@MISC{Nenarokomov_identificationof, author = {Aleksey V. Nenarokomov and Oleg M. Alifanov}, title = {IDENTIFICATION OF LUMPED PARAMETER SYSTEMS}, year = {} }

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Abstract

The present paper considers the extreme method for solving an identification problem for lumped parameter systems. Due to mathematical ill-posedness of this problem the question of choosing a method for constructing a minimized sequence of approximations and that for sampling a required solution from it is critical. It is shown that for this purpose we can successfully use the specifically developed algorithms based on the conjugate gradient methods. Stopping of the corresponding iterative processes, providing stability of the problem solving, should be performed by means of appropriate matching of the criterion functional value and the total measurement error. The accuracy of the solution of inverse problems obtained by the suggested algorithms is discussed. Evaluation of the technique suggested has been made in determining the integral emissivity factor ε and the absorption coefficient As of the spacecraft surface. The results obtained directly in orbit conditions are discussed. f Experimental measurements g Increment of unknown function q Heat flux u Unknown function β Parameter of a minimization method γ Descent step δ Measurements error ε Emissivity σ Deviation of measurements τ Time υ Sensitivity function ψ Adjoint variable ω Angular velocity l; j current element of system m time s iteration