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System Dynamics and Controls
Outline of Notes and Laplace Transform Table
Laplace Transform Table
Outline of notes
MATLAB Files
Equation Sheet
System Modeling
1.1 Laplace Transforms and Example 1 (10:47)
1.2 Laplace Tables and Example 2 (10:58)
1.3 Shifting Property and Example 3 (5:38)
1.4 Differentiation Theorem of Laplace Transforms (5:36)
1.5 Example 4 and Integration Theorem of Laplace Transforms (7:45)
1.6 Example 5 (6:02)
1.7 Example 6 (5:19)
1.8 Example 7 (4:51)
1.9 Solving Linear Differential Equations (3:26)
1.10 Example 8 (8:02)
1.11 Example 9 (10:10)
1.12 Example 10 (11:49)
Homework 1
Homework 1 Solutions
MATLAB 1 - residue function (14:42)
MATLAB 2 - ilaplace function (9:07)
1.13 Mechanical Systems and Particles (7:49)
1.14 Rigid Bodies (7:09)
1.15 Example 11 (16:45)
1.16 Rigid Bodies Continued (4:47)
1.17 Example 12 (14:47)
1.18 Springs (5:57)
1.19 Friction Elements (10:36)
1.20 Mechanical Input and FBDs (5:30)
1.21 Example 13 (10:59)
1.22 Example 14 (4:54)
1.23 Example 15 (13:28)
1.24 Example 16 (11:32)
1.25 Example 17 (8:09)
1.26 Example18 (16:56)
1.27 Small Angle Approximation and Example 18.2 (4:27)
1.28 Example 19 (17:37)
1.29 Transfer Functions (10:26)
1.30 Example 20 (16:07)
1.31 Example 21 (14:14)
Homework 2
Homework 2 Solutions
1.32 Impedence Method (9:28)
1.33 Example 22 (12:28)
1.34 Example 23 (24:41)
1.35 Transfer Functions for Multiple Inputs and Outputs (15:50)
Homework 3
Homework 3 Solutions
State Space Representation
2.1 State Space Representation (17:46)
2.2 Example 24 (10:34)
2.3 Example 25 (8:35)
2.4 Example 26 (11:18)
Homework 4
Homework 4 Solutions
MATLAB 3 State Space Numerical Integration (14:06)
MATLAB 4 Example 27 (8:12)
MATLAB 5 Example 26 (5:36)
2.5 Transfer Function to State Space (6:50)
2.6 Example 28 (7:48)
2.7 State Space to Transfer Function (7:30)
2.8 Example 29 (6:33)
Homework 5
Homework 5 Solutions
Time Response
3.1 Poles and Zeros (8:03)
3.2 Example 30 (16:13)
3.3 Input Response Types (13:57)
MATLAB 6 Impulse, Step, Ramp Response (10:29)
3.4 First Order Systems (4:49)
3.5 Free and Impulsive First Order Response (11:05)
3.6 Step First Order Response (12:03)
3.7 Example 31 (12:53)
MATLAB 7 Example 31 (4:21)
3.8 Ramp Response First Order Systems (3:43)
3.9 Example 32 (6:58)
MATLAB 8 Examples 33 and 32 (5:57)
3.10 Undamped Second Order System (16:33)
3.11 Second Order Systems with Damping (15:53)
3.12 Underdamped Second Order System (9:38)
3.13 Overdamped and Critically Damped Second Order Systems (10:32)
3.14 Example 34 (8:07)
Homework 6
Homework 6 Solutions
3.15 Percent Overshoot, Peak, Settling, and Rise Times for Second Order System (16:22)
3.16 How Pole Location Affects Settling and Peak Times and Overshoot (15:31)
3.17 Example 35 (5:05)
3.18 Example 36 (18:13)
MATLAB 9 Example 36 (3:08)
Homework 7
Homework 7 Solutions
Block Diagrams
4.1 Block Diagram Overview with Cascade and Parallel Forms (21:14)
4.2 Feedback Form (13:47)
4.3 Equivalent Diagrams (7:58)
4.4 Example 37 (4:29)
4.5 Example 38 (7:29)
4.6 Example 39 (11:35)
Homework 8
Homework 8 Solutions
Stability and Routh's Criterion
5.1 Stability Analysis and Example 40 (13:35)
5.2 Routh's Criterion (13:36)
5.3 Example 41 (5:01)
5.4xample 42 (6:22)
5.5 Routh Array Special Case1 and Example 43 (14:09)
5.6 Routh Array Special Case 2 (9:13)
5.7 Example 44 (6:57)
5.8 Routh Array Special Case 2 Symmetric Roots (5:39)
5.9 Example 45 (9:41)
5.10 Example 46 (13:30)
5.11 Example 47 (4:01)
5.12 Stability in State Space and Example 48 (10:46)
Homework 9
Homework 9 Solutions
Root Locus
6.1 Root Locus Introduction (25:27)
6.2 Example 49 (7:06)
6.3 Example 50 (4:50)
6.4 Example 51 and 52 (10:53)
6.5 Examples 53 and 54 (10:08)
MATLAB 10 Root Locus Examples (4:29)
Homework 10
Homework 10 Solutions
Steady State Error
7.1 Steady State Error Test Inputs (10:01)
7.2 Steady State Error Equation with T(s) (9:59)
7.3 Steady State Error Equation with G(s) (5:21)
7.4 Steady State Error with Step Inputs (11:06)
7.5 Steady State Error with Ramp Inputs (11:09)
7.6 Steady State Error with Parabolic Inputs (8:01)
7.7 Example 55 (11:15)
7.8 Static Error Constants and System Types (11:15)
7.9 Example 56 (9:49)
Homework 11
Homework 11 Solutions
Modeling Electrical Circuits
8.1 Intro to Circuits (11:31)
8.2 Kirchoff's Laws (7:06)
8.3 Example 57 (11:57)
8.4 Series and Parallel Circuits (11:28)
8.5 Example 58 (5:53)
8.6 Circuit Impedence and Example 59 (11:22)
8.7 Example 60 (7:27)
8.8 Example 61 (11:32)
Homework 12
Homework 12 Solutions
6.2 Example 49
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