Direct Methods for Optimal Control
Nakul Randad
Year of Study: 3rd Year
Contact details: 9604240080
Project type: SLP
Motivation to pursue project: To study and understand more about modern control theory.
Summary of Project: https://nakulrandad.github.io/Direct-Methods-for-Optimal-Control/
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Calculus of Variations and Optimal Control Theory
Mridul Agarwal
Year of Study: 4th
Contact details: 8320107734
Project type: SLP.
Motivation to pursue project: After exploring various fields in my first & second years, I finally settled on controls. I had a good practical background on it owing to my work in team UMIC but I needed to expand my theoretical foundation. Professor DC is one of the best professors in the institute when it comes to this. He is extremely knowledgeable and has a very strong theoretical background, hence I chose him for doing my SLP.
Summary of Project: Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in both science and engineering. Optimal control deals with finding a control law for a given system such that a particular optimality criterion is achieved. My project was mainly based on the first four chapters from “Calculus of Variations and Optimal Control Theory - A Concise Introduction” by Daniel Liberzon. We used the theory learnt to solve Zermelo’s river crossing problem.
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