Papers by Keyword: Analytic Description

Abstract: In this paper, the attention is focused on the optimization of a particular class of nonlinear systems. The optimum linear solution is not the best one so the problem of determining a nonlinear state feedback optimal control law with quadratic performance index over infinite time horizon is considered. It isn't an easy task and the most discouraging obstacle is the resolution of the Hamilton-Jacobi equation. Thus our contribution, based on the use of the tensor product and its algebraic laws, provide analytic solutions of the studied optimal control problem. The polynomial state feedback solution is computed through a numerical procedure. A numerical example is treated to illustrate the proposed solutions and some conclusions are drawn.

Abstract: The paper describes a method of analytic description of impulse response (IR) signals obtained during the test of technical object. The proposed description is based on the curve fitting to obtain the values of the parameters of analytic form of auto-correlation and power spectral density function. The impulse excitation is given into thoroughly described points of object and the proper fragment of IR is selected in the order to assure the accuracy of the curve fitting over the level of 90%. This approach enables to describe changes of IR signals in the form of percentage variations in the parameters of the auto-correlation and power spectral density function (e.g. changes from the object damage).