Degrees
BSc., in Electrical Engineering (Control Systems)
MSc., in Electrical Engineering (Control Systems and Robotics)
MSc., in Engineering Management (Management and Finance)
PhD., in Control Systems and Robotics (in progress)
My Tutoring Service
I can provide excellent tutoring service in the following fields:
Advanced Numerical Methods and Analysis, Mathematical Optimization and Optimal Control, Operations Research, Business Management and Finance, Linear Control Theory, System Identification, Nonlinear and Robust Control, Soft Computing, MATLAB Programming, Functional Analysis, Differential Equations, Multibody Dynamics, Robotics.
Experience & Qualifications
I am currently working as a PhD researcher and I have gained significant experience in Control Systems and Robotics over the past few years. During my research I was involved in several large-scale projects i.e. formation control of unmanned marine vehicles, multibody modelling, identification and time-optimal control of ground vehicles and passenger cars. I have also been a teaching assistant for Control Systems theory and Artificial Intelligence for undergraduates and graduates and have given several lectures in these subjects over the past years.
I have expert knowledge in the following fields:
Mathematical Optimization and Optimal Control
Mathematical Programming, Linear (LP), Quadratic (QP), Sequential Quadratic (SQP), Nonlinear (NLP), Mixed-Integer Linear and Nonlinear Optimization (MILP, MINLP),
Active-set and Interior Points methods, Branch and Bound algorithm,
Karush-Kuhn-Tucker condition, calculation of Gradients, Jacobians and Hessians, Time optimal solution, Pontryagin Maximum Principle, Bang-bang Control,
Optimal Control, Linear Quadratic Gaussian Control (LQG) for LTI and LTV systems, CARIMA,
Optimal Estimation, Covariance Analysis, Extended (EKF) and Unscented Kalman Filter (UKF),
Model Predictive Control (MPC), Minimum Variance Control (MVC), Nonlinear Receding Horizon Predictive Control (RHPC).
Advanced Numerical Methods and Analysis
Iterative root finding, Fix-point, Bisection, False position, Newton-Raphson method,
Numerical Differentiation, Numerical Integration, Simpson's Rule, Romberg Integration,
Linear Systems, Jacobi and Gauss-Seidel iteration, Pivoting, Successive over Relaxation (SOR),
Nonlinear Systems, Secant, Halley’s, Horner’s, Broyden’s method,
Interpolation, Cubic Splines, Hermite and Legendre Interpolating Polynomials, Pade approximation, Bezier curves,
Curve fitting, Least Squares (LS), Logistic fit, Nonlinear Curve fitting, Trigonometric Polynomials,
Differential Equations (ODE), Euler and Adaptive Runge-Kutta technique, Direct Multiple Shooting, Discretization, Boundary Value Problem (BVP),
Partial Differential Equations (PDE), Finitie Difference and Crank-Nicholson method,
Newton-method, Gradient, Conjugate Gradient method.
Advanced Matrix Theory and Linear Algebra
Matrix Exponential, Hessenberg factorization, Singular Value Decomposition (SVD), QR Factorization, Gram-Schmidt orthogonalization,
Power methods, Jacobi method, Householder transformation, LU decomposition, Matrix norms,
Linear Matrix and Adjoint Transformation, Image, Kernel, Nullity, Bilinear and Quadratic forms, Invariant Subspace, Moore-Penrose pseudoinverse,
General Eigenvalue and Eigenvector Problem, Diagonalization, Jordan form,
Spectral decomposition, Projection, Cayley-Hamilton theorem, Matrix Functions, Matrix Equations, Hypermatrices, Stochastic matrices.