TOMLAB /PROPT Manual
Contents
1 PROPT Guide Overview
2 Introduction to PROPT
3 Modeling optimal control problems
4 Multi-phase optimal control
5 Scaling of optimal control problems
6 Setting solver and options
7 Solving optimal control problems
8 | | OPTIMAL CONTROL EXAMPLES | |
9 A Linear Problem with Bang Bang Control
10 Batch Fermentor
11 Batch Production
12 Batch Reactor Problem
13 The Brachistochrone Problem
14 The Brachistochrone Problem (DAE formulation)
15 Bridge Crane System
16 Bryson-Denham Problem
17 Bryson-Denham Problem (Detailed)
18 Bryson-Denham Problem (Short version)
19 Bryson-Denham Two Phase Problem
20 Bryson Maxrange
21 Catalyst Mixing
22 Catalytic Cracking of Gas Oil
23 Flow in a Channel
24 Coloumb Friction 1
25 Coloumb Friction 2
26 Continuous State Constraint Problem
27 Curve Area Maximization
28 Denbigh’s System of Reactions
29 Dielectrophoresis Particle Control
30 Disturbance Control
31 Drug Displacement Problem
32 Optimal Drug Scheduling for Cancer Chemotherapy
33 Euler Buckling Problem
34 Flight Path Tracking
35 Free Floating Robot
36 Fuller Phenomenon
37 Genetic 1
38 Genetic 2
39 Global Dynamic System
40 Goddard Rocket, Maximum Ascent
41 Grusins Metric
42 Hang Glider Control
43 Hanging Chain
44 High Dimensional Control
45 Hyper Sensitive Optimal Control
46 Initial Value Problem
47 Isometrization of alpha pinene
48 Lee-Ramirez Bioreactor
49 Linear Tangent Steering Problem
50 Linear Gas Absorber
51 Linear Pendulum
52 Linear Problem with Bang Bang Control
53 LQR Problem
54 Marine Population Dynamics
55 Methanol to Hydrocarbons
56 Missile Intercept
57 Moonlander Example
58 Nagurka Problem
59 Nishida problem
60 Nondifferentiable system
61 Nonlinear CSTR
62 Obstacle Avoidance
63 Oil Shale Pyrolysis
64 One Dimensional Rocket Ascent
65 Parallel Reactions in Tubular Reactor
66 Parameter Estimation Problem
67 Park-Ramirez bioreactor
68 Path Tracking Robot
69 Path Tracking Robot (Two-Phase)
70 Pendulum Gravity Estimation
71 Plug-Flow Tubular Reactor
72 Quadratic constraint problem
73 Quadruple Integral
74 Rayleigh Unconstrained
75 Rigid Body Rotation
76 Robot Arm Movement
77 Time-optimal Trajectories for Robot Manipulators
78 Satellite Control
79 Second Order System
80 Simple Bang Bang Problem
81 Singular Arc Problem
82 Singular CSTR
83 Singular Control 1
84 Singular Control 2
85 Singular Control 3
86 Singular Control 4
87 Singular Control 5
88 Singular Control 6
89 Spring Mass Damper (2 Degree Freedom)
90 Stirred Tank
91 A Simple Terminal Constraint Problem
92 Time Delay 1
93 Time Delay 1 (Approximate)
94 Time Delay 2
95 Time Delay 2 (Approximate)
96 Transfer Min Swing
97 Tubular Reactor
98 Turbo Generator
99 Two-Link Robotic Arm
100 Two-Phase Schwartz
101 Two Stage CSTR
102 Van der Pol Oscillator
References
Notes

TOMLAB /PROPT Manual

Marcus M. Edvall¹ and Per Rutquist².

1: Tomlab Optimization Inc., 1260 SE Bishop Blvd Ste E, Pullman, WA, USA.
2: Tomlab Optimization AB, Västerås Technology Park, Trefasgatan 4, SE-721 30 Västerås, Sweden.

Nov 19th, 2008

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TOMLAB /PROPT Manual

Marcus M. Edvall1 and Per Rutquist2.

Marcus M. Edvall¹ and Per Rutquist².