On an adaptive method of regulator parameters adjustment at discrete time points
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 2
Abstract
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minimizing the quality criterion. The criterion describes Euclidean distance between the system trajectory and the equilibrium point. In order to solve the minimization problem, we linearise the solution of the system in the neighbourhood of the current parameter value via the sensitivity function. The sensitivity function depends on the system solution. We calculate this function plugging the current system solution into the right part of the differential matrix sensitivity equation. We obtain the method and its modifications by minimizing the quadratic part of the quality criterion at the current time. Further we apply the developed algorithm to the problem of stabilization of two-mass oscillations. For this purpose we find the parametric representation of the proper regulator. In computational experiment we use the case of one parameter regulator and the constant time step. The results of the computational experiment are given in the last section of the paper.
Authors and Affiliations
Pichkur V. V. , T. M. Rogovchenko
Keywords
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