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Subspace Instability Monitoring for Linear Periodically Time-Varying Systems

Jhinaoui, Ahmed and Mevel, Laurent and Morlier, Joseph Subspace Instability Monitoring for Linear Periodically Time-Varying Systems. (2012) In: 16th IFAC Symposium on System Identification, 11-13 Jul 2012, Brussels, Belgium .

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Official URL: http://dx.doi.org/10.3182/20120711-3-BE-2027.00272

Abstract

Most subspace-based methods enabling instability monitoring are restricted to the linear time-invariant (LTI) systems. In this paper, a new subspace method of instability monitoring is proposed for the linear periodically time-varying (LPTV) case. For some LPTV systems, the system transition matrices may depend on some parameter and are also periodic in time. A certain range of values for the parameter leads to an unstable transition matrix. Early warning should be given when the system gets close to that region, taking into account the time variation of the system. Using the theory of Floquet, some symptom parameter of stability- or residual- is defined. Then, the parameter variation is tracked by performing a set of parallel cumulative sum (CUSUM) tests. Finally, the method is tested on a simulated model of a helicopter with hinged blades, for monitoring the ground resonance phenomenon.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution: Université de Toulouse > Ecole des Mines d'Albi-Carmaux - EMAC
French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
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Deposited By:Joseph Morlier

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