Rapid Model Selection and the Separability Index

Under the assumption that one of two given linear models is the real underlying model of the system, a proper auxiliary signal is defined as an input signal that allows the selection of the correct model. Under the assumption that model noises have bounded energy, the separability index is defined as the inverse of the energy of the proper auxiliary signal of least energy. A method for the computation of this index and the construction of the auxiliary signal is presented. Finally, an efficient procedure for on-line identification called the hyperplane test is developed.

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“…The problem is the optimization over ¥ . An approach using optimization software is discussed in [2] which may be able to deal with such systems.…”

Section: Discussionmentioning

confidence: 99%

Auxiliary signal design for robust multimodel identification

Nikoukhah

Campbell

Horton

et al. 2002

IEEE Trans. Automat. Contr.

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“…The area of active fault diagnosis (AFD) has been considered in a number of papers (Campbell, Horton and Nikoukhah, 2002;Campbell, Horton, Nikoukhah and Delebecque, 2000;Campbell and Nikoukhah, 2004b;Kerestecioglu and Zarrop, 1994;Niemann, 2006;Nikoukhah, 1994;Nikoukhah, 1998; and books (Campbell and Nikoukhah, 2004a;Kerestecioglu, 1993;Zhang, 1989).…”

Section: Introductionmentioning

confidence: 99%

Active Fault Diagnosis Based on Stochastic Tests

Poulsen¹,

Niemann²

2008

International Journal of Applied Mathematics and Computer Science

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Active Fault Diagnosis Based on Stochastic TestsThe focus of this paper is on stochastic change detection applied in connection with active fault diagnosis (AFD). An auxiliary input signal is applied in AFD. This signal injection in the system will in general allow us to obtain a fast change detection/isolation by considering the output or an error output from the system. The classical cumulative sum (CUSUM) test will be modified with respect to the AFD approach applied. The CUSUM method will be altered such that it will be able to detect a change in the signature from the auxiliary input signal in an (error) output signal. It will be shown how it is possible to apply both the gain and the phase change of the output signal in CUSUM tests. The method is demonstrated using an example.

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“…In the active approach, the auxiliary inputs can be designed to excite specified possible faults with a minimal effect on the complete system. The AFD approach has mainly been applied on open-loop systems [2], [3], [5], [13], and [14], but in [9] and [10] the AFD approach has been applied in connection with closed loop systems. It has been shown in [9], [10] that using AFD on a closed loop system is very closely related to the YJBK and the dual YJBK parameterization.…”

Section: Introductionmentioning

confidence: 99%

A Setup for Active Fault Diagnosis

Niemann

2006

IEEE Trans. Automat. Contr.

130

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Abstract-A setup for active fault diagnosis (AFD) of parametric faults in dynamic systems is formulated in this note. It is shown that it is possible to use the same setup for both open loop systems, closed-loop systems based on a nominal feedback controller as well as for closed-loop systems based on a reconfigured feedback controller. This will make the proposed AFD approach very useful in connection with fault tolerant control (FTC). The setup will make it possible to let the fault diagnosis part of the fault tolerant controller remain unchanged after a change in the feedback controller. The setup for AFD is based on the Youla-Jabr-Bongiorno-Kucera (YJBK) parameterization of all stabilizing feedback controllers and the dual YJBK parameterization. It is shown that the AFD is based directly on the dual YJBK transfer function matrix. This matrix will be named the fault signature matrix when it is used in connection with AFD.Index Terms-Active fault diagnosis (AFD), controller reconfiguration, dual Youla-Jabr-Bongiorno-Kucera (YJBK) parameterization, feedback control systems.

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Rapid Model Selection and the Separability Index

Cited by 14 publications

References 3 publications

Auxiliary signal design for robust multimodel identification

Auxiliary signal design for robust multimodel identification

Active Fault Diagnosis Based on Stochastic Tests

A Setup for Active Fault Diagnosis

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