Control of Large-Scale Systems

Lecturer:

Tutor:

Supervisor:

Department of Control Engineering

Synopsis:

The scope of this course is to present selected topics from the recent developments of the control theory with a special accent on the description and derivation of algorithms. Methods of the adaptive control will be presented, also for nonlinear systems. Further we deal with algorithms for the decomposition of large-scale systems and hierarchical and decentralized control of complex systems. The control of distributed-parameter systems will be described at the end of the course together with selected numerical methods and some examples of such systems.

Requirements:

Linear systems theory, nonlinear systems, calculus (differential equations, functions of several variables, optimization), statistics

Syllabus of lectures:

Courses ORR, TDS, OAF, M2, M3, M4 are the prerequisite

1. Survey of recent trends in the control theory

2. Adaptive systems - principles, Model-reference Adaptive Systems

3. Self-tuning regulators, Gain scheduling

4. Stochastic adaptive systems

5. Decomposition of complex systems

6. Properties and restrictions of the decentralized control

7. Fixed modes

8. Optimal and adaptive control of decentralized systems

9. Hierarchical control design, coordination

10. Hierarchical control design, coordination - continued

11. Distributed-parameter systems - basic facts

12. Heat-transfer equation, wave equation

13. LQ control of systems with distributed parameters

14. Numerical methods for distributed-parameter systems

Syllabus of tutorials:

1. Basic facts and applications of the control theory

2. Adaptive systems - homework

3. MRAS controller - design

4. Design of other types of adaptive controllers

5. Homework presentation

6. Decentralized control - homework

7. Decomposition of the system from the homework and analysis of its properties

8. Design of the decentralized controller

9. Hierarchical control - homework

10. Design of the hierarchical control system

11. Distributed-parameter systems - basic facts

12. Simulations of a distributed-parameter system

13. Simulations of a distributed-parameter system, presentations

14. Credit

Study Objective:

Study materials:

1. Astrom, K.J., Wittenmark, B.: Adaptive Control, Addison Wesley, 1989

2. Mosca, E.: Optimal, Predictive and Adaptive Control, Prentice Hall, 1995

3. Lions, J.L.: Optimal Control of Systems Governed by Partial Differential

Equations, Springer 1971

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

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• Heavy-current Engineering - Technological Systems- structured studies (elective specialized course)
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• Electronics - Electronic Applications- structured studies (elective specialized course)
• Electronics - Electronics and Photonics- structured studies (elective specialized course)
• Cybernetics and Measurements - Artificial Intelligence- structured studies (elective specialized course)
• Cybernetics and Measurements - Measurement and Instrumentation Systems- structured studies (elective specialized course)
• Cybernetics and Measurements - Aeronautical Engineering and Control Systems- structured studies (elective specialized course)
• Heavy-current Engineering - Electric Drives- structured studies (elective specialized course)
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• Heavy-current Engineering - Electrical Engineering Applications- structured studies (elective specialized course)
• Telecommunications and Radio-engineering - Opto-electric Systems- structured studies (elective specialized course)
• Telecommunications and Radio-engineering - Radio Communications, Navigation and Radar Systems- struc (elective specialized course)
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