Most control systems are contaminated with some level of time delay. Whether it appears due to the inherent system dynamics or because of the sensory feedback, the delay has to be resolved regarding the system stability. We explain an unprecedented and fundamental treatment of time delay in a general class of linear time invariant systems (LTI) following a strategy, which we call the ‘Direct Method’. The strengths of the method lie in recognizing two interesting and novel features, which are typical for this class of systems. These features enable a structured strategy to be formed for analyzing the stability of LTI-TDS (Time Delayed Systems). Vibration control settings are not immune from time delay effects. We present a case study on active control of vibration using linear full state feedback. We then apply the Direct Method on this structure to display the stability outlook along the axis of delay. There appears an interesting property, which is related to the determination of the imaginary (i.e. marginally stable) roots of LTI-TDS. We state a general lemma and proof on this point.
Skip Nav Destination
ASME 2002 International Mechanical Engineering Congress and Exposition
November 17–22, 2002
New Orleans, Louisiana, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
0-7918-3629-0
PROCEEDINGS PAPER
A New Perspective for Time Delayed Control Systems With Application to Vibration Suppression
Rifat Sipahi,
Rifat Sipahi
University of Connecticut, Storrs, CT
Search for other works by this author on:
Nejat Olgac
Nejat Olgac
University of Connecticut, Storrs, CT
Search for other works by this author on:
Rifat Sipahi
University of Connecticut, Storrs, CT
Nejat Olgac
University of Connecticut, Storrs, CT
Paper No:
IMECE2002-33535, pp. 355-362; 8 pages
Published Online:
June 3, 2008
Citation
Sipahi, R, & Olgac, N. "A New Perspective for Time Delayed Control Systems With Application to Vibration Suppression." Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Dynamic Systems and Control. New Orleans, Louisiana, USA. November 17–22, 2002. pp. 355-362. ASME. https://doi.org/10.1115/IMECE2002-33535
Download citation file:
7
Views
Related Proceedings Papers
Related Articles
Active Vibration Suppression With Time Delayed Feedback
J. Vib. Acoust (July,2003)
Closed Form Control Gains for Zero Assignment in the Time Delayed System
J. Comput. Nonlinear Dynam (April,2011)
A Robust Delayed Resonator Construction Using Amplifying Mechanism
J. Vib. Acoust (February,2023)
Related Chapters
Computing Algorithmic Complexity Using Advance Sampling Technique
Intelligent Engineering Systems through Artificial Neural Networks Volume 18
Vibration Control of the Turbine Blade Using Quantitative Feedback Theory
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3
Pre-Accidental Situations Highlighted by RECUPERARE Method and Data (PSAM-0029)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)