DEVELOPMENT OF A COMPOSITE IDENTIFICATION AND CONTROL FUNCTIONAL FOR A MULTIVARIABLE ADAPTIVE SYSTEM

A structurally constrained discrete state space model is employed as the basis in the development of an identification and control procedure. System excitation is conditioned in accordance with a restricted minimization of a composite cost functional embodying a compromise legitimizing simultaneous identification and control. Alternative scalar measures of the system identified parametric transition matrices are combined with a state quadratic control measure in the composite cost, and an investigation of the effect of a scalar weighting in the functional (offsetting identification with control) considered. Tabular and graphical results are presented covering the likely range of the proposed systems applicability.