GPOPS-II example
Brachistochrone Problem
The brachistochrone optimal control problem is stated as follows.
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3 figures
Problem library
Examples
Representative GPOPS-II optimal control examples with dedicated MathJax problem statement pages.
Problem Statements
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GPOPS-II example
Bryson-Denham Problem
The Bryson-Denham state-constrained double integrator problem optimal control problem is stated as follows.
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3 figures
GPOPS-II example
Dynamic Soaring Problem
The dynamic soaring optimal control problem is stated as follows.
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6 figures
GPOPS-II example
Free Flying Robot
The free flying robot optimal control problem is stated as follows.
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8 figures
GPOPS-II example
Goddard Rocket Problem
The Goddard rocket maximum altitude optimal control problem is stated as follows.
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4 figures
GPOPS-II example
Maximum Range of a Hang Glider
The maximum range of a hang glider optimal control problem is stated as follows.
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5 figures
GPOPS-II example
Hyper-Sensitive Problem
The hyper-sensitive optimal control problem is stated as follows.
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6 figures
GPOPS-II example
Kinetic Batch Reactor Problem
The kinetic batch reactor optimal control problem is stated as follows.
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22 figures
GPOPS-II example
Launch Vehicle Ascent Problem
The multiple-stage launch vehicle ascent optimal control problem is stated as follows.
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4 figures
GPOPS-II example
Low-Thrust Orbit Transfer Problem
The low-thrust orbit transfer optimal control problem is stated as follows.
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10 figures
GPOPS-II example
Minimum Time Supersonic Aircraft Climb
The minimum time-to-climb of a supersonic aircraft optimal control problem is stated as follows.
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5 figures
GPOPS-II example
Moon Lander Problem
The moon lander optimal control problem is stated as follows.
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3 figures
GPOPS-II example
Orbit-Raising Problem
The orbit-raising optimal control problem is stated as follows.
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6 figures
GPOPS-II example
Reusable Launch Vehicle Ascent
The reusable launch vehicle ascent optimal control problem is stated as follows.
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8 figures
GPOPS-II example
Reusable Launch Vehicle Entry
The reusable launch vehicle optimal control problem is stated as follows.
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7 figures
GPOPS-II example
Robot Arm Problem
The reusable launch vehicle optimal control problem is stated as follows.
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9 figures
GPOPS-II example
Space Station Reorientation Problem
The space station attitude reorientation optimal control problem is given as follows.
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12 figures
GPOPS-II example
Two-Strain Tuberculosis Optimal Control Problem
The two-strain tuberculosis optimal control problem is stated as follows.
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8 figures
GPOPS-II example
Tumor Anti-Angiogenesis Problem
The tumor anti-angiogenesis optimal control problem is stated as follows.
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3 figures