Causal parameter identification †

Abstract

Consider a system T which is dependent on a parameter tuplet λ∊R^RThe map λ→T( λ) is linearized about an a priori point λ_o, Parameter identification consists of using the observation (u,T( λ)u) to invert the linearized λ→T( λ) map. State variable realization of this inverse function and related topics are developed. Examples and a computer simulation demonstrate the synthesis procedure.