lecture16: non-integral constraints and intro to optimal control
Topics covered
- Non-integral constraints
- Holonomic constraints
- Why does it work
- Holonomic constraints
- Multiple dependent variables
- General geodesic problem
- Example: Geodesics on the sphere
- Misc
- Non-holonomic constraints
- Example
- Some intuition
- Newton's aerodynamical problem
- Systems
- Solution Philosophy
- CoV for Optimal Control
- Formulation of control problems
- Optimal control problems
- Example: stimulated plant growth
- Plant growth problem statement
- Plant growth: Lagrange multiplier
- Plant growth: E-L equations
- Plant growth solution
- Optimal Control
%
- PMP Example: Gout