrives to the instructor’s email inbox Monday to Friday before class time.
HOMEWORK: Homework will be assigned on Wednesday right after class and will bedue in class Friday of the following week (~1.3 week work time). Homework assignments and corresponding solutions will be available at D2L within a week of their due date. Tentative schedule:
Extra homework may be assigned if needed.
EXAMS: There will be one written midterm exam and one written final comprehensive exam. There will be no make-ups for any exam. If you are unable to take a scheduled exam due to health reasons, you must notify the Instructor prior to the beginning of the exam. If you will be absent due to a death (or life-threatening illness) in your family, similar advance notification and subsequent documentation will be required. Students absent from exams for one of the above reasons will be assigned a grade reflecting performance on another examination. Students missing exams under conditions not discussed above will normally be awarded a zero. Tentative schedule:
Exams will be closed book and notes.
FINAL PROJECT: A project incorporating material covered in the course is required. The project is to be proposed by a team of 3-5 students and should consist of symbolic, simulation, or experimental analysis/design. Project topics will be proposed during the lectures. The teams are encouraged to propose a topic of their own interest on the subject. Tentative schedule:
If you already have project ideas, please contact me.
NEW PROJECT for FALL 2011: Modeling and Control the Pan/Tilt Motion Control System with Wind Turbine
This purpose of this project is to develop a rigid body model of the fully actuated pan/tilt device shown in Figure 1 and to study the aerodynamic forces upon a small wind turbine attached to its moving arm. To derive the rigid model, a 6 DOF model tailored to the Pan/Tilt Motion Control System is to be developed. The aerodynamic model is to be obtained using basic aerodynamic principles and CFD tools. A practical use of the results consist of distributed wind farms in which the Pan/Tilt Motion Control System will efficiently capture energy from the wind by autonomously adjusting the angle of the Pan/Tilt Motion Control System according to the wind direction and strength. Slides introducing the Pan/Tilt Motion Control System are available here.
Student reports are available upon request.
The development of the Pan/Tilt Motion Control System and related curriculum material has been funded by Mathworks.
Pan/Tilt Motion Control System website:
GRADING: The course grades will be posted at d2l and determined using the following percentages:
(10% oral presentations, 15% written reports)
The “break points” dividing letter grades will be determined by the Instructor at the end of the semester, based on the overall performance of the class and other relevant factors. Class participation will be taken into consideration when determining boundary cases.
Grading exam papers is a difficult task, and errors or misjudgments occasionally occur. Any student who feels that his or her paper has not been graded properly may request that the paper be re-graded. However, all such requests must be made to the TA no later than one week after the assignment has been returned. The complete paper will be reexamined, and the student’s grade may change in either direction.
L2: Properties of vectors (notes and §1.1, §1.2)
|L3: Derivative of a vector (notes and §1.3)
L4: Quaternions (notes and §1.3)
|08/29: HW1 posted|
|L5: Matrix analysis of kinematics (notes and §1.3)
L6: Rotations (notes and §1.3)
|09/07: HW1 due|
|L7: Rotations (notes and §1.3)
L8: Coordinate systems (notes and §1.4)
|09/12: HW2 posted|
|L9: Coordinate systems (notes and §1.4)
L10: Rigid body dynamics (notes and §1.5)
|09/21: HW2 due|
|L11: Rigid body dynamics (notes and §1.5)
L12: Rigid body dynamics (notes and §1.5)
|09/26: HW3 posted|
|L13: Project ideas
L14: Modeling of various vehicles
|10/05: HW3 due|
|L15: Modeling of various vehicles
10/12: Midterm Review
|10/12: Midterm Review|
|10/17: Midterm Exam
10/19: Project Proposal Due and Presentations
|10/19: Proj. Prop. due and Presentations|
|L16: Modeling of various vehicles
L17: Stability analysis (notes)
|10/24: HW4 posted|
|L18: Stability analysis (notes)
L19: Stability analysis (notes)
|11/04: HW4 due|
|L20: Static analysis (notes)
11/09: Project Progress Report Due and Present
|11/07: HW5 posted
11/09: Prog. Report due
|L21: Linearization and feedback control introd. (notes)
L22: Linearization and feedback control introd. (notes)
|11/16: HW5 due|
|L23: Linearization and feedback control introd. (notes)
11/23: Thanksgiving break
|Project Report Oral Presentations (all week)|
|12/03: Final Review|
|12/12/12: Final Exam
12/14: Final Report due