Course: State Space Control Systems

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Course title State Space Control Systems
Course code MTI/STR
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter and summer
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
Form of instruction Face-to-face
Work placements Course does not contain work placement
Recommended optional programme components None
Course availability The course is available to visiting students
  • Hubka Lukáš, Ing. Ph.D.
  • Školník Petr, Ing. Ph.D.
Course content
Lectures: 1. Introduction to the state-space description and state-space models. State trajectory. Linearization. Stability. 2. Transformations between inner and outer descriptions. The transformation between state-spaces. Initial condition representation and transformation. 3. Description in normal forms. Controllability. Observability. 4. Minimal realization. System order reduction. 5. State vector, the fundamental matrix. Fundamental matrix computation technics. 6. State controller introduction. State controller tuning by Ackerman method. 7. State controller tuning by the pole-placement method. State controller for reference tracking. 8. Deterministic (Luenberg) observer (estimator) - description and design. 9. Kalman approach to the observer design. 10. LQR state controller design. LQG state controller design. 11. Reduced order observer. 12. State-space description of systems with time delays. 13. State control of systems with time delays (predictor including). 14. A discrete version of state space description and state control. Practices: Students solve selected problems related to the actual chapter from lectures.

Learning activities and teaching methods
Monological explanation (lecture, presentation,briefing), Laboratory work
  • Class attendance - 56 hours per semester
Learning outcomes
This subject makes an effort at detailed analysis of dynamic features of systems, both continuous and discrete ones. Linear systems are preferred. There are studied the problems of their various state description, their transform and their canonical forms. Relation between inner and external description is shown, as well as the conversion between their continuous and discrete models. The considerable part of subject is given to state estimation problem, both in full and reduce order Luenberger's variants. The very main problem is the practical design of optimal state controller, again in both modification continuous and discrete ones.
Students will acquire more detailed knowledge in control engineering and practical experience with state space controller design.
Condition of registration: none

Assessment methods and criteria
Combined examination

Recommended literature
  • Kuo, Benjamin C. Automatic Control Systems. London, Prentince-Hall, Inc. 1991.
  • Kwakernaak - Sivan:. Linear Optimal Control Systems. NY, John Wiley & Sons, Inc. 1972.
  • Luenberger, D.G. An Introduction to Observers. IEEE Trans. on Automatic Control, Vol. AC-16, pp.596-602.
  • Mařík - Zdráhal:. Obecná teorie systémů-řešené příklady. /Skriptum/. Praha, ČVUT FEL 1980.
  • Raven, F.H. Automatic Control Engineering. NY, McGraw-Hill, Inc. 1995.
  • Štecha J., & Havlena V. Teorie dynamických systémů. Praha, ČVUT FEL, skripta, 1995.
  • Štecha, J. Obecná teorie systémů. /Skriptum/. Praha, ČVUT FEL 1979.
  • Van de Vegte, J. Feedback Control Systems. NJ, Prentice-Hall, Inc. 1990.

Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Mechatronics, Informatics and Interdisciplinary Studies Study plan (Version): Automatic Control and Applied Computer Science (2016) Category: Special and interdisciplinary fields 1 Recommended year of study:1, Recommended semester: Summer