Systems & Controls

Signal & Feedback Systems
Control of Nonlinear Dynamical Systems
Optimization
Geometric & Analytical Mechanics
Differential Geometric Method in Controls
Mathematical Structures of Control
High Energy Physics & Systems
Estimation on Lie Groups
Optimization for High-Dimensional Learning
Optimal Control Systems
Nonlinear Dynamics

Mathematics

Linear Algebra
Differential Equations
Calculus I
Calculus II
Differential Equation II
Numerical Analysis
Real Analysis

Measure Theory

Multivariable Calculus
Partial Differential Equations

Lie Groups & Lie Algebras

Aerospace Engineering

Introduction to Flight Mechanics
Thermodynamics and Propulsion
Incompressible Fluid Mechanics
Solid Mechanics
Aircraft Propulsion
Compressible Fluid Mechanics
Aerospace Structural Mechanics
Spaceflight Mechanics
Aerospace Measurements Laboratory
Control Theory
Aircraft Structures Laboratory
Vibrations and Structural Dynamics
Aerospace Propulsion
Aerodynamics
Flight Mechanics II
Aerodynamics Laboratory
Aircraft Propulsion Laboratory
Aircraft Design
Modelling and Simulation
Navigation and Guidance
Control Systems Laboratory

Courses Undertaken

Course Projects

Invariant Manifolds Driven Space Mission Design

Nonlinear Dynamics

Analyzed the dynamics near equilibrium points in the three-body problem, focusing on their properties in the eigenspace
Analised the stability of satellites around the Lyapunov orbits of the Lagrange point of the planar Earth-Moon system
Conducted simulations of the manifold comprising trajectories that approach and depart from the halo orbit around L1
Using the application of the patched three-body problem and the identification of the intersection between wind-off and wind-on manifolds, a trajectory with low fuel requirements was discovered from Earth-Moon L1 to Earth-Sun L2

Dynamic Modelling & Motion Control of a Quadruped

Analytical & Geometric Mechanics

Modeled the Qaudrued with a flexible spine and flexible upper leg in SimScape.
Controlled the Quadruped motion with suitable impulsive torque inputs in the joints.
Analyzed the numerical stability of the simulation with adaptive time stepping.

Discrete-Mechanics & Attitude Estimation for Unknown Systems

Estimation on Lie Group

Utilized discrete variational mechanics to derive the dynamics of the filter system, wherein the Lagrangian is structured by incorporating error-driven kinetic energy and Wahba's weighted cost as potential energy
Applied discrete Lyapunov stability analysis to derive and validate the filter system's stability through simulations

Optimal Disturbance Rejection Control of Hyperbolic PDEs

Differential Geometric Method in Control

Derived the discrete-time beam dynamics using discrete variational lagrangian.
Analyzed the numerical stability of the discrete dynamics using the Von-Neumann Stability Criterion.
Using the interior point method solved the discrete-time optimal disturbance rejection control problem.