lecture23: optimal control example: rocket launch profile

Topics covered

• Example: launching a rocket
• Constraint equations
• 1st consider ballistic component
• Example: co-ordinate transform
• Example: optimization functional
• Example: Euler-Lagrange equations
• Example: solving the E-L equations
• Example: solution
• Example: end-point conditions
• Example: natural boundary conditions
• Example: acceleration profile
• Example: calculating the constants
• Example: restricting choice of $\theta_0$
• Example: parameters
• Example: trajectory
• Example: generalizations