Optimization: MATLAB fmincon

Hi! This video goes over the function fmincon in MATLAB. fmincon takes an objective function, constraints, bounds, etc. in order to minimize an objective function. We use this to determine the best geometries, materials, etc. for our designs.

00:00 - 01:23 Introduction
01:23 - 04:07 Calculus Example
04:07 - 07:01 Selecting Objective Function, Constraints, etc.
07:01 - 10:05 Mathematical Solution
10:05 - 10:52 Engineering Applications
10:52 - 15:15 What is fmincon doing?
15:15 - 16:15 9 Total Inputs
16:15 - 21:50 Inputs 1 and 2 (Obj and x0)
21:50 - 28:09 Create Objective Function
28:09 - 36:15 Inputs 3 to 6 (Linear Constraints)
36:15 - 39:20 Inputs 7 and 8 (Bounds)
39:20 - 51:53 Coding Calculus Example
51:53 - 56:25 Diving Board Example
56:25 - 57:30 Define Design Variables
57:30 - 59:00 Define Objective Function
59:00 - 1:00:07 Define Bounds
1:00:07 - 1:02:27 Define Constraints
1:02:27 - 1:03:52 Coding Initial Guesses
1:03:52 - 1:04:27 Coding Linear Constraints
1:04:27 - 1:05:28 Coding Bounds
1:05:28 - 1:07:01 Coding fmincon line
1:07:01 - 1:09:18 Coding Objective Function
1:09:18 - 1:18:17 Input 9 (Nonlinear Constraint)
1:18:17 - 1:24:13 In MATLAB
1:24:13 - 1:30:20 Do results make sense?