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Lecturer(s)
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Hlava Jaroslav, doc. Dr. Ing.
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Mrázek Petr, Ing. Ph.D.
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Course content
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Course syllabus 1. Technical and biological systems, mathematical models of biological systems, input/output descriptions of systems, state equations, linear and non-linear systems. 2. Input/output models of continuous linear systems, differential equations, transfer functions, frequency response, step response. 3. Important examples of linear dynamical systems and their time domain and frequency domain behaviour, first order systems, higher order systems, integrating systems, systems with non-minimum phase response. 4. State equations of dynamical systems, relation between state equations and input/output models. 5. Discrete-time systems, mathematical models of discrete systems, discretization of continuous systems. 6. Stability, definitions of stability, stability criteria, time delay and its effects on system stability. 7. Principles of feedback control, stability of feedback control loop, feedforward control. 8. PID controllers, tuning of PID controllers, modifications and extensions of PID algorithm, dead time compensation (Smith predictor). 9. Commercially available PID controllers, control loops in medical engineering. 10.-11 More complex control loops in medicine, automatic control in anaesthesia. 12. Automatic closed loop control of blood glucose 13.-14. Control loops in human body, analogy between cerebellum and Smith predictor, analysis of human respiratory control system.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Class attendance
- 56 hours per semester
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Learning outcomes
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The objective of this course is to introduce students into the field of cybernetics with main emphasis on systems and control theory. Students will acquire the knowledge that will enable them to understand control systems used in medical instrumentation. Further they will gain a more general view of the feedback control as a principle that plays a crucial role in living organisms. In this way, students should be able to use systems and control theory as a tool for understanding many processes in living organisms and especially in human body.
Students graduating from this course will be able to understand the principles on the basis of which control systems used in medical technological devices work. As a result of it, they will be able to utilize fully the power of modern medical technology and to participate actively in its further development. Further they will be able to use cybernetic and control theoretic approaches as tools for understanding processes in living organisms and especially in human body.
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Prerequisites
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Condition of registration: none
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Assessment methods and criteria
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Combined examination
Activity on seminars, successful passing the tests and understanding of the lectured topics are required for getting the classified credit.
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Recommended literature
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Batzel.J. & Tran, H.T. Stability of the human respiratory control system I,II. Journal of Mathematical Biology. Vol. 41, No. 1 , pp. 45-102., 2000.
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Frederick Ch., & Tyrone F. Closed-Loop Control of Blood Glucose. Springer Verlag, 2007. ISBN 10 3-540-74030-9.
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Gentilini A. et al. Closed-loop control of analgesia in humans. IEEE Conference on Decision and Control, Orlando, 2001.
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Miall, R.C., Weir D. J., Wolpert D. M. & Stein J. F. Is the Cerebellum a Smith Predictor?. Journal of Motor Behavior, ročník 25, č. 3, s. 203-216., 1993.
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Pazourek J. Simulace biologických systémů. Praha, Grada, 1992.
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Štecha J., & Havlena V. Teorie dynamických systémů. Praha, ČVUT FEL, skripta, 1995.
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www:. elektronické materiály.
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