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Aerospace Instrument-Making

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Piecewise-linear model with uncertain matrix parameters.
R.L. Leybov

The estimation method of uncertain parameters of the aircraft gas-turbine engine simplified model is presented in the time domain. The parameter estimation makes use of a multivariable piece-wise linear model having uncertain matrix parameters. The matrix elements uncertainty describes the difference between nonlinear and the piece-wise linear models. The piece-wise linear model is a set of the linear models. Minimal and maximal values of the linear models of the uncertain matrix elements are determined using nonlinear model time responses for a set of operating points and quadratic or nonlinear programming. The results of the estimation method of the piece-wise linear model of the uncertain matrix elements application for the aircraft gas-turbine engine are presented.

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