545-0061/02 – Optimalization (Opt)

Gurantor departmentDepartment of Economics and Control SystemsCredits5
Subject guarantorIng. Pavel Staša, Ph.D.Subject version guarantorIng. Pavel Staša, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2007/2008Year of cancellation2015/2016
Intended for the facultiesHGFIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
REP75 Ing. Michal Řepka, Ph.D.
STA172 Ing. Pavel Staša, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The aim of this course is to develop basic knowledge and optimization of dynamic systems. After a one-dimensional static optimization methods are discussed basic methods of multivariate optimization and linear programming. Following the theoretical foundations of dynamic optimization with a focus on cyber systems. Finally, students are familiar with using genetic algorithms, and applications of evolutionary optimization methods.

Teaching methods

Lectures
Seminars
Tutorials
Project work

Summary

The course develops basic questions of optimization of dynamic systems. after putting one-dimensional static optimization methods are discussed basic methods Multivariate optimization and linear programming. The following theoretical foundations of dynamic optimization with a focus on cyber systems. Vzávěru students are familiar with the use of genetic algorithms and applications optimization methods.

Compulsory literature:

FRANKLIN, G.F., a kol.: Feedback Control of Dynamic Systems, Pearson Prentice Hall 2006, ISBN 0-13-149930-0, 910 pp.

Recommended literature:

Literature recommended by the supervisor to the specific topic BP / DP

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Individuální, dle bližší specifikace vedoucího cvičení.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1st Optimization problems, methods of solving 2nd Analytical methods of solving one-dimensional optimization problem 3rd The method of golden section and Fibonacci method 4th Static optimization functions of several variables, types of tasks and methods of solution 5th Solving multi-dimensional optimization problem without constraints 6th Lagrange function, its determination and significance for multi-dimensional optimization tasks 7th Solving problems with multi-dimensional optical constraints with equality 8th Khun-Tucker conditions, the derivation and meaning 9th Solving multi-dimensional problems with optical constraints in the form of inequality 10th The role of linear programming and its solution, 1 and 2 role 11th Vector optimization 12th Minimizing weighted targeted FCI 13th Dynamic program. - Recurrent Bellman equation 14th Extreme control, addressing the dynamics of the closed loop control with extreme controller 15th Genetic algorithms and their applications, evolutionary optimization methods

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2014/2015 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2009/2010 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2008/2009 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan
2007/2008 (N2102) Mineral Raw Materials (3902T006) Automation and Computers in Raw Industry P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner