Dual Control and Identification Methods for Avionic System - Part 2, Optimal Inputs for Linear System Identification
SYSTEMS CONTROL INC (VT) PALO ALTO CA PALO ALTO United States
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The report presents the results of the second part of a one-year study on Dual Control and Identification Methods for Avionic Systems. First, a general theory is developed for designing optimal inputs to identify parameters in linear dynamic systems. It is shown that the optimal energy constrained unput maximizing a weighted trace of the Fisher information matrix is an eigenfunction of a positive self-adjoint operator corresponding to its largest eigenvalue. Several numerical algorithms are described for computing the optimal inputs. A computer program based on the Riccati Equation algorithm is developed and used for computing optimal elevator deflection time histories to identify the short period stability and control derivatives of C-8 aircraft.