Nonlinear diagnostic filter design: Algebraic and geometric points of view. (English) Zbl 1334.93081

Shumsky, Alexey; Zhirabok, Alexey

Int. J. Appl. Math. Comput. Sci. 16, No. 1, 115-127 (2006).

Summary: The problem of diagnostic filter design is studied. Algebraic and geometric approaches to solving this problem are investigated. Some relations between these approaches are established. New definitions of fault detectability and isolability are formulated. On the basis of these definitions, a procedure for diagnostic filter design is given in both algebraic and geometric terms.

MSC:

93C10	Nonlinear systems in control theory
93B27	Geometric methods
93B25	Algebraic methods
93C15	Control/observation systems governed by ordinary differential equations

Keywords:

diagnostic filter; nonlinear systems; geometric approach; algebraic approach; fault detection and isolation; observers