Home/ Majors directory/Computerized Control Systems and Automatics/Optimal and Adaptive Control Systems
Optimal and Adaptive Control Systems
Major: Computerized Control Systems and Automatics
Code of subject: 7.151.06.O.003
Credits: 6.00
Department: Computerized Automatic Systems
Lecturer: Garaniuk Igor Paviovuc
Semester: 1 семестр
Mode of study: денна
Завдання: • formation of sustainable knowledge on methods of building optimal and adaptive control systems, methods of mathematical description of process dynamics in them, methods of quality analysis of control processes and correction of dynamic properties of such systems;
•
formation of solid skills and abilities in the application of software tools for the implementation of methods of optimal and adaptive control systems.
In order to achieve the required level of knowledge and skills, when studying a discipline, the main means of influencing the learning of educational material are used. Therefore, in the process of teaching the discipline, the tasks of presenting the educational material are solved on an informational basis in combination with elements of feedback and control over the acquisition of knowledge.
As a result of studying the academic discipline, the student should be able to demonstrate the following learning outcomes:
a) know the types of optimality criteria of static and dynamic control systems;
b) to know the classical methods of calculus of variations, the method of the maximum principle of L.S. Pontryagina, R. Bellman's method of dynamic programming for optimization of dynamic systems;
c) know linear programming methods for optimizing static control systems;
d) know the features of the maximum principle for continuous systems.
e) know the application of the dynamic programming method for continuous and discrete systems.
g) know the principles of operation and analysis of adaptive systems with models and with unstable parameters of elements.
The study of an academic discipline involves the formation and development of students' competencies:
general:
1. Ability to analyze and synthesize optimal and adaptive control systems.
2. Ability to apply acquired knowledge in practice.
3. Have research skills.
4. The ability to solve problems and make appropriate decisions.
5. Knowledge of a technical foreign language.
6. Ability to system thinking.
7. Responsibility for the quality and timeliness of the work performed.
professional:
1. Ability to apply acquired knowledge and practical skills to solve typical problems of optimal and adaptive management.
2. Ability to analyze and synthesize optimal and adaptive control systems with desired indicators.
3. The ability to use computer-integrated environments for modeling and solving optimization problems.
4. The ability to apply modern methods of analysis and synthesis of optimal and adaptive control systems in computer-integrated automation systems and robotic complexes.
Learning outcomes: 1. Basic knowledge of scientific concepts, methods and means of transformation and processing of signals and images.
2. Knowledge of the basic approaches of converting signals from one area to another, methods and means of digital filtering and compression of signals and images.
3. Knowledge of the basic methods of applying digital signatures to images for the purpose of copyright protection.
4. The ability to use acquired knowledge of signal and image processing in practice in the process of implementing computer-integrated systems.
Required prior and related subjects: The previous ones
related and subsequent educational disciplines
academic disciplines
Theory of automatic control Digital control systems
Summary of the subject: The academic discipline "Optimal and adaptive control systems" examines the theoretical and practical aspects of the named control systems. The purpose of teaching the content module is to deepen students' knowledge in the field of special sections of the theory of automatic control, in the field of analysis and synthesis of optimal and adaptive control systems.
Content.
Educational element "Optimal automatic control systems". Introduction. Mathematical models of objects and control systems. Formulation of the problem of optimal control. Characteristics of optimization criteria. Classification of optimization problems. Variational methods in optimization problems. Euler, Euler-Poisson equations. Variational problems with control restrictions. Method of dynamic programming by R. Bellman. The principles of maximum L.S. Pontryagin and its application. The connection between the dynamic programming method and the maximum principle. The systems are optimal in terms of speed. Synthesis of speed-optimal systems. Analytical design of optimal control systems.
Educational element "Extreme Control Systems". Characteristics of objects of extreme control (EC). SEC with memory of extremum, with derivative control, with synchronous detection system, with auxiliary oscillations, step type. Study of the dynamics of SEC using the phase plane. Methods of finding multivariate extrema.
Educational element "Adaptive systems". The principle of construction and classification of adaptive systems. Search adaptive systems based on signals of external influences. Search adaptive systems with control object settings. Search-free adaptive systems. Adaptive SACs with models.
Опис: Introduction. Optimal and adaptive control systems, their types. Static and dynamic optimization criteria.
Methods of linear and nonlinear programming and their application for optimization of static control systems.
Classical methods of calculus of variations for optimization of dynamic systems.
The principles of maximum L.S. Pontryagin and its application.
Method of dynamic programming by R. Bellman.
Extreme adaptive systems.
Adaptive systems with models, conditions for identification of control objects.
Adaptive control systems with unstable element parameters.
Assessment methods and criteria: Checking readiness and performance of laboratory work, checking completion of individual homework, exam.
Критерії оцінювання результатів навчання: 1. Performing laboratory work (20)
2. Completion of individual homework (10) Written together on PC
the oral component
component
30 30 40 100
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: Basic
1. A.G. Tobacconist Optimal and adaptive automatic control systems. Tutorial. Zhytomyr 1998.
2. A.G. Aleksandrov. Optimal and adaptive systems. Moscow, Higher School, 1989.
3. E.P. Churakov. Optimal and adaptive systems. Moscow, energoatomizdat, 1987.
4. V.A. Ivanov, N.V. Faldin. Theory of optimal automatic control systems. Moscow, "Nauka", 1981.
5. M. Atans, P. Falb. Optimal control. Moscow, "Mashinostroenie",
Auxiliary
1. Outline of lectures
2. EICKHOFF P. Fundamentals of identification of control systems. M. Mir, 1975, 684 p.
3. Kuropatkin P.V. Optimal and adaptive systems. M. Higher School, 1980, 287p.
4. V.A. OLEYNIKOV, N.S. ZOTOV, A.M. PRISHVYN. Basics of optimal and extreme control. M., Higher School, 1969, 296p.
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