Engineering Applications of Time Delay Systém Theory

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Code Completion Credits Range
W37OZ002 ZK 78P
Garant předmětu:
Tomáš Vyhlídal
Tomáš Vyhlídal
Tomáš Vyhlídal
Department of Instrumentation and Control Engineering

The subject is focused on application of modern theory of time delay systems in (mechanical) engineering applications. After introducing properties of a given class of infinite order systems and control design methods, attention is paid to the analysis of specific problems in engineering practice.

Syllabus of lectures:

• Systems with distributed parameters and their description by time delay models, classification and structure of time delay systems

• Mathematical model synthesis for a time delay system

• Spectral and frequency characteristics of time delay systems, stability of retarded systems

• Strong stability of neutral systems with time delays

• Pole placement based design of a finite order controller - spectral optimization methods

• Delay compensation schemes, Smith's predictor and its robust modifications

• Internal model control for delayed systems.

• Modelling and control of distributed processes with transport delays, distribution networks, heat piping systems

• Analysis of regenerative chatter in machining, vibrations due to delays in turning and milling processes

• Time delay algorithms for vibration suppression, delayed resonator

• Compensation of oscillatory modes of flexible systems by signal shapers with delays

• Tele-operation control of robots with communication delay

Syllabus of tutorials:
Study Objective:
Study materials:

• Michiels, W., Niculescu, S. I Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue-Based Approach. Advances in Design and Control 27, SIAM Publications, Philadelphia, 2014

• Gu K, Chen J, Kharitonov VL. Stability of time-delay systems. Springer Science & Business Media; 2003 Jun 26.

• Hu, H., Wang, Z. Dynamics of Controlled Mechanical Systems with Delayed Feedback, Springer, Berlin Heidelberg, 2002

• Study material available at https://moodle-vyuka.cvut.cz/

Time-table for winter semester 2023/2024:
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Time-table for summer semester 2023/2024:
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The course is a part of the following study plans:
Data valid to 2024-06-19
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