Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2011; 9(2): 396-401
Published online April 2, 2011
https://doi.org/10.1007/s12555-011-0223-2
© The International Journal of Control, Automation, and Systems
Fault Detection for Discrete-time Switched Systems with Interval Time-varying Delays
This paper investigates the problem of fault detection filter design for discrete-time switched systems with interval time-varying delays. The residual generator is constructed based on a mode-dependent fault detection filter, i.e., the designed fault detection filter is also a switched system as well. By constructing a novel switched Lyapunov functional, a new criterion is obtained for the residual system. Based on this, a sufficient condition for the existence of the above filter is established in terms of linear matrix inequalities (LMIs). The designed fault detection filter can guarantee the difference between the generated residual signal and the fault signal as small as possible. An example is provided to illustrate the effectiveness of the proposed method.
Keywords Fault detection, linear matrix inequality (LMI), switched system, time-varying delays.
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Technical Notes and Correspondence
International Journal of Control, Automation and Systems 2011; 9(2): 396-401
Published online April 1, 2011 https://doi.org/10.1007/s12555-011-0223-2
Copyright © The International Journal of Control, Automation, and Systems.
Fault Detection for Discrete-time Switched Systems with Interval Time-varying Delays
Bin Jiang, Dongsheng Du, and Vincent Cocquempot
Nanjing University of Aeronautics and Astronautics, China
Abstract
This paper investigates the problem of fault detection filter design for discrete-time switched systems with interval time-varying delays. The residual generator is constructed based on a mode-dependent fault detection filter, i.e., the designed fault detection filter is also a switched system as well. By constructing a novel switched Lyapunov functional, a new criterion is obtained for the residual system. Based on this, a sufficient condition for the existence of the above filter is established in terms of linear matrix inequalities (LMIs). The designed fault detection filter can guarantee the difference between the generated residual signal and the fault signal as small as possible. An example is provided to illustrate the effectiveness of the proposed method.
Keywords: Fault detection, linear matrix inequality (LMI), switched system, time-varying delays.
Vol. 23, No. 3, pp. 683~972
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