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  • 8:38 PM, Friday, 22 Oct 2021

Course Postgraduate
Semester Electives
Subject Code AE817
Subject Title Optimal Control Theory


Problem formulation – Performance measures – Selection of performance measures – Dynam-ics programming – Optimal control law – Application to a routing problem – Recurrence relations– Computational procedures – Alternative approach through Hamiltonial-Jacobi-Bellman equa-tion – Review of Calculus of Variations: Functionals involving several independent functions –Constrained minimization of functional – Optimal control: Variational approach – Necessary con-dition for optimal control – Pontryagin’s minimum principle – Additional necessary conditions –Minimum time problems – Optimal control switches (bangbang control) – Numerical techniquesfor the solution of optimal control problem – Two point boundary value problem

Text Books

Same as Reference


1. Kirk, D. E.,Optimal Control Theory: An Introduction, Dover (1998).

2. Bryson Jr., A. E. and Ho, Y.-C.,Applied Optimal Control: Optimization, Estimation, andControl, Taylor & Francis (1975).

3. Subchan, S. and Zbikowski, R.,Computational Optimal Control: Tools and Practice, Wiley(2009).

4. Naidu, D. S.,Optimal Control Systems, CRC Press (2002)