ADAPTABILITY OF A LINEAR DYNAMIC SYSTEM WITH AN IDENTIFIER AND A REFERENCE MODEL

The problem of adaptive control of a linearobject using a controller w ith an implicit reference model (standard) and a subsystem of parametr ic current information is considered. A is shown that for the class of systems under study the adaptation errors do not stem from the object parameter estimates as such, but only depend on the discrepancies bet ween the procedures of estimation. Conditions for asymptotically preci se tracking of the standard by a controlled object are formulated. The se conditions are the condition under which the matrix of coefficients of the reference model exhibits the properties of the Hurwitz matrix and the rant condition on the combination of an estimate and a true va lue of the matrix of coefficients accounting for the efficiencies of o bject inputs. An illustrative example is given.