The brief instability concept in Linear Parameter Varying (LPV) systems allows the linear system to be unstable for some values of the LPV parameters so that instability occurs only for a short period of time. The present paper takes advantage of an extension of the notion of the brief instability to the LPV systems with time-delay in their dynamics to examine the performance degradation in Fault Tolerant Control (FTC) systems in the presence of false identification of the fault signals. The paper provides tools for the stability and performance analysis of such systems, where performance is evaluated in terms of induced L2-gain. The results presented in the paper demonstrate that stability and performance can be evaluated by examining the feasibility of a parameterized set of Linear Matrix Inequalities (LMIs). The paper provides the analysis conditions to guarantee the asymptotic stability and H∞ performance for FTC systems, in which instability, due to the false identification of the fault signals, is allowed to take place for a short period of time. A numerical example is presented to illustrate the qualifications of the proposed analysis and synthesis conditions for treating brief instability in the delayed FTC systems.
Skip Nav Destination
ASME 2009 Dynamic Systems and Control Conference
October 12–14, 2009
Hollywood, California, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-4892-0
PROCEEDINGS PAPER
Performance Analysis of Fault Tolerant Control Systems Including Time Delay
Javad Mohammadpour,
Javad Mohammadpour
University of Houston, Houston, TX
Search for other works by this author on:
Karolos M. Grigoriadis
Karolos M. Grigoriadis
University of Houston, Houston, TX
Search for other works by this author on:
Javad Mohammadpour
University of Houston, Houston, TX
Karolos M. Grigoriadis
University of Houston, Houston, TX
Paper No:
DSCC2009-2551, pp. 403-409; 7 pages
Published Online:
September 16, 2010
Citation
Mohammadpour, J, & Grigoriadis, KM. "Performance Analysis of Fault Tolerant Control Systems Including Time Delay." Proceedings of the ASME 2009 Dynamic Systems and Control Conference. ASME 2009 Dynamic Systems and Control Conference, Volume 1. Hollywood, California, USA. October 12–14, 2009. pp. 403-409. ASME. https://doi.org/10.1115/DSCC2009-2551
Download citation file:
5
Views
Related Proceedings Papers
Related Articles
Adaptive Variable Structure Control of Linear Delayed Systems
J. Dyn. Sys., Meas., Control (December,2005)
H ∞ Control for Continuous-Time Switched Linear Systems
J. Dyn. Sys., Meas., Control (July,2010)
Stochastic Stability and Stabilization of Uncertain Jump Linear Delay Systems via Delay Decomposition
J. Dyn. Sys., Meas., Control (March,2011)
Related Chapters
Dynamic Behavior in a Singular Delayed Bioeconomic Model
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
A New Mobile Haptic Game for Dynamic Objects
International Conference on Software Technology and Engineering (ICSTE 2012)
A Comparative Study of Time Delay Neural Networks and Hidden Markov Models for Electroencephalographic Signal Classification
Intelligent Engineering Systems through Artificial Neural Networks, Volume 16