654-3026/01 – Optimal Control of process (OŘP)
| Gurantor department | Department of Industrial Systems Management | Credits | 6 |
| Subject guarantor | doc. Ing. Milan Heger, CSc. | Subject version guarantor | doc. Ing. Milan Heger, CSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2022/2023 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Student will be able to classify and apply individual methods of optimal control theory in praxis.
Student will be able to design a succession for control optimization of individual technological aggregates.
Teaching methods
Lectures
Tutorials
Experimental work in labs
Summary
The basic terms and relations of optimal control theory, analytical and numerical methods of one dimensional and multidimensional static optimization and classical theory of extreme regulation of dynamic systems are discussed. Attention is also paid to the optimal management of larger technological units using linear programming. The lecture is focused on the principles of dynamic optimization and the use of artificial intelligence. The subject provides comprehensive information on the problems of calculating the extremes of functions and functions in solving the optimization tasks of controlling technological aggregates and processes.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
Written and oral examination.
E-learning
Other requirements
elaboration of semester project and passing the test
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Issues of optimal process control. Optimization of static and dynamic systems. Introduction to optimal control theory, static and dynamic optimization, one-dimensional and multidimensional problems, mathematical apparatus and methods of solution.
2. Analytical methods of static one-dimensional optimization, derivation of necessary and sufficient conditions for optimal search, approaches and methods of solution. Practical graphical representation of methods in Excel.
3. Numerical methods of static one-dimensional optimization, their importance and individual approaches. Practical use of differential, direct, interpolation, comparative, adaptive methods.
4. Analytical methods of multidimensional static optimization without limitations and limitations.
5. The smallest square method uses it to approximate functions. Using neural networks to approximate functions. Compare both approaches.
6. Numerical methods of multidimensional static optimization, deterministic and stochastic. Using artificial intelligence in solving multidimensional static optimization tasks. Software implementation of these methods with simulations.
7. Principles and methods of extreme regulation and examples of their practical use in metallurgy and related fields. Software implementation of the extreme controller.
8. Linear programming, basic concepts, graphical interpretations and solutions, modeling and application at hierarchically superior management levels in the metallurgical industry.
9. Linear programming - solution of production programming tasks, nutritional problem, distribution problem and optimization of cutting plans.
10. Practical use of solver in Excel for solving linear and nonlinear problems of multidimensional static optimization.
11. Methods of optimization in solving practical problems in logistics.
12. Dynamic optimization, basic concepts, types of purposeful functions, task definition, methods and applications for optimal control of larger energy aggregates and metallurgical units and optimal setting of control circuits.
13. Use of genetic algorithms and solver in Excel for optimizing the acquisition of mathematical descriptions of dynamic systems from experimentally acquired processes.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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