Formulation of optimal control problem: Minimum time, minimum energy, minimum fuel problem, state regulator, output regulator &
tracking problems.
Calculus of variations: Constrained fixed point and variable point problems, Euler Lagrange equations.
Problems with equality and inequality constraints. Engineering application, Lagrange, Mayer & Bolza problems, pontryagins
Maximum (minimum) principle.
Multiple decision process in discrete and continuous time - The dynamic programming.
Numerical solution of two point boundary value problems - the steepest descent method and the Fletcher - Powell Method.
Books:
1. Athems M & Falb P. L.: Optimal Control; McGraw Hill
2. Tau J.: Modern Control Theory; McGraw Hill
3. Goodwin, Control System Design, Pearson Education/PHI
4. Anderson & Moore, Optimal Control, PHI
5. Glad, Control Theory, Vikas
6. Hestenas M C: Calculus of Variations and Optimal Control. Theory; Wiley.
7. Boltyanskii V G; Gamkrelidge R V; Pontryagin L S; On the theory of Optimal process
8. Bellman R E and Kolaba R E: Dynamic Programming and Modern Control Theory; Academic Press.