A linear model with uncertain matrices

The paper presents a time domain estimation method for uncertain parameters of aircraft turbofan engine model. The parameter estimation makes use of a multivariable linear model with uncertain matrix elements. The uncertainty of matrix elements enables the description of the difference between nonlinear and linear models. Minimum and maximum values of linear model's uncertain matrix elements are determined using nonlinear model time responses and quadratic or linear programming techniques. The results of the proposed techniques application to the estimation of the uncertain matrix elements in a linear model of an aircraft turbofan engine are presented.