Examples

The following examples have already been implemented in ICLOCS2 for you. Use the link below to check the details and feel free to use them as a starting point to formulate your own optimal control problem.

Example Problem Implementation Difficulty Solver Difficulty Dynamics Path Constraints Rate Constraints Boundary Constraints Singular Arc Using Analytic Derivatives Detailed Instructions Additional Function Demo
Bang-bang Control Easy Easy Linear No No No No Yes Yes Flexible hp-adaptive mesh
Double Integrator Tracking Easy Easy Linear No No No No No Yes -
Hypersensitive Control Easy Medium Simple Nonlinear No No No No No Yes Mesh Refinement
Aly Chan Problem Easy Hard Simple Nonlinear No No No Yes No No Residual Minimization
Van der Pal Oscillator Easy Hard Simple Nonlinear No No No Yes No No Residual Minimization
Second Order Singular Control Problem Easy Medium Simple Nonlinear No Yes No Can Mitigate No No "on-mesh" Rate Constraint
Two-link Robot Arm Problem Easy Easy Nonlinear No No No No No Yes -
Cart Pole Swing-Up Problem Easy Easy Nonlinear No No No No Yes No Closed-loop Simulation
Batch Fermentor Reactor Problem Easy Hard Nonlinear No No No Yes Yes Yes -
Control of a Spaceship Problem Intermediate Medium Nonlinear No No No No No No -
Aircraft Minimum Fuel/Time Climb Intermediate Medium Nonlinear No No No No No Yes Look-up Tables/CL Simulation
Goddard Rocket (Single Phase) Intermediate Hard Nonlinear No No No Yes No No Residual Minimization
Orbit Raising Problem Intermediate Medium /Easy Nonlinear Yes No Yes No No/Yes Yes Alternative Formulation
Space Shuttle Reentry Trajectory Hard Medium Nonlinear No No No No No Yes -
Aircraft Go-around in Windshear Hard Medium Nonlinear Yes Yes No Can Mitigate No Yes "on-mesh" Rate Constraint
Vehicle Parallel Parking Problem Hard Hard Nonlinear Yes Yes Yes Yes No Yes Automatic Regularization
Commercial Aircraft Flight Profile Hard Hard Nonlinear Yes Yes Yes No No Yes External Constraint Handling
Low-Thrust Orbit Transfer Problem Hard Hard Nonlinear Yes No Yes No No No -
Bang-bang Control (Multi-Phase) Intermediate Easy Linear No No Yes No No Yes Multi-phase Formulation
Goddard Rocket (Multi-Phase) Hard Medium Nonlinear Yes No Yes No No Yes Singular arc condition