Engineering Applications of Time Delay Systém Theory

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Tutor:

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Department of Instrumentation and Control Engineering

Synopsis:

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.

Requirements:

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/

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: