GUARANTEED CONTROL OR SYSTEM CONFIRMATION

A new approach to the control problem for a given technical state of o bjects by input-output signals is presented. The problem is stated and solved in deterministic form. The abstract control problem (ACP) is s tated on the basis of the external extension of the definition, and su fficient conditions of fault detection for linear dynamic systems are formulated for the first time. It was proved that the solution of a sy stem of ACP operator equations is reduced to three variants of similar ity transformation type, independent of the representation form. The f irst variant corresponds to the fault detection of a Linear dynamic sy stem with an invertible similarity transformation (the duplication sch eme). The second variant corresponds to the similarity transformation regular by Neumann (the reduced order control scheme). The third varia nt is the degenerate transformation, which does not provide conditions of guaranteed control. It is shown that the known fault detection met hods, i.e., the Luenberger observers, surplus variable, algebraic inva riants, and compatibility relations methods, correspond to the degener ate similarity transformation. A complete example of different variant s of the guaranteed control problem is given.