Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Nonlinear Programming and Optimal Control (17.BM118A)

Native organizations units: Sub-department for Automatic Control and Systems Engineering

Type of studies	Title
Undergraduate Academic Studies	Biomedical Engineering (Godina: 4, Winter)

General information:

Category	Professional-applicative
Scientific or art field	Automatic Control and System Engineering
Interdisciplinary	No
ECTS	5

Educational goal:

Mastering basic theoretical and practical principles of nonlinear optimization and optimal control. Application in biomedical engineering.

Educational outcome:

Classes and active participation help students to acquire necessary and sufficient knowledge for analysing and designing systems for automated management in production systems, as well as their operational application in actual industrial systems.

Course content:

Fundamental theoretical concepts of static convex and non-convex programming. First and second order optimality conditions for analytical solution of single-variable constrained and unconstrained optimization. Optimality conditions for analytical solution of multivariable optimization problems with constrants. Linear programming. Numerical solution of single-variable problems. Numerical solution of multi-variable problems, with and without constraints. Fundamentals of variational calculus. Optimal control: Pontryagin maximum principle. Numerical methods of dynamic programming. Modern search strategies: Evolutionary & Genetic optimization, Particle Swarm Optimization. Optimization techniques in neural networks training and in fuzzy systems design. Applications in real-life engineering problems, including, but not limited to, identification of nonlinear biological and medical models. Application in biomedical engineering.

Teaching methods:

Lectures. Numerical calculation practice.Computer practice. Laboratory practice. Consultations.

Literature:

Authors	Title	Year	Publisher	Language
S. Boyd, L. Vendenberghe	Convex Optimization	2009	Cambridge University Press	English
Dimitri Bertsekas	Nonlinear Programming	2004	Athena Scientific	English
Kanović, Ž., Rapaić, M., Jeličić, Z.	Evolutivni optimizacioni algoritmi u inženjerskoj praksi	2107	Fakultet tehničkih nauka, Novi Sad	Serbian language
Vujanović, B., Spasić D.	Metodi optimizacije	2009	Fakultet tehničkih nauka, Novi Sad	Serbian language
Petrić, J., Zlobec, S.	Nelinearno programiranje	1983	Naučna knjiga, Beograd	Serbian language