Control Systems Modeling and Optimization

Major: Computerized Control Systems and Automatics
Code of subject: 7.151.06.O.002
Credits: 6.00
Department: Automation and Computer-Integrated Technologies
Lecturer: Onysyk Stefan Bohdanovych, Senior Lecturer
Semester: 1 семестр
Mode of study: денна
Мета вивчення дисципліни: The purpose of studying the academic discipline It consists in the formation of students' knowledge of the basics of construction and application of methods, algorithms and computer tools for the optimization of objects and control systems, the modern theory of optimal control, as well as for the solution of applied problems from the field of activity of the master's degree in automation and computer science computer-integrated technologies.
Завдання: Formation and development of competences: General: The ability to solve complex tasks and problems during professional activity in the field of automation and instrumentation, or in the process of learning, which involves the application of theories and methods of the field, conducting research and/or implementing innovations and is characterized by the complexity and uncertainty of conditions. Ability to conduct research at an appropriate level. Ability to generate new ideas (creativity). Ability to abstract thinking, analysis and synthesis. Specialists: Ability to apply modeling and optimization methods to research and improve the efficiency of management systems and processes of complex technological and organizational and technical objects. The ability to use in-depth knowledge of special mathematical tools for modeling and identification of processes, equipment, means and systems of automation, control, diagnostics, testing and management of complex organizational and technical objects and systems using modern technologies of conducting scientific research. Ability to apply problem-oriented methods of analysis, synthesis and optimization of automation systems, production management processes in scientific research.
Learning outcomes: Learning outcomes according to the educational program, learning and teaching methods, methods of evaluating learning outcomes. As a result of studying the academic discipline, the student must be able to demonstrate the following learning outcomes: - knowledge and understanding of mathematical principles necessary for solving engineering problems and conducting research in the field of automation and computer-integrated technologies; - knowledge and understanding of physical, chemical laws and phenomena underlying technological processes of specialization; - mastering the principles and methods of optimizing objects and their management systems; - professionally profiled knowledge for the synthesis, design and debugging of control systems based on microprocessors, taking into account the properties of control objects; - knowledge of modeling methods, performing experiments during scientific research. As a result of studying the academic discipline, the student must be able to demonstrate the following program learning outcomes: - be able to apply modern modeling and optimization methods for research and creation of effective automation systems with complex technological and organizational-technical objects - be able to apply specialized mathematical tools for mathematical modeling and identification of automation systems with complex organizational and technical objects and systems. - to be able to apply methods of analysis, synthesis and optimization of automation systems, production management, product life cycle and its quality in scientific research. Teaching and learning methods Lectures - reproductive and problem-searching methods. Practical classes are a partially research method. Laboratory work is a research method. Independent work - reproductive and research methods. Methods of assessing the level of achievement of learning outcomes Current and examination control.
Required prior and related subjects: Prerequisites: - Further Mathematics, Parts 1, 2, 3; - Modeling of Controlled Plants; - Automatic Control Theory; - Identification and Simulation of Technological
Summary of the subject: The content of the educational discipline covers the most common optimization methods embedded in modern applied software. Examples of optimization problem statements and their solutions are considered (theoretical analytical optimization methods and extremum search methods).
Опис: Description of the academic discipline (titles of topics). 1. Introduction to optimization (statements of parametric optimization problems. Classic optimization methods. Conditions of application. MATLAB functions. Criteria in parametric optimization problems. Statements of problems of synthesis of optimal control systems. Criteria in optimal control problems). 2. Methods of unconditional one-parameter optimization. Methods of solving optimization problems by classical methods. Methods of finding extremum. Algorithms for finding extremum on real objects and their models. 3. Methods of unconditional multiparameter optimization. Methods of solving optimization problems by classical methods. Methods of finding extremum. Algorithms for finding extremum on real objects and their models. 4. Non-linear optimization in the presence of restrictions on optimization parameters. Classical methods of conditional optimization (non-linear programming) Methods of finding the extremum in problems with constraints 5. Synthesis of optimal control systems. Controllability, restoreability and observability of systems. Problems of the synthesis of a deterministic linear optimal controller and their analytical solution
Assessment methods and criteria: - written reports on laboratory works, oral questioning, 30%; - exam (written and oral form), 70%.
Критерії оцінювання результатів навчання: The level of knowledge of the student of higher education is based on the results of examination and current control. Theoretical questions and tasks that require the ability to apply the acquired knowledge to determine the properties and characteristics of dynamic systems are submitted to the examination control. Current control is carried out by the method of frontal control of knowledge during lectures and practical classes and by the quality of the performance of laboratory work.
