Engineering Applications of Time Delay Systém Theory

Garant předmětu:

Tomáš Vyhlídal

Lecturer:

Tomáš Vyhlídal

Tutor:

Tomáš Vyhlídal

Supervisor:

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:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans: