Identification of Parametrical Restrictions in Staic Systems in Conditions of Uncertainty

Abstract

Abstract-The approach to an estimation of area of parametrical restrictions (APR) for static linear system on parameters in the conditions of uncertainty is offered. For decision-making indicators of do mination o f an exit of model over an exit of system and the special indicator setting admissible level of errors of domination are used. The case of the representation of area of restrictions in the form of boundaries fro m belo w and fro m above on a mod ification of parameters of system is considered. The iteration algorith m of identification of restrictions and decision-making is offered. The adaptive algorithm of an estimation of boundaries of area of parametrical restrictions is synthesized. Procedure of estimat ion APR on the basis of the analysis of a field of secants of system is described. Method development on a case of representation APR in the form of restriction on norm of a modification of parameters of system is given. Various forms of vectorial norms and algorith ms of construction of area of parametrical restrictions corresponding to them are considered.

Structural Identification of Control Objects—A Review

“…In [26,133], the PCD construction approach proposes for static systems under uncertainty. Various approaches consider for describing the PCD.…”

Frameworks in Problems of Structural Identification Systems

“…The main advantage the secant method is decisionmaking on a class of linear functions (secants). The secant method gives to the problem identification solution of parametric restrictions SS under uncertainty [34]. The special class of frameworks specified in space of system outputs and model outputs, is applied to the estimation of parametric restrictions.…”