Порядок та критерії виставляння балів та оцінок: Procedure and criteria for assigning points and grades. The learning results are evaluated by the sum of the points of the examination and current control within 100 points. The evaluation criterion of the examination control is the sum of the points of the written and oral components within 70 points. The total score of the written component is the sum of scores for the performance of all the tasks of the examination ticket. The completeness and quality of completed tasks is estimated within 65 points. The number of points for the oral component exam is set within 5 points based on the correctness of the answers to the additional questions related to the tasks of the ticket. The number of points for the current control is 30 points. Of them: - 20 points for the quality of laboratory work; - 10 points based on the results of the current control.
Recommended books: 1. Bundy U. B. Optimization methods. Introduction. Publishing house “Radio and Communication”, Moscow, 1988, (in Russian); 2. G. V. Reklaitis, A. Ravindran, Ken M. Ragsdell, Engineering Optimization: Methods and Applications, 2nd Edition, 2006; 3. Kvakernaak X., Sivan R. Linear optimal control systems. - Moscow: Publishing house “Science”, 1977, (in Russian); 4. Feldbaum B. A. Basic theory of optimal control, Moscow: Publishing house “Science”, 1968, (in Russian).
Уніфікований додаток: Lviv Polytechnic National University ensures the realization of the right of persons with disabilities to obtain higher education. Inclusive educational services are provided by the Service of accessibility to learning opportunities "Without restrictions", the purpose of which is to provide permanent individual support for the educational process of students with disabilities and chronic diseases. An important tool for the implementation of the inclusive educational policy at the University is the Program for improving the qualifications of scientific and pedagogical workers and educational and support staff in the field of social inclusion and inclusive education. Contact at: St. Karpinsky, 2/4, 1st floor, room 112 E-mail: nolimits@lpnu.ua Websites: https://lpnu.ua/nolimits https://lpnu.ua/integration
Академічна доброчесність: The policy regarding the academic integrity of participants in the educational process is formed on the basis of compliance with the principles of academic integrity, taking into account the norms "Regulations on academic integrity at the Lviv Polytechnic National University" (approved by the academic council of the university on June 20, 2017, protocol No. 35).

Control Systems Modeling and Optimization (курсовий проект)

Major: Computerized Control Systems and Automatics
Code of subject: 7.151.06.O.006
Credits: 3.00
Department: Automation and Computer-Integrated Technologies
Lecturer: Onysyk Stefan Bohdanovych, Senior Lecturer
Semester: 1 семестр
Mode of study: денна
Мета вивчення дисципліни: The purpose of studying the academic discipline It consists in the formation of students' knowledge of the basics of construction and application of methods, algorithms and computer tools for the optimization of objects and control systems, the modern theory of optimal control, as well as for the solution of applied problems from the field of activity of the master's degree in automation and computer science computer-integrated technologies.
Завдання: Formation and development of competences: General: The ability to solve complex tasks and problems during professional activity in the field of automation and instrumentation, or in the process of learning, which involves the application of theories and methods of the field, conducting research and/or implementing innovations and is characterized by the complexity and uncertainty of conditions. Ability to conduct research at an appropriate level. Ability to generate new ideas (creativity). Ability to abstract thinking, analysis and synthesis. Specialists: Ability to apply modeling and optimization methods to research and improve the efficiency of management systems and processes of complex technological and organizational and technical objects. The ability to use in-depth knowledge of special mathematical tools for modeling and identification of processes, equipment, means and systems of automation, control, diagnostics, testing and management of complex organizational and technical objects and systems using modern technologies of conducting scientific research. Ability to apply problem-oriented methods of analysis, synthesis and optimization of automation systems, production management processes in scientific research.
Learning outcomes: Learning outcomes according to the educational program, learning and teaching methods, methods of evaluating learning outcomes. As a result of studying the academic discipline, the student must be able to demonstrate the following learning outcomes: - knowledge and understanding of mathematical principles necessary for solving engineering problems and conducting research in the field of automation and computer-integrated technologies; - knowledge and understanding of physical, chemical laws and phenomena underlying technological processes of specialization; - mastering the principles and methods of optimizing objects and their management systems; - professionally profiled knowledge for the synthesis, design and debugging of control systems based on microprocessors, taking into account the properties of control objects; - knowledge of modeling methods, performing experiments during scientific research. As a result of studying the academic discipline, the student must be able to demonstrate the following program learning outcomes: - be able to apply modern modeling and optimization methods for research and creation of effective automation systems with complex technological and organizational-technical objects - be able to apply specialized mathematical tools for mathematical modeling and identification of automation systems with complex organizational and technical objects and systems. - to be able to apply methods of analysis, synthesis and optimization of automation systems, production management, product life cycle and its quality in scientific research. Teaching and learning methods Lectures - reproductive and problem-searching methods. Practical classes are a partially research method. Laboratory work is a research method. Independent work - reproductive and research methods. Methods of assessing the level of achievement of learning outcomes Current and examination control.
