A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems

Venkatesh Rajagopalan; Rohan Samsi; Asok Ray; Jeffrey Mayer; Constantino Manuel Lagoa

A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems

Venkatesh Rajagopalan
, Rohan Samsi
, Asok Ray
, Jeffrey Mayer
, Constantino Manuel Lagoa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper deals with the early detection of small parameter variations in non-linear systems. The objective is to detect these variations, before they manifest themselves as a sudden change in the phase behavior. It is assumed that these parameter variations occur slowly in time. Early detection of slow time-scale anomalous behavior in nonlinear dynamical system is achieved by observing and inferring time series data of the state or output variables, at the fast time-scale. The detection algorithm makes use of Symbolic Dynamics and Finite State Automata. As an example, we consider the Duffing equation which is a second order non-linear differential equation. The methodology is validated both in simulation and experiment. This concept can be further extended to dynamical systems of higher complexity.

Original language	English (US)
Title of host publication	Proceedings of the IASTED International Conference on Circuits, Signals, and Systems
Editors	M.H. Rashid
Pages	213-218
Number of pages	6
State	Published - 2004
Event	Proceedings of the IASTED International Conference on Circuits, Signals, and Systems - Clearwater Beach, FL, United States Duration: Nov 28 2004 → Dec 1 2004

Publication series

Name	Proceedings of the IASTED International Conference on Circuits, Signals, and Systems

Other

Other	Proceedings of the IASTED International Conference on Circuits, Signals, and Systems
Country/Territory	United States
City	Clearwater Beach, FL
Period	11/28/04 → 12/1/04

All Science Journal Classification (ASJC) codes

General Engineering

Cite this

Rajagopalan, V., Samsi, R., Ray, A., Mayer, J., & Lagoa, C. M. (2004). A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems. In M. H. Rashid (Ed.), Proceedings of the IASTED International Conference on Circuits, Signals, and Systems (pp. 213-218). Article 449-082 (Proceedings of the IASTED International Conference on Circuits, Signals, and Systems).

Rajagopalan, Venkatesh ; Samsi, Rohan ; Ray, Asok et al. / A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems. Proceedings of the IASTED International Conference on Circuits, Signals, and Systems. editor / M.H. Rashid. 2004. pp. 213-218 (Proceedings of the IASTED International Conference on Circuits, Signals, and Systems).

@inproceedings{ff914c70fb9e47988453f0fa5bf1a514,

title = "A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems",

abstract = "This paper deals with the early detection of small parameter variations in non-linear systems. The objective is to detect these variations, before they manifest themselves as a sudden change in the phase behavior. It is assumed that these parameter variations occur slowly in time. Early detection of slow time-scale anomalous behavior in nonlinear dynamical system is achieved by observing and inferring time series data of the state or output variables, at the fast time-scale. The detection algorithm makes use of Symbolic Dynamics and Finite State Automata. As an example, we consider the Duffing equation which is a second order non-linear differential equation. The methodology is validated both in simulation and experiment. This concept can be further extended to dynamical systems of higher complexity.",

author = "Venkatesh Rajagopalan and Rohan Samsi and Asok Ray and Jeffrey Mayer and Lagoa, \{Constantino Manuel\}",

year = "2004",

language = "English (US)",

isbn = "0889864551",

series = "Proceedings of the IASTED International Conference on Circuits, Signals, and Systems",

pages = "213--218",

editor = "M.H. Rashid",

booktitle = "Proceedings of the IASTED International Conference on Circuits, Signals, and Systems",

note = "Proceedings of the IASTED International Conference on Circuits, Signals, and Systems ; Conference date: 28-11-2004 Through 01-12-2004",

}

Rajagopalan, V, Samsi, R, Ray, A, Mayer, J & Lagoa, CM 2004, A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems. in MH Rashid (ed.), Proceedings of the IASTED International Conference on Circuits, Signals, and Systems., 449-082, Proceedings of the IASTED International Conference on Circuits, Signals, and Systems, pp. 213-218, Proceedings of the IASTED International Conference on Circuits, Signals, and Systems, Clearwater Beach, FL, United States, 11/28/04.

A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems. / Rajagopalan, Venkatesh; Samsi, Rohan; Ray, Asok et al.
Proceedings of the IASTED International Conference on Circuits, Signals, and Systems. ed. / M.H. Rashid. 2004. p. 213-218 449-082 (Proceedings of the IASTED International Conference on Circuits, Signals, and Systems).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems

AU - Rajagopalan, Venkatesh

AU - Samsi, Rohan

AU - Ray, Asok

AU - Mayer, Jeffrey

AU - Lagoa, Constantino Manuel

PY - 2004

Y1 - 2004

N2 - This paper deals with the early detection of small parameter variations in non-linear systems. The objective is to detect these variations, before they manifest themselves as a sudden change in the phase behavior. It is assumed that these parameter variations occur slowly in time. Early detection of slow time-scale anomalous behavior in nonlinear dynamical system is achieved by observing and inferring time series data of the state or output variables, at the fast time-scale. The detection algorithm makes use of Symbolic Dynamics and Finite State Automata. As an example, we consider the Duffing equation which is a second order non-linear differential equation. The methodology is validated both in simulation and experiment. This concept can be further extended to dynamical systems of higher complexity.

AB - This paper deals with the early detection of small parameter variations in non-linear systems. The objective is to detect these variations, before they manifest themselves as a sudden change in the phase behavior. It is assumed that these parameter variations occur slowly in time. Early detection of slow time-scale anomalous behavior in nonlinear dynamical system is achieved by observing and inferring time series data of the state or output variables, at the fast time-scale. The detection algorithm makes use of Symbolic Dynamics and Finite State Automata. As an example, we consider the Duffing equation which is a second order non-linear differential equation. The methodology is validated both in simulation and experiment. This concept can be further extended to dynamical systems of higher complexity.

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M3 - Conference contribution

AN - SCOPUS:11144262322

SN - 0889864551

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T3 - Proceedings of the IASTED International Conference on Circuits, Signals, and Systems

SP - 213

EP - 218

BT - Proceedings of the IASTED International Conference on Circuits, Signals, and Systems

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T2 - Proceedings of the IASTED International Conference on Circuits, Signals, and Systems

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ER -

A symbolic dynamics approach for early detection of slowly evolving faults in nonlinear systems

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