论文信息 - Operating modes distinguishability condition in switching systems

Operating modes distinguishability condition in switching systems

In this paper, we consider a switching system with several operating modes which represent normal or faulty behavior. The objective is to find a necessary and sufficient condition to distinguish these modes through the input/output data. If faulty operation modes are considered the distinguishability condition corresponds to a fault detectability condition. As in [1], we define in this paper two notions of distinguishability: the distinguishability through the input/output data of the system and the distinguishability through the parity residuals of each mode. The Necessary and Sufficient Condition (NSC) of distinguishability through parity-space residuals in [1] was obtained in the case where the parity-space orders are identical in all modes. Here a more generalized NSC of distinguishability is provided for systems which could have different parity-space orders. We show in this context two main results: a NSC of distinguishability through parity residuals which generalizes the NSC in [1] and the equivalence between the two notions of distinguishability. We also demonstrate that the distinguishability definition in [1] is linked to the notion of equivalent representations used in the theory of realization.

[1] Philippe de Larminat. Analysis and Control of Linear Systems , 2007 .

[2] V. Cocquempot,et al. Fault detection and isolation for hybrid systems using structured parity residuals , 2004, 2004 5th Asian Control Conference (IEEE Cat. No.04EX904).

[3] Hongwei Lou,et al. The distinguishability of linear control systems , 2009 .

[4] A. Willsky,et al. Analytical redundancy and the design of robust failure detection systems , 1984 .

[5] Hongwei Lou,et al. Conditions for distinguishability and observability of switched linear systems , 2011 .

[6] L. Silverman. Realization of linear dynamical systems , 1971 .

[7] B. Schutter,et al. Minimal state-space realization in linear system theory: an overview , 2000 .

[8] Jie Chen,et al. Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[9] A. Morse,et al. Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).