Required prior and related subjects: Prerequisites: - Further Mathematics, Parts 1, 2, 3; - Modeling of Controlled Plants; - Automatic Control Theory; - Identification and Simulation of Technological
Summary of the subject: The content of the educational discipline covers the most common optimization methods embedded in modern applied software. Examples of optimization problem statements and their solutions are considered (theoretical analytical optimization methods and extremum search methods).
Опис: Description of the academic discipline (titles of topics). 1. Introduction to optimization (statements of parametric optimization problems. Classic optimization methods. Conditions of application. MATLAB functions. Criteria in parametric optimization problems. Statements of problems of synthesis of optimal control systems. Criteria in optimal control problems). 2. Methods of unconditional one-parameter optimization. Methods of solving optimization problems by classical methods. Methods of finding extremum. Algorithms for finding extremum on real objects and their models. 3. Methods of unconditional multiparameter optimization. Methods of solving optimization problems by classical methods. Methods of finding extremum. Algorithms for finding extremum on real objects and their models. 4. Non-linear optimization in the presence of restrictions on optimization parameters. Classical methods of conditional optimization (non-linear programming) Methods of finding the extremum in problems with constraints 5. Synthesis of optimal control systems. Controllability, restoreability and observability of systems. Problems of the synthesis of a deterministic linear optimal controller and their analytical solution
Assessment methods and criteria: - written reports on laboratory works, oral questioning, 30%; - exam (written and oral form), 70%.
Критерії оцінювання результатів навчання: The level of knowledge of the student of higher education is based on the results of examination and current control. Theoretical questions and tasks that require the ability to apply the acquired knowledge to determine the properties and characteristics of dynamic systems are submitted to the examination control. Current control is carried out by the method of frontal control of knowledge during lectures and practical classes and by the quality of the performance of laboratory work.
Порядок та критерії виставляння балів та оцінок: Procedure and criteria for assigning points and grades. The learning results are evaluated by the sum of the points of the examination and current control within 100 points. The evaluation criterion of the examination control is the sum of the points of the written and oral components within 70 points. The total score of the written component is the sum of scores for the performance of all the tasks of the examination ticket. The completeness and quality of completed tasks is estimated within 65 points. The number of points for the oral component exam is set within 5 points based on the correctness of the answers to the additional questions related to the tasks of the ticket. The number of points for the current control is 30 points. Of them: - 20 points for the quality of laboratory work; - 10 points based on the results of the current control.
Recommended books: 1. Bundy U. B. Optimization methods. Introduction. Publishing house “Radio and Communication”, Moscow, 1988, (in Russian); 2. G. V. Reklaitis, A. Ravindran, Ken M. Ragsdell, Engineering Optimization: Methods and Applications, 2nd Edition, 2006; 3. Kvakernaak X., Sivan R. Linear optimal control systems. - Moscow: Publishing house “Science”, 1977, (in Russian); 4. Feldbaum B. A. Basic theory of optimal control, Moscow: Publishing house “Science”, 1968, (in Russian).
Уніфікований додаток: Lviv Polytechnic National University ensures the realization of the right of persons with disabilities to obtain higher education. Inclusive educational services are provided by the Service of accessibility to learning opportunities "Without restrictions", the purpose of which is to provide permanent individual support for the educational process of students with disabilities and chronic diseases. An important tool for the implementation of the inclusive educational policy at the University is the Program for improving the qualifications of scientific and pedagogical workers and educational and support staff in the field of social inclusion and inclusive education. Contact at: St. Karpinsky, 2/4, 1st floor, room 112 E-mail: nolimits@lpnu.ua Websites: https://lpnu.ua/nolimits https://lpnu.ua/integration
Академічна доброчесність: The policy regarding the academic integrity of participants in the educational process is formed on the basis of compliance with the principles of academic integrity, taking into account the norms "Regulations on academic integrity at the Lviv Polytechnic National University" (approved by the academic council of the university on June 20, 2017, protocol No. 35).