Course Details

Time and Place:

TR 2:00 am to 3:20 pm in NSC 228

Office Hours:

Drop in anytime during my office hours, which are TuTh at 4:00-5:00 pm. Otherwise call to make an appointment, or contact me via e-mail:

Office: 1009 Furnas Hall, Office Tel: 645-2593 x2235.

Description:

This course will review matrix analysis including topics such as Spectral decomposition. Singular Value Decomposition, Cholesky decomposition, Schur decomposition, Eigenvalue/Eigenvector sensitivity. Following this, Lyapunov stability will be reviewed and its application for the analysis and synthesis of controllers will be discussed. The presentation of modeling techniques such as assumed mode methods and finite element methods will precede the presentation of control techniques such as: LQR, and Robust Eignestructure assignment. Finally, the concepts of controllability and observability will be discussed.

Objectives:

Control of structures is a field which has numerous applications including control of lightweight space structures, control of buildings and bridges subject to wind excitation of seismic input, machine tool control, robotics etc. There exists a need to model the dynamics of the structure and design controllers for reorientation and for regulation. The objective of this course is to provide graduate students with tools such as the assumed mode method and the finite element method to model distributed paramter systems. This course also discusses Lyapunov based control besides, LQR, and Eigenstructure assignment controllers. Finally, the course addresse issues such as actuator and sensor location optimization to maximize the controllability and observability of the structure. Undergraduate control and Linear system analysis background or permission of instructor is the prerequisite for this course.

Prerequisites:

SYS571/Permission of Instructor.

Textbook:

Junkins, J. L., and Kim, Y. Introduction to Dynamics and Control of Flexible Structures, AIAA Educational Series, Washington, DC, 1992. There will be occasional handouts to supplement the textbook.

Homework:

Homeworks will be periodically assigned, which are due one week from the day they are assigned. Late homeworks will not be accepted and solutions to the homeworks will be discussed in class.

Project:

The student selects a project topic by the end of the fourth week in consultation with the instructor. The problem could be related to the student's thesis/dissertation topic. A final project report at the end of the term is also required which will include a detailed literature review of controllers available for the problem in question.

References:

Meirovitch L. L., Dynamics and Control of Structures , Wiley
Skelton R. E., Dynamic Systems Control , Wiley, New York, 1988.
AIAA Journal of Guidance, Control and Dynamics
ASME Journal for Dynamic Systems, Measurement and Control
International Journal of Control

Important Dates