Here Is a List of Topics to Study for the First Exam

EE 4314 Control Systems

Fall 2013

Midterm – October 10, in-class

The exam will cover: system modeling, basic feedback, and state-space methods. Expect 4 questions, one covering system modeling, one covering basic feedback topics, one covering state-space methods, and one covering general questions to test your understanding of concepts. Bring a 1 double-sided cheat sheet. Any additional tables will be provided to you.

Here is a list of topics to study for the first exam:

1)  Homeworks 1, 2 problems

2)  Math Review:

a.  Derivatives, Integration

b.  Trigonometry

c.  Power series

d.  Complex numbers: phase, magnitude, conversion

e.  Vector spaces, norms, dot product

f.  Matrices (determinant, rank, eigenvalues, eigenvectors), systems of equations (Cramer’s rule)

Reading:

g.  Lecture notes (website)

h.  Appendix chapter, textbook, including examples

i.  Chapter 1, B.W. Dickinson book (on reserve, optional)

3)  Signals/Systems Review

a.  Energy, power, norm, operations

b.  Signal classification, basic types: unit, delta, exponential/

c.  Operations: shift, reversal, scaling, combined

d.  System Linearity: superposition and decomposition

e.  System I/O description, internal states

f.  Zero-input and zero-state responses

Reading:

g.  Review 3317/3318 courses

4)  Course content

a.  Introduction to feedback control systems and brief history

b.  Dynamic Models: examples of circuits, mechanical and mechatronic systems

c.  Block diagrams

d.  Stability

e.  First and second order system response

f.  Basic Properties of Feedback: Sensitivity, Noise, Disturbances, Tracking, Regulation, Steady-State errors and system type.

g.  State-space system description, controllability, observability, canonical forms

h.  Full state feedback, Ackerman’s formula.

Reading:

1)  Lecture notes (website)

2)  Chapters 1-3 Textbook, 4.1, 4.2, 7.1-7.5

3)  Additional reading from Dorf and Bishop Texbook on Library reserve.