Gurantor department | Department of Control Systems and Instrumentation | Credits | 10 |

Subject guarantor | prof. Ing. Miluše Vítečková, CSc. | Subject version guarantor | prof. Ing. Miluše Vítečková, CSc. |

Study level | postgraduate | Requirement | Choice-compulsory type B |

Year | Semester | winter + summer | |

Study language | Czech | ||

Year of introduction | 2013/2014 | Year of cancellation | |

Intended for the faculties | FS, HGF | Intended for study types | Doctoral |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

VIT40 | prof. Ing. Antonín Víteček, CSc.,Dr.h.c. | ||

VIT60 | prof. Ing. Miluše Vítečková, CSc. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Examination | 25+0 |

Part-time | Examination | 25+0 |

Optimality criteria, conditions for optimality, constrains, forms of solution. The analytical and numerical methods of minimization of functions of single and several variables, equality constrains, inequality constrains, Kuhn-Tucker conditions, saddle point conditions. Minimization of functionals, optimal control problems. Bellman’s principle of optimality and dynamic programming. Pontryagin’s minimum principle. Calculus of variations. The method of ag-gregation of state variables in optimal control.

Individual consultations

Project work

Optimality criteria, conditions for optimality, constrains, forms of solution. The analytical and numerical methods of minimization of functions of single and several variables, equality constrains, inequality constrains, Kuhn-Tucker conditions, saddle point conditions. Minimization of functionals, optimal control problems. Bellman’s principle of optimality and dynamic programming. Pontryagin’s minimum principle. Calculus of variations. The method of aggregation of state variables in optimal control.

LEWIS, F. L., SYRMOS, V. L. Optimal Control. Second Edition. John Wiley & Sons, New York, 1995, ISBN 0-471-03378-2.
PINCH, E. R. Optimal Control and the Calculus of Variations. Oxford University Press, Oxford, 1993, ISBN 0-19-853217-2.
RARDIN, R. L. Optimization in Operations Research. Second Edition. Pearson Higher Education, Hoboken, 2017, ISBN 978-0-13-438455-9.
RAVINDRAN, A., RAGSDELL, K. M., REKLAITIS, G. Engineering Optimization. Methods and Applications. Second Edition. John Wiley & Sons, Hoboken, 2006, ISBN-13 978-0-471-53814-9
http://books.fs.vsb.cz/StatickaOptimalizace/index.htm
http://books.fs.vsb.cz/Agregace/index.html

ALEXEJEV, V. M., Tichomirov, V. M., FOMIN, S. V. Matematická teorie optimálních procesů. Academia, Praha, 1991, ISBN 80-200-0319-3.
BURNS, J. A. Introduction to the Calculus of Variations and Control. CRC Press, Taylor & Francis Group, Boca Raton, 2014, ISBN 978-1-4665-7139-1.

Kontrola zadaného projektu.

Elaboration of the project.

Subject has no prerequisities.

Subject has no co-requisities.

Static optimization. Optimization without constraints, optimization with constraints, numerical solution methods. Optimal control of discrete-time systems. Discrete-time linear quadratic regulator, Bellman’s principle of optimality, dynamic programming in discrete-time optimal control. Optimal control of continuous-time systems. Dynamic programming in continuous-time optimal control. Pontryagin minimum principle, calculus of variations. Aggregation method in optimal control. Standard systems, non-robust and robust control.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Examination | Examination |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2021/2022 | (P0714D270001) Control of Machines and Processes | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2021/2022 | (P0714D270001) Control of Machines and Processes | K | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0714D270001) Control of Machines and Processes | P | Czech | Ostrava | Choice-compulsory type B | study plan | ||||||

2020/2021 | (P0714D270001) Control of Machines and Processes | K | Czech | Ostrava | Choice-compulsory type B | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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