Posted solutions to pset 2.

Studies basic continuous control theory as well as representation of functions in the complex frequency domain. Covers generalized functions, unit impulse response, and convolution; and Laplace transform, system (or transfer) function, and the pole diagram. Includes examples from mechanical and electrical engineering.

Dates: Tuesday, January 19 -- Friday, January 29, 2016

Classes: Daily, 1:00 -- 3:00, 4-261

Syllabus and calendar

Information and policies

**Exam:** 1:00, Friday, Jan 29, 2016, 4-261.

Classes: Daily, 1:00 -- 3:00, 4-261

Syllabus and calendar

Information and policies

**Office Hours**

Haynes Miller: Thursday Jan. 21 4:30-6 in 2-478; Monday Jan. 25 3-4:30 in 4-261; Thursday Jan. 28 3-4:30 in 4-261.

Jerry Orloff: Thursday Jan 21 3-4:30 in 4-261; Wednesday Jan. 27 3-4:30 in 4-261.

Class 1: review of LTI systems: constant coefficient ODEs, stability, gain.

Class 2:

(i) frequency response, transfer functions, block diagrams.

(ii) pole diagrams (read sections 1-7)

Classes 3,4: Laplace transform. (read sections 1-14)

Class 5: Step and delta functions.

Class 6: Laplace transform: t-translation rule.

Class 7: Convolution.

Class 2:

(i) frequency response, transfer functions, block diagrams.

(ii) pole diagrams (read sections 1-7)

Classes 3,4: Laplace transform. (read sections 1-14)

Class 5: Step and delta functions.

Class 6: Laplace transform: t-translation rule.

Class 7: Convolution.

Other possibilities

Note on poles and zeros from 2.14

Complex numbers and exponentials

Stability: including the Routh-Hurwitz criteria

Partial fractions decompositions (includes the coverup method)

Stability: including the Routh-Hurwitz criteria

Partial fractions decompositions (includes the coverup method)

The MIT Mathlets are a set of small applets that dynamically illustrate various mathematical concepts. They can all be found at
mathlets.org/mathlets

Here are direct links to some of the applets --MIT mathlets and others-- referenced in 18.031.

Amplitude Phase Second Order I

Amplitude Phase Second Order II

Bode and Nyquist Plots

Amplitude Response: Pole Diagram

Series RLC Circuit

LRC Filters