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A geometric approach to the synthesis of failure detection filters. (English) Zbl 0599.93017
The paper presents a geometric formulation of the Beard-Jones failure detection filter problem for continuous linear constant systems, using the concepts of (C,A)-invariant and unobservability subspaces.
Necessary and sufficient conditions for the existence of a detection filter with arbitrarily assignable spectrum are derived. Practical design procedures are suggested when the failure events satisfy some rather mild restrictions.
Finally, a dual relationship between a generalization of Beard’s detection filter problem and the restricted control decoupling problem is revealed.
Reviewer: O.Pastravanu

MSC:
93B50 Synthesis problems
93E10 Estimation and detection in stochastic control theory
93E11 Filtering in stochastic control theory
62N05 Reliability and life testing
90B25 Reliability, availability, maintenance, inspection in operations research
47A15 Invariant subspaces of linear operators
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