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Mutual Detectability and System Enlargement of Detection Filters: An Invariant Zero Approach  

Kim, Yong-Min (NanoTronix Co., Ltd.)
Park, Jae-Hong (School of Electrical Engineering, Seoul National Universtiy)
Publication Information
International Journal of Control, Automation, and Systems / v.4, no.6, 2006 , pp. 769-774 More about this Journal
Abstract
In this paper, we discuss the problem of non-mutual detectability using the invariant zero. We propose a representation method for excess spaces by linear equation based on the Rosenbrock system matrix. As an alternative to the system enlargement method proposed by White[1], we propose an appropriate form of an enlarged system to make a set of faults mutually detectable by assigning sufficient geometric multiplicity of invariant zeros. We show the equivalence between the two methods and a necessary condition for the system enlargement in terms of the geometric and algebraic multiplicities of invariant zeros.
Keywords
Fault detection filter; fault diagnosis; invariant zero; mutual detectability;
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